首页 > 最新文献

Progress of Theoretical Physics Supplement最新文献

英文 中文
Preface to Part I: Proceedings of the Japan-US. A Collaborative Workshops on the History of Particle Theory in Japan, 1930–1950 第一部分序言:日美诉讼。日本粒子理论历史合作研讨会,1930-1950
Pub Date : 2013-05-17 DOI: 10.1093/PTPSUPP.105.2
L. Brown, M. Konuma, Z. Maki
{"title":"Preface to Part I: Proceedings of the Japan-US. A Collaborative Workshops on the History of Particle Theory in Japan, 1930–1950","authors":"L. Brown, M. Konuma, Z. Maki","doi":"10.1093/PTPSUPP.105.2","DOIUrl":"https://doi.org/10.1093/PTPSUPP.105.2","url":null,"abstract":"","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"105 1","pages":"2-3"},"PeriodicalIF":0.0,"publicationDate":"2013-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/PTPSUPP.105.2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61190142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Density Dependence in - Atoms and Implications for Hypernuclei 原子的密度依赖及其对超核的影响
Pub Date : 2013-05-17 DOI: 10.1143/PTP.117.227
C. Batty, E. Friedman, A. Gal
{"title":"Density Dependence in - Atoms and Implications for Hypernuclei","authors":"C. Batty, E. Friedman, A. Gal","doi":"10.1143/PTP.117.227","DOIUrl":"https://doi.org/10.1143/PTP.117.227","url":null,"abstract":"","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"117 1","pages":"227-240"},"PeriodicalIF":0.0,"publicationDate":"2013-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63976201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Photoemission and the Electronic Structure of Transition Metal Compounds 过渡金属化合物的光发射和电子结构
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.101.231
J. Zaanen, G. Sawatzky
In this paper we study the valence electronic structure of 3d transition metal compounds in an Anderson impurity approximation. Using simplified models we arrive at a classification scheme (in terms of several parameters) for the nature of the band gaps in these materials. Mott-Hubbard insulators, in the simple sense, are special cases in this scheme. Another important class of insulators is characterized by light holes of ligand p character and heavy d-like electrons (charge-transfer semiconductors). Within the same theoretical basis we develop the theory describing the photoemission and inverse photoemission spectra from which one can obtain values for the parameters in the Anderson impurity Hamiltonian. Using an exact two particle Green's function formalism the photoemission of CuCl2 is studied and it is shown that this compound is a charge-transfer semi-conductor. For the more general case an approximate, easy to use method is developed and is applied to the (inverse) photoemission of NiO. It is shown that NiO can be characterized as being intermediate between the Mott-Hubbard and charge-transfer regimes.
本文用安德森杂质近似法研究了三维过渡金属化合物的价电子结构。使用简化模型,我们得到了这些材料中带隙性质的分类方案(根据几个参数)。简单地说,莫特-哈伯德绝缘体是这个方案中的特殊情况。另一类重要的绝缘体具有配体p特征的轻空穴和重类d电子(电荷转移半导体)。在相同的理论基础上,我们发展了描述光发射和逆光发射光谱的理论,从中可以得到安德森杂质哈密顿量的参数值。利用精确的两粒子格林函数形式研究了CuCl2的光发射,证明了该化合物是一种电荷转移半导体。对于更一般的情况,提出了一种近似的、易于使用的方法,并将其应用于NiO的(逆)光电发射。结果表明,NiO可以被表征为介于Mott-Hubbard和电荷转移体系之间。
{"title":"Photoemission and the Electronic Structure of Transition Metal Compounds","authors":"J. Zaanen, G. Sawatzky","doi":"10.1143/PTPS.101.231","DOIUrl":"https://doi.org/10.1143/PTPS.101.231","url":null,"abstract":"In this paper we study the valence electronic structure of 3d transition metal compounds in an Anderson impurity approximation. Using simplified models we arrive at a classification scheme (in terms of several parameters) for the nature of the band gaps in these materials. Mott-Hubbard insulators, in the simple sense, are special cases in this scheme. Another important class of insulators is characterized by light holes of ligand p character and heavy d-like electrons (charge-transfer semiconductors). Within the same theoretical basis we develop the theory describing the photoemission and inverse photoemission spectra from which one can obtain values for the parameters in the Anderson impurity Hamiltonian. Using an exact two particle Green's function formalism the photoemission of CuCl2 is studied and it is shown that this compound is a charge-transfer semi-conductor. For the more general case an approximate, easy to use method is developed and is applied to the (inverse) photoemission of NiO. It is shown that NiO can be characterized as being intermediate between the Mott-Hubbard and charge-transfer regimes.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"101 1","pages":"231-270"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTPS.101.231","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64704223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Electron-Electron Correlation, Resonant Photoemission and X-Ray Emission Spectra 电子-电子相关,共振光发射和x射线发射光谱
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.101.271
J. Parlebas, A. Kotani, Satoshi Tanaka
In this short review paper we essentially focus on the high energy spectroscopies which involve second order quantum processes, i.e., resonance photoemission, Auger and X-ray emission spectroscopies, denoted respectively by RXPS, AES and XES. First, we summarize the main 3P-RXPS and AES results obtained in Cu and Ni metals; especially we recall that the satellite near the 3P-threshold in the spectra, which arises from a d-hole pair bound state, needs a careful treatment of the electron-electron correlation. Then we analyze the RXPS spectra in a few Ce compounds (Ce02, Ce20a and CeFa) involving 3d or 4d core levels and we interpret the spectra consistently with the other spectroscopies, such as core XPS and XAS which are first order quantum processes. Finally within the same one-impurity model and basically with the same sets of parameters, we review a theory for the Ce 5p-+ 3d XES, as well as for the corresponding RXES, where (1) the incident X-ray is tuned to resonate with the 3d -+4! transition and (2) the X-ray emission due to the 5p-+3d transition is actually observed. The paper ends with a general discussion.
在这篇简短的综述文章中,我们主要关注涉及二阶量子过程的高能光谱,即共振光发射光谱、俄歇光谱和x射线发射光谱,分别用RXPS、AES和XES表示。首先,总结了Cu和Ni金属中获得的主要3P-RXPS和AES结果;特别是我们记得,在光谱中靠近3p阈值的卫星,它是由d空穴对束缚态产生的,需要仔细处理电子-电子相关。在此基础上,对Ce02、Ce20a和CeFa等铈化合物的三维或四维核能级的RXPS光谱进行了分析,并与核心XPS和XAS等一阶量子过程的光谱进行了一致的解释。最后,在相同的单杂质模型和基本相同的参数集下,我们回顾了Ce 5p-+ 3d x射线的理论,以及相应的rx射线,其中(1)入射x射线被调谐为与3d -+4!(2)实际观测到5p-+三维跃迁引起的x射线辐射。论文最后作了一般性讨论。
{"title":"Electron-Electron Correlation, Resonant Photoemission and X-Ray Emission Spectra","authors":"J. Parlebas, A. Kotani, Satoshi Tanaka","doi":"10.1143/PTPS.101.271","DOIUrl":"https://doi.org/10.1143/PTPS.101.271","url":null,"abstract":"In this short review paper we essentially focus on the high energy spectroscopies which involve second order quantum processes, i.e., resonance photoemission, Auger and X-ray emission spectroscopies, denoted respectively by RXPS, AES and XES. First, we summarize the main 3P-RXPS and AES results obtained in Cu and Ni metals; especially we recall that the satellite near the 3P-threshold in the spectra, which arises from a d-hole pair bound state, needs a careful treatment of the electron-electron correlation. Then we analyze the RXPS spectra in a few Ce compounds (Ce02, Ce20a and CeFa) involving 3d or 4d core levels and we interpret the spectra consistently with the other spectroscopies, such as core XPS and XAS which are first order quantum processes. Finally within the same one-impurity model and basically with the same sets of parameters, we review a theory for the Ce 5p-+ 3d XES, as well as for the corresponding RXES, where (1) the incident X-ray is tuned to resonate with the 3d -+4! transition and (2) the X-ray emission due to the 5p-+3d transition is actually observed. The paper ends with a general discussion.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"81 1","pages":"271-302"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64704281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Scattering Amplitudes in Offcritical Models and RSOS Integrable Models 非临界模型和RSOS可积模型中的散射振幅
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.102.301
V. Bazhanov, N. Reshetikhin
In the present paper we study scaling field theories related to the class of exactly solvable noncritical models of statistical mechanics which are known as RSOS (restricted solid-on-solid) or IRF (interaction round a face) models. These models are related to simple Lie algebras and they generalize the integrable version of RSOS model proposed by Andrews, Baxter and Forrester. 1> The models related to gl(n) were found by Jimbo, Miwa and Okado,2> the models related to other classical Lie algebras were obtained by the same authors in Ref. 3) and by Pasquier in Ref. 4) for Dn-case with a special coupling constant. Critical properties of JMO model were found in Ref. 5) where the authors obtain the explicit formulas for magnetization in the model and compute its critical behavior. It was established there that the critical behavior of these models was described by coset conformal field theories. 6>.7> Therefore it is natural to expect that corre­ sponding scaling field theories will be integrable perturbations of these conformal field theories. s> In this paper we describe the thermodynamics of the noncritical magnetic chain. Then we find the ground state, excitations over the ground state and the scattering amplitudes of excitations. By getting the scaling limit over the ground state of the model we compute the central charges of corresponding field theories, the dimensions of perturbations, the spectrum and scattering amplitudes of excitations. Under certain assumptions we generalize these results for any Lie algebra of A-D-E type. In certain simplest cases this gives known S-matrices like Es, E1, Es scalar S-matrices.9> In certain other models matrix elements of the S-matrix are given by Pasquier's solutions 4> of the Yang-Baxter equation. We do not discuss here the relation of RSOS models to integrable models of vertex type. 23>' 25> Partially the relation was explained in Refs. 4) and 26). The relation between the spectrum of row-to-row transfer matrices in RSOS and in vertex models will be given in a separate publication. For some of the scaling models the same answer was obtained by Bernard and
在本文中,我们研究了与统计力学中一类精确可解的非临界模型相关的标度场理论,这些模型被称为RSOS(受限固对固)或IRF(面相互作用)模型。这些模型与简单李代数相关,它们推广了Andrews, Baxter和Forrester提出的RSOS模型的可积版本。1 b>与gl(n)相关的模型由Jimbo, Miwa和Okado发现,2 b>与其他经典李代数相关的模型由相同的作者在参考3中得到,并由Pasquier在参考4中得到具有特殊耦合常数的Dn-case。JMO模型的临界性质见文献5),作者在文献5中得到了模型中磁化强度的显式公式,并计算了模型的临界行为。建立了用协集共形场理论描述这些模型的临界行为。6 >。因此,很自然地期望相应的标度场理论将是这些共形场理论的可积微扰。本文描述了非临界磁链的热力学。然后求出基态,基态上的激发和激发的散射振幅。通过得到模型基态上的标度极限,我们计算了相应场论的中心电荷、微扰的维数、激发的谱和散射振幅。在一定的假设下,我们将这些结果推广到任何A-D-E型李代数。在某些最简单的情况下,它给出了已知的s矩阵,比如Es E1 Es标量s矩阵。在某些其他模型中,s矩阵的矩阵元素由Yang-Baxter方程的Pasquier解给出。本文不讨论RSOS模型与顶点型可积模型的关系。参考文献4和26部分解释了这种关系。在RSOS和顶点模型中行到行转移矩阵的谱之间的关系将在单独的出版物中给出。对于一些比例模型Bernard和
{"title":"Scattering Amplitudes in Offcritical Models and RSOS Integrable Models","authors":"V. Bazhanov, N. Reshetikhin","doi":"10.1143/PTPS.102.301","DOIUrl":"https://doi.org/10.1143/PTPS.102.301","url":null,"abstract":"In the present paper we study scaling field theories related to the class of exactly solvable noncritical models of statistical mechanics which are known as RSOS (restricted solid-on-solid) or IRF (interaction round a face) models. These models are related to simple Lie algebras and they generalize the integrable version of RSOS model proposed by Andrews, Baxter and Forrester. 1> The models related to gl(n) were found by Jimbo, Miwa and Okado,2> the models related to other classical Lie algebras were obtained by the same authors in Ref. 3) and by Pasquier in Ref. 4) for Dn-case with a special coupling constant. Critical properties of JMO model were found in Ref. 5) where the authors obtain the explicit formulas for magnetization in the model and compute its critical behavior. It was established there that the critical behavior of these models was described by coset conformal field theories. 6>.7> Therefore it is natural to expect that corre­ sponding scaling field theories will be integrable perturbations of these conformal field theories. s> In this paper we describe the thermodynamics of the noncritical magnetic chain. Then we find the ground state, excitations over the ground state and the scattering amplitudes of excitations. By getting the scaling limit over the ground state of the model we compute the central charges of corresponding field theories, the dimensions of perturbations, the spectrum and scattering amplitudes of excitations. Under certain assumptions we generalize these results for any Lie algebra of A-D-E type. In certain simplest cases this gives known S-matrices like Es, E1, Es scalar S-matrices.9> In certain other models matrix elements of the S-matrix are given by Pasquier's solutions 4> of the Yang-Baxter equation. We do not discuss here the relation of RSOS models to integrable models of vertex type. 23>' 25> Partially the relation was explained in Refs. 4) and 26). The relation between the spectrum of row-to-row transfer matrices in RSOS and in vertex models will be given in a separate publication. For some of the scaling models the same answer was obtained by Bernard and","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"19 1","pages":"301-318"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTPS.102.301","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64706806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Theory of Post-Collision-Interaction Effect in Resonant XES of La Compounds La化合物共振x射线的碰撞后相互作用理论
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.106.75
A. Mori, Y. Kayanuma, A. Kotani
heory of the resonant 3d→2p X-ray emission spectroscopy (3d→2p RXES) for insulating La compounds is presented; the incident photon is tuned to resonate with the 2p→5d or continuum band (6s, 6d, ..., es, ed) transition and the X-ray emission due to the 3d→2p transition is observed. The spectra are calculated by using the impurity Anderson model and by applying the formula of a coherent second order optical process
提出了绝缘La化合物的三维→2p x射线发射光谱(3d→2p RXES)共振理论;入射光子被调谐到与2p→5d或连续带(6s, 6d,…, es, ed)跃迁和由于3d→2p跃迁引起的x射线发射。利用杂质安德森模型和相干二阶光学过程公式计算了光谱
{"title":"Theory of Post-Collision-Interaction Effect in Resonant XES of La Compounds","authors":"A. Mori, Y. Kayanuma, A. Kotani","doi":"10.1143/PTPS.106.75","DOIUrl":"https://doi.org/10.1143/PTPS.106.75","url":null,"abstract":"heory of the resonant 3d→2p X-ray emission spectroscopy (3d→2p RXES) for insulating La compounds is presented; the incident photon is tuned to resonate with the 2p→5d or continuum band (6s, 6d, ..., es, ed) transition and the X-ray emission due to the 3d→2p transition is observed. The spectra are calculated by using the impurity Anderson model and by applying the formula of a coherent second order optical process","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"106 1","pages":"75-93"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64714782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Heavy Electrons in the Mott-Transition Region 莫特跃迁区的重电子
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.106.95
F. J. Ohkawa
Recent work on the Hubbard model is reviewed. What occur in the Mott-transition region are the formation of the Gutzwiller heavy-electron band within the Mott-Hubbard gap, and magnetic or superconducting instability of heavy-electron liquids by exchange interac­ tions. Application to high-temperature superconductivity in the cuprate oxides is presented ..
本文回顾了哈伯德模型的最新研究成果。在mott跃迁区发生的是Mott-Hubbard隙内Gutzwiller重电子带的形成,以及通过交换相互作用导致的重电子液体的磁性或超导不稳定性。介绍了铜氧化物在高温超导中的应用。
{"title":"Heavy Electrons in the Mott-Transition Region","authors":"F. J. Ohkawa","doi":"10.1143/PTPS.106.95","DOIUrl":"https://doi.org/10.1143/PTPS.106.95","url":null,"abstract":"Recent work on the Hubbard model is reviewed. What occur in the Mott-transition region are the formation of the Gutzwiller heavy-electron band within the Mott-Hubbard gap, and magnetic or superconducting instability of heavy-electron liquids by exchange interac­ tions. Application to high-temperature superconductivity in the cuprate oxides is presented ..","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"106 1","pages":"95-107"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64714884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Quantum Classical Correspondence in Nonintegrable Systems with Continuous Parameter 连续参数不可积系统中的量子经典对应
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.116.303
T. Takami
We study quantum classical correspondence in nonintegrable systems with a continuous parameter. In a stadium billiard with an aspect ratio as a parameter, we show that the slope of the parametric motion of eigenvalues is mainly due to the first derivative of periodic orbit length with respect to the parameter. We also present a viewpoint for scarred wavefunctions in a continuous change of the systems. Since the discovery of scars 1 > in a stadium billiard/> a number of authors have studied properties of scars numerically in various systems.3> Several theoretical studies4 >,s> have tried to explain the extra accumulation of the wave function on an unstable periodic orbit (PO). Although these works seemed to confirm the existence of scars both numerically and theoretically, the semiclassical theory for individual eigenstates in nonintegrable systems has not been given yet. The difficulty in the investigation for the individual eigenstates is due to the strong interaction with other states. The origin of the repulsive interaction has been studied by many authors, and was related to chaotic behavior in the classical motion. 6> When we change a parameter in the Hamiltonian, it is well known that eigenvalues of nonintegrable systems show a number of avoided crossings due to the interaction. The definite representation for the interaction was given by the level dynamics,?> and the motion of levels was shown to be described by a classical Hamiltonian with complete integrability. The curvature of levels, i.e. the second derivative of eigenvalues with respect to the parameter, have been introduced to characterize the parametric property of eigenvalues, and the expressions for the large curvature tail of the distribution have been derived. 8> The universal behavior in large curvatures is checked in various systems by numerical calculations. 9 > On the other hand, the nonuniversal behavior of small curvatures was discovered numerically. 10> Zakrzewski and Delande11> suggest that the discrepancy in small curvatures can be used to classify the degree of scarring in different systems. In this paper, we consider the relation between classical PO's and the parametric motion of eigenvalues of the stadium billiard with an aspect ratio as a parameter. In § 2, we study properties of PO's when we change the parameter continuously. We concentrate on the continuity of the PO's and calculate the first derivative of the
研究了具有连续参数的不可积系统中的量子经典对应。在以展弦比为参数的体育场台球中,我们证明了特征值的参数运动的斜率主要是由周期轨道长度对参数的一阶导数引起的。我们还提出了系统连续变化中的伤痕波函数的观点。自从在体育场台球中发现了疤痕以来,许多作者对各种系统中疤痕的性质进行了数值研究。一些理论研究试图解释波函数在不稳定周期轨道(PO)上的额外积累。虽然这些工作似乎在数值和理论上都证实了疤痕的存在,但尚未给出不可积系统中单个特征态的半经典理论。研究单个特征态的困难是由于与其他态的强相互作用。排斥相互作用的起源已经被许多作者研究过,并且与经典运动中的混沌行为有关。当我们改变哈密顿量中的一个参数时,众所周知,不可积系统的特征值由于相互作用而显示出许多避免交叉。这种相互作用的明确表示是由关卡动力学给出的。>和能级的运动可以用一个完全可积的经典哈密顿量来描述。引入水平曲率,即特征值对参数的二阶导数来表征特征值的参数化性质,并推导了分布的大曲率尾的表达式。8>通过数值计算在各种系统中检验了大曲率下的普遍行为。另一方面,用数值方法发现了小曲率的非普适性。Zakrzewski和Delande11提出,小曲率的差异可以用来对不同系统的疤痕程度进行分类。本文以长径比为参数,考虑了经典的运动特征值与运动特征值的关系。在§2中,我们研究了连续改变参数时PO的性质。我们专注于PO的连续性,并计算了
{"title":"Quantum Classical Correspondence in Nonintegrable Systems with Continuous Parameter","authors":"T. Takami","doi":"10.1143/PTPS.116.303","DOIUrl":"https://doi.org/10.1143/PTPS.116.303","url":null,"abstract":"We study quantum classical correspondence in nonintegrable systems with a continuous parameter. In a stadium billiard with an aspect ratio as a parameter, we show that the slope of the parametric motion of eigenvalues is mainly due to the first derivative of periodic orbit length with respect to the parameter. We also present a viewpoint for scarred wavefunctions in a continuous change of the systems. Since the discovery of scars 1 > in a stadium billiard/> a number of authors have studied properties of scars numerically in various systems.3> Several theoretical studies4 >,s> have tried to explain the extra accumulation of the wave function on an unstable periodic orbit (PO). Although these works seemed to confirm the existence of scars both numerically and theoretically, the semiclassical theory for individual eigenstates in nonintegrable systems has not been given yet. The difficulty in the investigation for the individual eigenstates is due to the strong interaction with other states. The origin of the repulsive interaction has been studied by many authors, and was related to chaotic behavior in the classical motion. 6> When we change a parameter in the Hamiltonian, it is well known that eigenvalues of nonintegrable systems show a number of avoided crossings due to the interaction. The definite representation for the interaction was given by the level dynamics,?> and the motion of levels was shown to be described by a classical Hamiltonian with complete integrability. The curvature of levels, i.e. the second derivative of eigenvalues with respect to the parameter, have been introduced to characterize the parametric property of eigenvalues, and the expressions for the large curvature tail of the distribution have been derived. 8> The universal behavior in large curvatures is checked in various systems by numerical calculations. 9 > On the other hand, the nonuniversal behavior of small curvatures was discovered numerically. 10> Zakrzewski and Delande11> suggest that the discrepancy in small curvatures can be used to classify the degree of scarring in different systems. In this paper, we consider the relation between classical PO's and the parametric motion of eigenvalues of the stadium billiard with an aspect ratio as a parameter. In § 2, we study properties of PO's when we change the parameter continuously. We concentrate on the continuity of the PO's and calculate the first derivative of the","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"116 1","pages":"303-309"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64726385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
High Energy Heavy-Ion Collisions in a RBUU-Approach with Momentum-Dependent Mean-Fields 具有动量依赖平均场的rbuu方法中的高能重离子碰撞
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.120.283
T. Maruyama, W. Cassing, U. Mosel, S. Teis
We introduce momentum-dependent scalar and vector fields into the Lorentz covariant RBUU-approach in line with the empirical proton-nucleus relativistic optical potential. Within this extended RBUU-approach we perform numerical simulations for heavy-ion collisions and calculate the transverse flow of nucleons as well as subthreshold production of K+ mesons. By means of these observables we discuss the particular role of the momentum­ dependent forces and their implications on the nuclear equation of state. We find that only a momentum-dependent parameter-set can explain the experimental data on the transverse flow from 150-1000 MeV /u and the differential K+-production cross sections at 1 GeV /u at the same time. The main aim of the high energy heavy-ion physics is to determine the equation of state (EOS) of nuclear matter under extreme conditions far from the ground state. Any conclusion on the properties of hot and dense matter must rely on the comparison of the experimental data with theoretical predictions based on nonequilibrium models. Among these, the BUU-approach1>'2> is a very successful approach in describing the time-dependent evolution of the complex system. As a genuine feature of transport theories it has two important ingredients: the mean-fields or self-energies for nucleons and an in-medium nucleon-nucleon cross-section that accounts for the elastic and inelastic channels. By varying the mean-fields which reflect a certain EOS and comparing the theoretical calculations with the experimental data, one expects to be able to determine the nuclear EOS. Within the framework of BUD-simulations we have succeeded to predict/repro­ duce particle production data in heavy-ion collisions and to clarify their reaction processes.3> In spite of this success the nuclear EOS has not been determined com­ pletely, yet. The mean fields cannot be uniquely determined by the equation of state alone, and, in addition, it is not always possible to extract the nuclear EOS from the results of the BUU calculations without ambiguities for other model inputs. The most important model inputs besides the nuclear incompressibility are the momentum-dependence4> and the Lorentz covariance5> of the mean-fields in the high energy region. Thus we introduce an explicit momentum-dependence of the mean
我们根据经验质子-核相对论光学势,在洛伦兹协变rbuu方法中引入动量相关的标量场和矢量场。在这种扩展的rbuu方法中,我们对重离子碰撞进行了数值模拟,并计算了核子的横向流动以及K+介子的亚阈值产生。利用这些可观测值,我们讨论了动量依赖力的特殊作用及其在核状态方程中的意义。我们发现只有一个动量相关的参数集可以同时解释150-1000 MeV /u的横向流动实验数据和1 GeV /u的K+生成截面的差异。高能重离子物理的主要目的是确定远离基态的核物质在极端条件下的状态方程。关于热和致密物质性质的任何结论都必须依赖于实验数据与基于非平衡模型的理论预测的比较。其中,buu -approach是描述复杂系统随时间演化的一种非常成功的方法。作为输运理论的一个真正特征,它有两个重要的组成部分:核子的平均场或自能,以及介质中核子-核子的横截面,它解释了弹性和非弹性通道。通过改变反映某一EOS的平均场,并将理论计算与实验数据进行比较,人们期望能够确定核EOS。在bud模拟的框架内,我们成功地预测/再现了重离子碰撞中的粒子产生数据,并阐明了它们的反应过程。尽管取得了这一成功,但核EOS尚未完全确定。平均场不能仅由状态方程唯一确定,此外,从BUU计算的结果中提取核EOS而对其他模型输入没有歧义并不总是可能的。除了核不可压缩性外,最重要的模型输入是高能区平均场的动量依赖性和洛伦兹协方差。因此,我们引入了均值的显式动量依赖
{"title":"High Energy Heavy-Ion Collisions in a RBUU-Approach with Momentum-Dependent Mean-Fields","authors":"T. Maruyama, W. Cassing, U. Mosel, S. Teis","doi":"10.1143/PTPS.120.283","DOIUrl":"https://doi.org/10.1143/PTPS.120.283","url":null,"abstract":"We introduce momentum-dependent scalar and vector fields into the Lorentz covariant RBUU-approach in line with the empirical proton-nucleus relativistic optical potential. Within this extended RBUU-approach we perform numerical simulations for heavy-ion collisions and calculate the transverse flow of nucleons as well as subthreshold production of K+ mesons. By means of these observables we discuss the particular role of the momentum­ dependent forces and their implications on the nuclear equation of state. We find that only a momentum-dependent parameter-set can explain the experimental data on the transverse flow from 150-1000 MeV /u and the differential K+-production cross sections at 1 GeV /u at the same time. The main aim of the high energy heavy-ion physics is to determine the equation of state (EOS) of nuclear matter under extreme conditions far from the ground state. Any conclusion on the properties of hot and dense matter must rely on the comparison of the experimental data with theoretical predictions based on nonequilibrium models. Among these, the BUU-approach1>'2> is a very successful approach in describing the time-dependent evolution of the complex system. As a genuine feature of transport theories it has two important ingredients: the mean-fields or self-energies for nucleons and an in-medium nucleon-nucleon cross-section that accounts for the elastic and inelastic channels. By varying the mean-fields which reflect a certain EOS and comparing the theoretical calculations with the experimental data, one expects to be able to determine the nuclear EOS. Within the framework of BUD-simulations we have succeeded to predict/repro­ duce particle production data in heavy-ion collisions and to clarify their reaction processes.3> In spite of this success the nuclear EOS has not been determined com­ pletely, yet. The mean fields cannot be uniquely determined by the equation of state alone, and, in addition, it is not always possible to extract the nuclear EOS from the results of the BUU calculations without ambiguities for other model inputs. The most important model inputs besides the nuclear incompressibility are the momentum-dependence4> and the Lorentz covariance5> of the mean-fields in the high energy region. Thus we introduce an explicit momentum-dependence of the mean","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"120 1","pages":"283-288"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64732033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Broadband Dielectric Spectroscopy on Glass Forming Liquids 玻璃成型液体的宽带介电光谱研究
Pub Date : 2013-05-16 DOI: 10.1143/PTPS.126.123
P. Lunkenheimer, A. Pimenov, M. Dressel, B. Schiener, U. Schneider, A. Loidl
{"title":"Broadband Dielectric Spectroscopy on Glass Forming Liquids","authors":"P. Lunkenheimer, A. Pimenov, M. Dressel, B. Schiener, U. Schneider, A. Loidl","doi":"10.1143/PTPS.126.123","DOIUrl":"https://doi.org/10.1143/PTPS.126.123","url":null,"abstract":"","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"126 1","pages":"123-131"},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64740198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
期刊
Progress of Theoretical Physics Supplement
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1