Pub Date : 2023-12-06DOI: 10.1088/1361-6455/ad12d7
Xiaofeng Wang, Shuqin Zhai
Quantum entanglement and EPR steering is an important resource for quantum information. However, it is very fragile and prone to decoherence. Recently, it has been shown that the noiseless linear amplification (NLA) which can be applied to any channel with loss and noise can effectively counteract the effect of quantum decoherence. Besides, the initial quantum correlation can even be exceed by using this method. Thus, it is a useful tool in enhancing quantum entanglement. In this literature, we apply NLA to the tripartite GHZ entangled state and analyze quantum entanglement and steering after NLA. The results showed that the NLA can effectively improve quantum entanglement and expand the range of quantum steering. Simultaneously, they also provide useful direction for the distillation of quantum state using NLA in practical quantum communication.
{"title":"Enhancement of multimode entanglement and asymmetric steering by noiseless linear amplification","authors":"Xiaofeng Wang, Shuqin Zhai","doi":"10.1088/1361-6455/ad12d7","DOIUrl":"https://doi.org/10.1088/1361-6455/ad12d7","url":null,"abstract":"\u0000 Quantum entanglement and EPR steering is an important resource for quantum information. However, it is very fragile and prone to decoherence. Recently, it has been shown that the noiseless linear amplification (NLA) which can be applied to any channel with loss and noise can effectively counteract the effect of quantum decoherence. Besides, the initial quantum correlation can even be exceed by using this method. Thus, it is a useful tool in enhancing quantum entanglement. In this literature, we apply NLA to the tripartite GHZ entangled state and analyze quantum entanglement and steering after NLA. The results showed that the NLA can effectively improve quantum entanglement and expand the range of quantum steering. Simultaneously, they also provide useful direction for the distillation of quantum state using NLA in practical quantum communication.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":"12 7","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138594513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-06DOI: 10.1088/1361-6455/ad12d6
Alpana Pandey, G. Purohit, Daiji Kato, Wolfgang Quint
The evolution of the triple differential cross section (TDCS) for the electron impact ionization of xenon atoms is reported for the variation of momentum of the projectile electron from a coplanar geometry to a perpendicular plane through intermediate angles with the detection plane. The TDCSs have been calculated for the Xe atoms at 60 eV, 80 eV and 100 eV above the ionization potential (IP). We have calculated the TDCS using distorted wave Born approximation (DWBA), utilizing both the first and second Born terms. Effects of target polarization and post-collision interaction (PCI) have also been included in the complete description of the collision dynamics. The TDCS results are compared with recent measurements by Patel et al. [Physical Reviews A 105, 032818 (2022)] showing a dependence between the TDCS and the scattering geometry and kinematics of the collision. Second-order effects have been found significant, particularly in the description of perpendicular plane ionization at a low energy and the effect of target polarization has been found important in describing the coplanar ionization of the xenon target. With an overall good agreement with the recent measurements, there are points of disagreement which are the motivation for further theoretical effort in the near future, as the present attempt is the first of its kind to analyse these measurements.
本文报道了氙原子电子碰撞电离的三重微分截面(TDCS)的演化过程，其中抛射电子的动量通过与探测平面的中间夹角从共面几何到垂直平面的变化。计算了Xe原子在电离势(IP)以上60ev、80ev和100ev时的tdcs。我们使用畸变波玻恩近似(DWBA)计算了TDCS，同时利用了第一和第二玻恩项。靶极化效应和碰撞后相互作用(PCI)也被纳入碰撞动力学的完整描述。将TDCS结果与Patel等人最近的测量结果进行了比较。[Physical Reviews A 105, 032818(2022)]显示TDCS与碰撞的散射几何和运动学之间存在依赖关系。二阶效应已被发现是重要的，特别是在描述低能的垂直平面电离时，而靶极化效应已被发现在描述氙靶的共面电离时很重要。虽然与最近的测量结果总体上是一致的，但也有一些不一致的地方，这是在不久的将来进行进一步理论研究的动机，因为目前的尝试是首次对这些测量结果进行分析。
{"title":"Electron impact triple differential cross sections of Xe atoms for coplanar to perpendicular plane single ionisation at 60 eV, 80 eV and 100 eV above ionization","authors":"Alpana Pandey, G. Purohit, Daiji Kato, Wolfgang Quint","doi":"10.1088/1361-6455/ad12d6","DOIUrl":"https://doi.org/10.1088/1361-6455/ad12d6","url":null,"abstract":"\u0000 The evolution of the triple differential cross section (TDCS) for the electron impact ionization of xenon atoms is reported for the variation of momentum of the projectile electron from a coplanar geometry to a perpendicular plane through intermediate angles with the detection plane. The TDCSs have been calculated for the Xe atoms at 60 eV, 80 eV and 100 eV above the ionization potential (IP). We have calculated the TDCS using distorted wave Born approximation (DWBA), utilizing both the first and second Born terms. Effects of target polarization and post-collision interaction (PCI) have also been included in the complete description of the collision dynamics. The TDCS results are compared with recent measurements by Patel et al. [Physical Reviews A 105, 032818 (2022)] showing a dependence between the TDCS and the scattering geometry and kinematics of the collision. Second-order effects have been found significant, particularly in the description of perpendicular plane ionization at a low energy and the effect of target polarization has been found important in describing the coplanar ionization of the xenon target. With an overall good agreement with the recent measurements, there are points of disagreement which are the motivation for further theoretical effort in the near future, as the present attempt is the first of its kind to analyse these measurements.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":"50 11","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138597457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-08DOI: 10.1088/1361-6455/acf820
Kajsa-My Tempest, Svante Jonsell
We compare effective hyperradial three-body potentials calculated using the S-wave part of the Faddeev equations to calculations using the full Schrödinger equation. As two-body model potential we test both a short-range potential and a Lennard-Jones potential with van der Waals tail. In the former case we find excellent agreement between the two methods for the lowest adiabatic state, indicating that the Faddeev method can be a useful tool also for numerical computations. For excited states the two methods show important differences, but agree for hyperradii larger than about five times the range of the potential (independent of the value of the scattering length and of the number of bound states). For the van der Waals potential, we focus on how well the Faddeev method reproduces the so-called van der Waals universality. We find that indeed the universality is manifest also using this method, but at a slightly different value of the universal parameter κ∗ . We further derive an efficient method to solve the integro-differential equation arising in the Faddeev method.
{"title":"The Faddeev and Schrödinger approaches to Efimov states—a numerical comparison","authors":"Kajsa-My Tempest, Svante Jonsell","doi":"10.1088/1361-6455/acf820","DOIUrl":"https://doi.org/10.1088/1361-6455/acf820","url":null,"abstract":"We compare effective hyperradial three-body potentials calculated using the S-wave part of the Faddeev equations to calculations using the full Schrödinger equation. As two-body model potential we test both a short-range potential and a Lennard-Jones potential with van der Waals tail. In the former case we find excellent agreement between the two methods for the lowest adiabatic state, indicating that the Faddeev method can be a useful tool also for numerical computations. For excited states the two methods show important differences, but agree for hyperradii larger than about five times the range of the potential (independent of the value of the scattering length and of the number of bound states). For the van der Waals potential, we focus on how well the Faddeev method reproduces the so-called van der Waals universality. We find that indeed the universality is manifest also using this method, but at a slightly different value of the universal parameter κ∗ . We further derive an efficient method to solve the integro-differential equation arising in the Faddeev method.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48753102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-08DOI: 10.1088/1361-6455/acf81f
Ori Licht, M. Nihamkin, Mirit Anaby, Patrick Rousseau, Alexandre Giuliani, A. Milosavljević, Rajgir Singh, Vy Nguyen, Laurent Nahon, Yoni Toker
In a recent work, we have shown that photon absorption can cause a chemical bond to be created between the two monomers within a protonated serine dimer, a process known as intra-cluster bond formation, despite this process not occurring following thermal excitation via low energy collision-induced dissociation (LE-CID). Here we show further evidence for non-statistical photon-induced dissociation (PID) of the protonated serine dimer. In addition we discuss LE-CID and PID studies of the protonated serine octamer, showing that in this case as well, PID leads to non-statistical fragmentation and to the formation of two bonds between three neighboring monomers.
{"title":"Vacuum UV studies of protonated serine clusters","authors":"Ori Licht, M. Nihamkin, Mirit Anaby, Patrick Rousseau, Alexandre Giuliani, A. Milosavljević, Rajgir Singh, Vy Nguyen, Laurent Nahon, Yoni Toker","doi":"10.1088/1361-6455/acf81f","DOIUrl":"https://doi.org/10.1088/1361-6455/acf81f","url":null,"abstract":"In a recent work, we have shown that photon absorption can cause a chemical bond to be created between the two monomers within a protonated serine dimer, a process known as intra-cluster bond formation, despite this process not occurring following thermal excitation via low energy collision-induced dissociation (LE-CID). Here we show further evidence for non-statistical photon-induced dissociation (PID) of the protonated serine dimer. In addition we discuss LE-CID and PID studies of the protonated serine octamer, showing that in this case as well, PID leads to non-statistical fragmentation and to the formation of two bonds between three neighboring monomers.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44197693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-07DOI: 10.1088/1361-6455/acf79c
Dmitrii V Rezvan, N. M. Novikovskiy, Daniel M. Haubenreißer, B. Lagutin, P. V. Demekhin
Angular distributions of photoelectrons emitted upon double core-hole (DCH) generation in nitrogen and oxygen molecules are studied theoretically in the frame of a molecular reference. The respective electronic structure calculations are performed by the single center method for photoelectron kinetic energies up to 40 eV in the relaxed-core Hartree–Fock approximation. The molecular frame photoelectron angular distributions are computed for single-site and two-site DCH creation processes and further analyzed for different orientations of the molecular axis with respect to the electric field vector of linearly polarized incident light and for localized or delocalized emitting atomic site scenarios. The present theoretical results provide reliable predictions for future experiments with high-repetition free-electron lasers.
{"title":"Molecular-frame photoelectron angular distributions during double core-hole generation in O2 and N2 molecules","authors":"Dmitrii V Rezvan, N. M. Novikovskiy, Daniel M. Haubenreißer, B. Lagutin, P. V. Demekhin","doi":"10.1088/1361-6455/acf79c","DOIUrl":"https://doi.org/10.1088/1361-6455/acf79c","url":null,"abstract":"Angular distributions of photoelectrons emitted upon double core-hole (DCH) generation in nitrogen and oxygen molecules are studied theoretically in the frame of a molecular reference. The respective electronic structure calculations are performed by the single center method for photoelectron kinetic energies up to 40 eV in the relaxed-core Hartree–Fock approximation. The molecular frame photoelectron angular distributions are computed for single-site and two-site DCH creation processes and further analyzed for different orientations of the molecular axis with respect to the electric field vector of linearly polarized incident light and for localized or delocalized emitting atomic site scenarios. The present theoretical results provide reliable predictions for future experiments with high-repetition free-electron lasers.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44430222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-07DOI: 10.1088/1361-6455/acf79b
cheng yuan, Qiu-Yue Ran, Xiao-Qing Gao, R. Ianconescu, Ze-Long He, Du Ran
In this paper, we propose a scheme to achieve selective population transfer in a Λ-type three-level atomic system with a train of periodical Gaussian pulses. Based on temporal constructive quantum interference between the sequential transitions and subsequent coherent accumulations, the selective population transfer can be achieved with the pulse train, without satisfying the requirement of two-photon resonance condition. It can be understood as a result of the formation of a comb-like structure of the pulse train spectrum in time domain. Numerical simulations demonstrate that the scheme is robust against the wave-form deformation of single pulse while sensitive to the pulse train repetition period. Due to the Gaussian waveform of the laser field been readily implemented in experiments, the scheme holds great practicality for quantum state engineering in quantum information processing.
{"title":"Quantum state engineering in a three-level system with periodical Gaussian pulses","authors":"cheng yuan, Qiu-Yue Ran, Xiao-Qing Gao, R. Ianconescu, Ze-Long He, Du Ran","doi":"10.1088/1361-6455/acf79b","DOIUrl":"https://doi.org/10.1088/1361-6455/acf79b","url":null,"abstract":"In this paper, we propose a scheme to achieve selective population transfer in a Λ-type three-level atomic system with a train of periodical Gaussian pulses. Based on temporal constructive quantum interference between the sequential transitions and subsequent coherent accumulations, the selective population transfer can be achieved with the pulse train, without satisfying the requirement of two-photon resonance condition. It can be understood as a result of the formation of a comb-like structure of the pulse train spectrum in time domain. Numerical simulations demonstrate that the scheme is robust against the wave-form deformation of single pulse while sensitive to the pulse train repetition period. Due to the Gaussian waveform of the laser field been readily implemented in experiments, the scheme holds great practicality for quantum state engineering in quantum information processing.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47117715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-02DOI: 10.1088/1361-6455/acf631
Shinichi Fukahori, Hirokazu Hasegawa
We theoretically investigate the creation of the rotational wave packet in molecular ions upon the strong-field ionization of diatomic molecules by a femtosecond laser pulse. The rotational excitation of molecular cation is ascribed to the dependence of the strong-field ionization probability on the orientation angle of the molecular axis with respect to the laser polarization direction. By extending the molecular strong-field approximation theory, we calculate the rovibrational state distribution of the ground electronic X 1Σ+ state of NO+ after the ionization of NO in the electronic ground X 2Π1/2 state. We also show that the extent of the rotational excitation of NO+ is enhanced by the stimulated impulsive Raman processes both in neutral NO and in NO+ cation. The resultant time evolution of the rotational wave packet of NO+ is in good agreement with the delay dependent NO2+ yield recorded experimentally in our previous pump–probe study.
{"title":"Rotational wave packet of NO+ created upon strong-field ionization of NO","authors":"Shinichi Fukahori, Hirokazu Hasegawa","doi":"10.1088/1361-6455/acf631","DOIUrl":"https://doi.org/10.1088/1361-6455/acf631","url":null,"abstract":"We theoretically investigate the creation of the rotational wave packet in molecular ions upon the strong-field ionization of diatomic molecules by a femtosecond laser pulse. The rotational excitation of molecular cation is ascribed to the dependence of the strong-field ionization probability on the orientation angle of the molecular axis with respect to the laser polarization direction. By extending the molecular strong-field approximation theory, we calculate the rovibrational state distribution of the ground electronic X 1Σ+ state of NO+ after the ionization of NO in the electronic ground X 2Π1/2 state. We also show that the extent of the rotational excitation of NO+ is enhanced by the stimulated impulsive Raman processes both in neutral NO and in NO+ cation. The resultant time evolution of the rotational wave packet of NO+ is in good agreement with the delay dependent NO2+ yield recorded experimentally in our previous pump–probe study.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46725934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The polarization of high harmonics generated from current-carrying state of nitric oxide molecules irradiated by linear laser fields is investigated by numerically solving the three-dimensional time-dependent Schrödinger equation. It is found that the ellipticity of high harmonics is obviously dependent on the polar angle between the driving laser polarization and molecular axis which is interpreted by the strong field approximation model. Moreover, our results also show that the helicity of near-threshold harmonics is opposite to that of plateau harmonics when the molecule is at any polar angle. To analyze this phenomenon, we simulate the dipole matrix element numerically. Finally, the attosecond pulses with opposite helicities can be obtained by synthesizing near-threshold and plateau harmonics. The ellipticity can be tuned by the alignment angle of molecules. Our work may provide a theoretical guiding and detection tool for the electron dynamics of molecular current-carrying states.
{"title":"Elliptical high-order harmonic generation from current-carrying orbitals of prealigned molecules","authors":"Kaiyi Wang, Yulin Ding, Feng Wang, Xiaofan Zhang, Qing Liao","doi":"10.1088/1361-6455/acf632","DOIUrl":"https://doi.org/10.1088/1361-6455/acf632","url":null,"abstract":"The polarization of high harmonics generated from current-carrying state of nitric oxide molecules irradiated by linear laser fields is investigated by numerically solving the three-dimensional time-dependent Schrödinger equation. It is found that the ellipticity of high harmonics is obviously dependent on the polar angle between the driving laser polarization and molecular axis which is interpreted by the strong field approximation model. Moreover, our results also show that the helicity of near-threshold harmonics is opposite to that of plateau harmonics when the molecule is at any polar angle. To analyze this phenomenon, we simulate the dipole matrix element numerically. Finally, the attosecond pulses with opposite helicities can be obtained by synthesizing near-threshold and plateau harmonics. The ellipticity can be tuned by the alignment angle of molecules. Our work may provide a theoretical guiding and detection tool for the electron dynamics of molecular current-carrying states.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48628812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The generation of highly elliptically polarized high-order harmonics (EPHHs) is indispensable for investigating chirality-sensitive light-matter interactions. Recently, high-order harmonic generation (HHG) with controllable ellipticity and helicity has attracted considerable attention. In this work, we theoretically demonstrate the possibility of generating broadband EPHHs with the same helicity from mixed gases in orthogonal two-color fields. There is a specific relative phase between the HHG from different gas components of the mixture. In addition, manipulation of the phase difference can be achieved by controlling the alignment angle of the molecule in mixed gases. It enables us to selectively enhance one helicity component of the high-order harmonics in a wide spectral range. This scheme paves a way for possibly generating elliptically polarized attosecond pulses.
{"title":"Controlling polarization of high-order harmonics generated in the mixed gases with orthogonal two-color laser fields","authors":"Chunyang Zhai, Yinmeng Wu, Xiang Li, Ke Zhang, Shuaijie Kang, Zheng Li, Fengyan Guo, Yingbin Li, Qingbin Tang, Benhai Yu","doi":"10.1088/1361-6455/acf630","DOIUrl":"https://doi.org/10.1088/1361-6455/acf630","url":null,"abstract":"The generation of highly elliptically polarized high-order harmonics (EPHHs) is indispensable for investigating chirality-sensitive light-matter interactions. Recently, high-order harmonic generation (HHG) with controllable ellipticity and helicity has attracted considerable attention. In this work, we theoretically demonstrate the possibility of generating broadband EPHHs with the same helicity from mixed gases in orthogonal two-color fields. There is a specific relative phase between the HHG from different gas components of the mixture. In addition, manipulation of the phase difference can be achieved by controlling the alignment angle of the molecule in mixed gases. It enables us to selectively enhance one helicity component of the high-order harmonics in a wide spectral range. This scheme paves a way for possibly generating elliptically polarized attosecond pulses.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48692597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-30DOI: 10.1088/1361-6455/acf53f
J. Pain
The variations of exchange Slater integrals with respect to their order k are not well known. While direct Slater integrals Fk are positive and decreasing when the order increases, this is not stricto sensu the case for exchange integrals Gk . However, two inequalities were published by Racah in his seminal article ‘Theory of complex spectra. II’. In this article, we show that the technique used by Racah can be generalized, albeit with cumbersome calculations, to derive further relations, and provide two of them, involving respectively three and four exchange integrals. Such relations can prove useful to detect regularities in complex atomic spectra and classify energy levels.
{"title":"Inequalities for exchange Slater integrals","authors":"J. Pain","doi":"10.1088/1361-6455/acf53f","DOIUrl":"https://doi.org/10.1088/1361-6455/acf53f","url":null,"abstract":"The variations of exchange Slater integrals with respect to their order k are not well known. While direct Slater integrals Fk are positive and decreasing when the order increases, this is not stricto sensu the case for exchange integrals Gk . However, two inequalities were published by Racah in his seminal article ‘Theory of complex spectra. II’. In this article, we show that the technique used by Racah can be generalized, albeit with cumbersome calculations, to derive further relations, and provide two of them, involving respectively three and four exchange integrals. Such relations can prove useful to detect regularities in complex atomic spectra and classify energy levels.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46359500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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