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The effect of Hawking radiation on tripartite entropic uncertainty and tripartite Quantum coherence in Schwarzschild spacetime 霍金辐射对史瓦西时空中三方熵不确定性和三方量子相干性的影响
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-31 DOI: 10.1016/j.aop.2025.170269
Wajid Joyia , Asif Ilyas , Mahtab A. Khan , Nahaa Eid Alsubaie , Amaria Javed
This study investigates the effects of Hawking radiation on tripartite quantum coherence and tripartite entropy uncertainty measurement in the context of a Schwarzschild black hole. Two main cases are examined, each encompassing three distinct scenarios: one involving only accessible modes (particles outside the event horizon), another involving only inaccessible modes (antiparticles inside the event horizon), and a third involving both accessible and inaccessible modes. Results show that in scenarios with accessible modes, tripartite quantum coherence decreases monotonically with increasing Hawking temperature, while tripartite entropy uncertainty measurement rises. Conversely, when inaccessible modes are present, Hawking radiation generates quantum coherence and reduces entropy uncertainty measurement. This suggests that quantum coherence and measurement uncertainty can be transmitted or distributed across different regions of spacetime, even across the event horizon of a black hole, indicating an interconnection of quantum properties despite the horizon’s role as a boundary.
本文研究了在史瓦西黑洞背景下,霍金辐射对三方量子相干性和三方熵不确定度测量的影响。研究了两种主要情况,每种情况都包含三种不同的情况:一种只涉及可达模式(视界外的粒子),另一种只涉及不可达模式(视界内的反粒子),第三种涉及可达模式和不可达模式。结果表明,在可达模式下,三方量子相干性随霍金温度的升高而单调降低,而三方熵不确定度测量值则升高。相反,当不可接近的模式存在时,霍金辐射产生量子相干性并减少熵不确定性测量。这表明,量子相干性和测量不确定性可以在时空的不同区域之间传输或分布,甚至可以跨越黑洞的事件视界,这表明尽管视界的作用是作为边界,但量子特性是相互联系的。
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引用次数: 0
Quantum phase sensitivity with generalized coherent states based on deformed su(1,1) and Heisenberg algebras 基于变形su(1,1)和Heisenberg代数的广义相干态量子相位灵敏度
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-31 DOI: 10.1016/j.aop.2025.170276
Nour-Eddine Abouelkhir , Abdallah Slaoui , Rachid Ahl Laamara
We investigate the phase sensitivity of a Mach–Zehnder interferometer using a special class of generalized coherent states constructed from generalized Heisenberg and deformed su(1,1) algebras. These states, derived from a perturbed harmonic oscillator with a four-parameter deformed spectrum, provide enhanced tunability and nonclassical features. The quantum Fisher information and its associated quantum Cramér–Rao bound are computed to define the fundamental precision limits in phase estimation. We analyze the phase sensitivity under three realistic detection methods: difference intensity detection, single-mode intensity detection, and balanced homodyne detection. The performance of each method is compared with the quantum Cramér–Rao bound to evaluate their optimality. Our results demonstrate that, for suitable parameter regimes, these generalized coherent states enable phase sensitivities approaching the quantum limit. This offers a flexible framework for precision quantum metrology and potential applications in quantum-enhanced sensing.
利用由广义Heisenberg代数和变形su(1,1)代数构造的一类特殊的广义相干态,研究了Mach-Zehnder干涉仪的相位灵敏度。这些状态来源于一个具有四参数变形谱的扰动谐振子,提供了增强的可调性和非经典特征。计算了量子Fisher信息及其相关的量子cram - rao界,定义了相位估计的基本精度极限。分析了差强度检测、单模强度检测和平衡差差检测三种实际检测方法下的相敏性。将每种方法的性能与量子cram - rao界进行比较,以评价其最优性。我们的结果表明,在合适的参数体系下,这些广义相干态使相灵敏度接近量子极限。这为精密量子计量和量子增强传感的潜在应用提供了一个灵活的框架。
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引用次数: 0
A conformal anomaly from the Fermi velocity renormalization in graphene and Dirac semi-metals 石墨烯和狄拉克半金属中费米速度重整化的共形异常
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-30 DOI: 10.1016/j.aop.2025.170267
Matteo Baggioli , Maxim N. Chernodub , Karl Landsteiner , Alessandro Principi , María A.H. Vozmediano
The dynamics of Dirac semimetals is modeled at low energies by the massless Dirac Hamiltonian with the Fermi velocity replacing the velocity of light. The classical action is scale invariant. In 3D materials, Coulomb interactions induce a conformal anomaly associated to the charge renormalization already known in quantum field theory. In this work, we describe a new conformal anomaly induced by the running of the Fermi velocity that applies to Dirac semimetals in two and three dimensions. The case of graphene is particularly interesting. We analyze the anomaly and explore its thermodynamic and hydrodynamic consequences. The anomaly changes the thermodynamic equation of state of the systems and modifies the propagation speed of hydrodynamic sound waves experimentally accessible.
用费米速度代替光速的无质量狄拉克哈密顿量来模拟低能下狄拉克半金属的动力学。经典作用是尺度不变的。在三维材料中,库仑相互作用诱导与量子场论中已知的电荷重整化相关的共形异常。在这项工作中,我们描述了一个新的共形异常引起的运行费米速度适用于狄拉克半金属在二维和三维。石墨烯的例子特别有趣。我们分析了异常,并探讨了其热力学和水动力后果。该异常改变了系统的热力学状态方程,并改变了实验可及的水动力声波的传播速度。
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引用次数: 0
Fractional exponents and topological signatures of exceptional points in non-Hermitian systems 非厄米系统中异常点的分数指数和拓扑特征
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-29 DOI: 10.1016/j.aop.2025.170270
Chia-Yi Ju , Junting He , Guang-Yin Chen
Exceptional points (EPs) in non-Hermitian systems exhibit intriguing properties, particularly in their eigenvalue perturbative expansions. Unlike standard perturbation theory, where perturbed eigenvalues can be expanded in a power series of the perturbation parameter, at an Nth-order EP, the perturbed eigenvalues are generally expanded in Nth-root of the perturbation parameter, indicating the nonanalytical nature of EPs. Since studies have suggested that the exponent of the perturbation parameter in the first-order term of the eigenvalue perturbation is related to the topological properties of the Hilbert space bundle, understanding this exponent is important. Therefore, in this study, we first demonstrate that the leading order in the perturbation correction is related to the topology of the Hilbert space bundle. We then show that the perturbative behavior, and hence the topology, not only depends on the order of the EP but can also be affected by the rest of the system. We show that the exponent of the expansion parameters in the leading order of eigenvalue expansions at an Nth-order EP can be a fractional number differs from 1/N under special circumstances. These results may contribute to identifying the topology of the Hilbert space bundle, offer a new perspective to the formulation of perturbation theory around EPs, and provide further insights into non-Hermitian quantum systems.
非厄米系统中的异常点(EPs)表现出有趣的性质,特别是在它们的特征值微扰展开中。与标准摄动理论不同,在n阶EP中,摄动特征值可以在摄动参数的幂级数中展开,而在n阶EP中,摄动特征值通常在摄动参数的n次方根中展开,表明EP的非解析性。由于研究表明特征值扰动一阶项的扰动参数的指数与希尔伯特空间束的拓扑性质有关,因此理解该指数是很重要的。因此,在本研究中,我们首次证明了微扰修正中的阶数与Hilbert空间束的拓扑结构有关。然后,我们证明了微扰行为,以及拓扑结构,不仅取决于EP的顺序,而且还会受到系统其余部分的影响。在特殊情况下,我们证明了N阶EP上特征值展开的首阶展开参数的指数可以是一个不同于1/N的分数。这些结果可能有助于确定希尔伯特空间束的拓扑结构,为围绕EPs的微扰理论的表述提供新的视角,并为非厄米量子系统提供进一步的见解。
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引用次数: 0
Critical points and their cosmological interpretations for some f(Q) gravity theory models 某些f(Q)引力理论模型的临界点及其宇宙学解释
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-28 DOI: 10.1016/j.aop.2025.170272
Subhajit Pal , Atanu Mukherjee , Ritabrata Biswas , Farook Rahaman
In f(Q) theory of gravity, gravitational effect arises from non-metricity which controls how measurements of time and distance evolve over space–time. If a clock or a ruler is moved around in a space–time with nonzero Q, it would change the size or the ticking rate even if curvature and torsion are zero. This change comes purely from how the metric varies, not from bending (curvature) or twisting (torsion). Four models of f(Q) theory of gravity are chosen
: f(1)(Q)=Q+mQn, f(2)(Q)=QeλQ, f(3)(Q)=Q+αQ2+vQ2logQ and f(4)(Q)=Q+nQ0QλlogλQ0Q.
Equation of continuity and Friedmann equations are modified for these theories. Phase portraits are drawn with proper marking towards the fixed points. Physical interpretation of every such critical points along with center manifold analysis is pursued. Cosmological perspectives to obtain such critical points are presented for each model.
在f(Q)引力理论中,引力效应产生于非度规性,它控制着时间和距离的测量如何在时空中演化。如果一个时钟或尺子在一个Q不为零的时空中移动,即使曲率和扭转为零,它也会改变大小或滴答率。这种变化纯粹来自度规的变化,而不是来自弯曲(曲率)或扭转(扭转)。选取了f(Q)引力理论的四种模型:f(1)(Q)=Q+mQn, f(2)(Q)=Q - λQ, f(3)(Q)=Q+αQ2+vQ2logQ和f(4)(Q)=Q+ nq0q - λlogλ q0q。对连续性方程和弗里德曼方程进行了修正。对固定点进行适当的标记,绘制相位肖像。每一个这样的临界点的物理解释以及中心流形分析被追求。每个模型都给出了获得这些临界点的宇宙学观点。
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引用次数: 0
Efficiency of the superconducting diode effect of pair-density-wave states in two-dimensional d-wave altermagnets 二维d波交替磁体中对密度波态超导二极管效应的效率
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-24 DOI: 10.1016/j.aop.2025.170273
Igor de M. Froldi, Hermann Freire
We systematically study the efficiency of the intrinsic superconducting diode effect of several pair-density-wave states that can emerge in two-dimensional d-wave metallic altermagnets. To this end, we investigate several scenarios using an effective minimal microscopic model and Ginzburg–Landau analysis in order to derive the corresponding pairing phase diagrams. In addition, we examine also whether the presence of a Rashba spin–orbit coupling and an applied external magnetic field are beneficial to this effect in these systems. As a consequence, our results add further support to the fact that altermagnetic materials indeed provide a good platform for the pursuit of finite-momentum superconductivity, which can lead to an optimization of the diode efficiency in some physically interesting situations. The latter phenomenon has been recently proposed to be key in improving the applicability of new energy-efficient quantum electronic devices.
我们系统地研究了二维d波金属互磁体中可能出现的几种对密度波态的本征超导二极管效应的效率。为此,我们使用有效最小微观模型和金兹堡-朗道分析研究了几种情况,以得出相应的配对相图。此外,我们还研究了Rashba自旋轨道耦合和外加磁场的存在是否有利于这些系统的这种效应。因此,我们的结果进一步支持了这样一个事实,即电磁材料确实为追求有限动量超导性提供了一个很好的平台,这可以在一些物理上有趣的情况下导致二极管效率的优化。后一种现象最近被认为是提高新型节能量子电子器件适用性的关键。
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引用次数: 0
Cosmic reverberations on a constrained f(Q,T)-model of the Universe 宇宙的受限f(Q,T)模型上的宇宙混响
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-23 DOI: 10.1016/j.aop.2025.170274
Akanksha Singh , Shaily , J.K. Singh , Ertan Güdekli
In this paper, we construct an isotropic cosmological model in the f(Q,T) theory of gravity in the frame of a flat FLRW spacetime, with Q the non-metricity tensor and T the trace of the energy–momentum tensor. The gravity function is taken to be a quadratic equation, f(Q,T)=ζQ2+γT, where ζ<0 and γ are the arbitrary constants. We constrain the model parameters α arising while solving the deceleration parameter q as an integration constant together with the present value of the Hubble parameter H0 using the Hubble datasets (OHD), the Pantheon of 1048 data points, and the joint datasets (OHD + Pantheon). The universe model transitions from an early deceleration state to an acceleration in late times. This model also provides the ekpyrotic phase of the universe on the redshift z>12.32. In this model, the Big Bang is described as a collision of branes, and thus, the Big Bang is not the beginning of time. Before the Big Bang, there is an ekpyrotic phase with the equation of state ω>>1. In late times, the undeviating Hubble measurements reduce the H0 tension in the reconstructed f(Q,T) function. Additionally, we study various physical parameters of the model. Finally, our model describes a quintessence dark energy model at later times.
在平坦FLRW时空框架下,我们在f(Q,T)引力理论中构造了一个各向同性宇宙学模型,其中Q为非度规张量,T为能量动量张量的轨迹。重力函数取为二次方程,f(Q,T)=ζQ2+γT,其中ζ<;0和γ为任意常数。我们使用哈勃数据集(OHD)、1048个数据点的Pantheon和联合数据集(OHD + Pantheon),将求解减速参数q时产生的模型参数α与哈勃参数H0的当前值一起约束为积分常数。宇宙模型从早期的减速状态过渡到后期的加速状态。该模型还提供了宇宙在红移z>;12.32上的热释相。在这个模型中,大爆炸被描述为膜的碰撞,因此,大爆炸不是时间的开始。在大爆炸之前,存在一个状态方程为ω>;>;1的热释相。在后期,不变的哈勃测量降低了重构f(Q,T)函数中的H0张力。此外,我们还研究了模型的各种物理参数。最后,我们的模型描述了后来一个典型的暗能量模型。
{"title":"Cosmic reverberations on a constrained f(Q,T)-model of the Universe","authors":"Akanksha Singh ,&nbsp;Shaily ,&nbsp;J.K. Singh ,&nbsp;Ertan Güdekli","doi":"10.1016/j.aop.2025.170274","DOIUrl":"10.1016/j.aop.2025.170274","url":null,"abstract":"<div><div>In this paper, we construct an isotropic cosmological model in the <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> theory of gravity in the frame of a flat FLRW spacetime, with <span><math><mi>Q</mi></math></span> the non-metricity tensor and <span><math><mi>T</mi></math></span> the trace of the energy–momentum tensor. The gravity function is taken to be a quadratic equation, <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow><mo>=</mo><mi>ζ</mi><msup><mrow><mi>Q</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mi>γ</mi><mi>T</mi></mrow></math></span>, where <span><math><mrow><mi>ζ</mi><mo>&lt;</mo><mn>0</mn></mrow></math></span> and <span><math><mi>γ</mi></math></span> are the arbitrary constants. We constrain the model parameters <span><math><mi>α</mi></math></span> arising while solving the deceleration parameter <span><math><mi>q</mi></math></span> as an integration constant together with the present value of the Hubble parameter <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> using the Hubble datasets (OHD), the <span><math><mrow><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi></mrow></math></span> of 1048 data points, and the joint datasets (OHD + <span><math><mrow><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi></mrow></math></span>). The universe model transitions from an early deceleration state to an acceleration in late times. This model also provides the ekpyrotic phase of the universe on the redshift <span><math><mrow><mi>z</mi><mo>&gt;</mo><mn>12</mn><mo>.</mo><mn>32</mn></mrow></math></span>. In this model, the Big Bang is described as a collision of branes, and thus, the Big Bang is not the beginning of time. Before the Big Bang, there is an ekpyrotic phase with the equation of state <span><math><mrow><mi>ω</mi><mo>&gt;</mo><mo>&gt;</mo><mn>1</mn></mrow></math></span>. In late times, the undeviating Hubble measurements reduce the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> tension in the reconstructed <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> function. Additionally, we study various physical parameters of the model. Finally, our model describes a quintessence dark energy model at later times.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"483 ","pages":"Article 170274"},"PeriodicalIF":3.0,"publicationDate":"2025-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145413807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Spectroscopy of charmonium-like mesons, heavy-light mesons with charm, AdS/QCD, and configurational entropy 类恰莫尼介子光谱学、重-轻粲介子光谱学、AdS/QCD光谱学和构型熵
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-23 DOI: 10.1016/j.aop.2025.170264
A.E. Bernardini , W. de Paula , R. da Rocha
Heavy-light-flavor meson resonances with charm, in the D0 and D families, and charmonium-like states, in the ηc and χc1 families, are explored and discussed in the AdS/QCD model with four quark flavors. The differential configurational entropy is computed and analyzed for these four charmed meson families, also combining 4-flavor AdS/QCD to experimental data for the D0, D, ηc, and χc1 meson families. It makes it possible to predict the mass spectrum of unexplored heavier charmed meson resonances and to identify further charmed meson states reported in PDG.
在具有四种夸克味的AdS/QCD模型中,我们探索并讨论了D0和D *族中具有粲态的重-轻味介子共振,以及ηc和χc1族中的类粲态。计算并分析了这4个粲介子族的微分构型熵,并将4-flavor AdS/QCD与D0、D *、ηc和χc1介子族的实验数据相结合。这使得预测未探测到的更重的粲介子共振的质谱和识别PDG中报道的更多的粲介子态成为可能。
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引用次数: 0
Observational constraints on Chaplygin gas models in non-minimally coupled power law f(Q) gravity with quasars 类星体非最小耦合幂律f(Q)引力条件下Chaplygin气体模型的观测约束
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-21 DOI: 10.1016/j.aop.2025.170266
Nakul Aggarwal , Ali Pourmand , Fatimah Shojai , Harish Parthasarathy
In the framework of f(Q) gravity, where gravity emerges from non-metricity Q, we explore the cosmological implications of its non-minimal coupling to matter. Inspired by the recent success of Chaplygin gas models in explaining dark energy, we consider a background fluid composed of baryonic matter, radiation, and a family of Chaplygin gas variants namely Generalized Chaplygin Gas (GCG), Modified Chaplygin Gas (MCG), and Variable Chaplygin Gas (VCG). We constrain these models with three recent observational datasets: Observational Hubble Data (OHD), Baryonic Acoustic Oscillation (BAO) measurements, and Quasi-Stellar Objects (QSO) data. For the QSO dataset, we propose an analytical expression for errors in comoving distance to circumvent the reliance on Monte Carlo simulations. Using kinematic diagnostics such as the deceleration and jerk parameters and Om diagnostic, we assess deviations of the proposed models from ΛCDM. Our joint analysis of the three datasets reveals that the transition redshift from a decelerated to an accelerated expansion of the universe for the GCG, MCG and VCG models is 0.6200.017+0.018, 0.5370.017+0.017 and 0.4700.012+0.012 respectively, indicating a departure from ΛCDM.
在f(Q)引力的框架中,引力是从非度规性Q中产生的,我们探索了它与物质的非最小耦合的宇宙学含义。受最近Chaplygin气体模型在解释暗能量方面的成功启发,我们考虑了一种由重子物质、辐射和Chaplygin气体变体家族组成的背景流体,即广义Chaplygin气体(GCG)、修正Chaplygin气体(MCG)和可变Chaplygin气体(VCG)。我们用三个最近的观测数据集来约束这些模型:哈勃观测数据(OHD)、重子声学振荡(BAO)测量数据和准恒星天体(QSO)数据。对于QSO数据集,我们提出了移动距离误差的解析表达式,以避免对蒙特卡罗模拟的依赖。使用运动学诊断,如减速和猛跳参数和Om诊断,我们评估从ΛCDM提出的模型的偏差。我们对三个数据集的联合分析表明,GCG, MCG和VCG模型从宇宙减速膨胀到加速膨胀的过渡红移分别为0.620−0.017+0.018,0.537−0.017+0.017和0.470−0.012+0.012,表明偏离ΛCDM。
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引用次数: 0
Klein–Gordon equation within the real Hilbert space formalism 真实希尔伯特空间形式主义中的Klein-Gordon方程
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-10-21 DOI: 10.1016/j.aop.2025.170271
Cristiano Rosa , Sergio Giardino
Within this article one finds the statement of the Klein–Gordon problem within the real Hilbert space formalism (RHS) in terms of complex wave functions, and in terms of quaternionic wave functions as well. The complex formulation comprises hermitian and non-hermitian cases, while the quaternionic solutions additionally set in motion self-interacting particles. The non-hermitian cases comprise non-conservative processes, while the self-interaction physically implies the increase of the effective mass of the particle, an effect that cannot be reproduced using a complex wave function. The obtained autonomous particle solutions, as well as the Klein problem agree to the previously discovered self-interacting non-relativistic particle, and thus reinforce RHS as viable and consistent way to explore open problems in quantum mechanics. Also important, the negative energy problem that plagues the usual formalism is eliminated within this approach.
在这篇文章中,人们发现了真实希尔伯特空间形式主义(RHS)中关于复波函数和四元数波函数的Klein-Gordon问题的陈述。复公式包括厄米和非厄米情况,而四元数解另外设置运动的自相互作用粒子。非厄米情况包含非保守过程,而自相互作用在物理上意味着粒子有效质量的增加,这种效应不能用复波函数再现。所获得的自主粒子解,以及克莱因问题与先前发现的自相互作用的非相对论性粒子一致,从而加强了RHS作为探索量子力学开放问题的可行和一致的方法。同样重要的是,在这种方法中消除了困扰通常形式主义的负能量问题。
{"title":"Klein–Gordon equation within the real Hilbert space formalism","authors":"Cristiano Rosa ,&nbsp;Sergio Giardino","doi":"10.1016/j.aop.2025.170271","DOIUrl":"10.1016/j.aop.2025.170271","url":null,"abstract":"<div><div>Within this article one finds the statement of the Klein–Gordon problem within the real Hilbert space formalism (<span><math><mi>R</mi></math></span>HS) in terms of complex wave functions, and in terms of quaternionic wave functions as well. The complex formulation comprises hermitian and non-hermitian cases, while the quaternionic solutions additionally set in motion self-interacting particles. The non-hermitian cases comprise non-conservative processes, while the self-interaction physically implies the increase of the effective mass of the particle, an effect that cannot be reproduced using a complex wave function. The obtained autonomous particle solutions, as well as the Klein problem agree to the previously discovered self-interacting non-relativistic particle, and thus reinforce <span><math><mi>R</mi></math></span>HS as viable and consistent way to explore open problems in quantum mechanics. Also important, the negative energy problem that plagues the usual formalism is eliminated within this approach.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"483 ","pages":"Article 170271"},"PeriodicalIF":3.0,"publicationDate":"2025-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145413806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
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