Annals of Physics最新文献

英文中文

Generating QES potentials supporting zero energy normalizable states for an extended class of truncated Calogero Sutherland model 为一类扩展的截断卡洛吉罗-萨瑟兰模型生成支持零能量可归一化状态的 QES 势

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-15 DOI: 10.1016/j.aop.2024.169822

Satish Yadav , Sudhanshu Shekhar , Bijan Bagchi , Bhabani Prasad Mandal

Motivated by recent interest in the search for generating potentials for which the underlying Schrödinger equation is solvable, we report in the recent work several situations when a zero-energy state becomes bound depending on certain restrictions on the coupling constants that define the potential. In this regard, we present evidence of the existence of regular zero-energy normalizable solutions for a system of quasi-exactly solvable (QES) potentials that correspond to the rationally extended many-body truncated Calogero–Sutherland (TCS) model. Our procedure is based upon the use of the standard potential group approach with an underlying

s o (2, 1)

structure that utilizes a point canonical transformation with three distinct types of potentials emerging having the same eigenvalues while their common properties are subjected to the evaluation of the relevant wave functions. These cases are treated individually by suitably restricting the coupling parameters.

最近，人们热衷于寻找底层薛定谔方程可解的势，受此激励，我们在最近的工作中报告了几种情况，即零能态根据定义势的耦合常数的某些限制而变得受约束。在这方面，我们提出了证据，证明准精确可解（QES）势系统存在有规则的零能可归一化解，该系统对应于合理扩展的多体截断卡洛吉罗-萨瑟兰（TCS）模型。我们的程序基于使用标准势组方法，其基本结构为 so(2,1)，利用点规范变换，出现了三种具有相同特征值的不同类型势，而它们的共同特性则受制于相关波函数的评估。通过适当限制耦合参数，可以单独处理这些情况。

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引用次数: 0

Self-dual compact gauged baby skyrmions in a continuous medium 连续介质中的自双紧凑测量婴儿天体

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-11 DOI: 10.1016/j.aop.2024.169820

C.A.I. Florián, Rodolfo Casana, André C. Santos

We investigate the existence of self-dual configurations in the restricted gauged baby Skyrme model enlarged with a

Z_{2}

–symmetry, which introduces a real scalar field. For such a purpose, we implement the Bogomol’nyi procedure that provides a lower bound for the energy and the respective self-dual equations whose solutions saturate such a bound. Aiming to solve the self-dual equations, we specifically focused on a class of topological structures called compacton. We obtain the corresponding numerical solutions within two distinct scenarios, each defined by a scalar field, allowing us to describe different magnetic media. Finally, we analyze how the compacton profiles change when immersed in each medium.

我们研究了在引入实标量场的Z2对称放大的受限测量婴孩斯凯尔姆模型中自双构型的存在。为此，我们采用了博戈莫尔尼（Bogomol'nyi）程序，该程序提供了能量下限和相应的自偶方程，这些方程的解使能量下限达到饱和。为了求解自偶方程，我们特别关注一类被称为紧凑子的拓扑结构。我们在两种不同的情况下获得了相应的数值解，每种情况都由一个标量场定义，允许我们描述不同的磁介质。最后，我们分析了紧凑子在浸入每种介质时的剖面变化。

引用次数: 0

Time-dependent Aharonov-Bohm type topological effects on dipoles 偶极子上随时间变化的阿哈诺夫-玻姆型拓扑效应

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-11 DOI: 10.1016/j.aop.2024.169823

H.O. Cildiroglu

Exploring the time-dependent characteristics of AB-type effects holds significant importance in contemporary physics and its practical applications. Here, we delve into the investigation of time-dependent topological effects emerging in AB-type experimental setups. We first analyse the topological effects on magnetic dipoles moving in closed trajectories around the time-varying magnetic field source solenoid, then on electrical dipoles around a time-varying electric field source in 2+1 dimensions without any approximation. Last, we discuss the characteristics of the topological effects by considering the identity and dualities between phases from an integrated perspective.

探索 AB 型效应的时间相关特性在当代物理学及其实际应用中具有重要意义。在此，我们将深入研究 AB 型实验装置中出现的随时间变化的拓扑效应。我们首先分析了围绕时变磁场源螺线管以封闭轨迹运动的磁偶极子的拓扑效应，然后分析了在 2+1 维中围绕时变电场源运动的电偶极子的拓扑效应。最后，我们从综合角度考虑了相间的同一性和对偶性，讨论了拓扑效应的特征。

引用次数: 0

Dynamical maps for accelerating detectors 用于加速探测器的动态地图

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-11 DOI: 10.1016/j.aop.2024.169821

Shalin Jose, Anil Shaji

We study the open quantum dynamics using the language of dynamical maps of a two-level particle detector that starts accelerating through Minkowski vacuum weakly coupled to a massless scalar field. We consider a detector with non-zero size and study its time evolution for the case where it is initially in inertial motion and subsequently a constant acceleration is switched on for a finite time. We study the dynamical maps that describe the evolution of such a system and show that the dynamics is not completely positive (NCP). The inertial motion prior to the acceleration can entangle the detector and field leading to the NCP dynamics. We examine the nature of the open dynamics during the accelerated phase as a function of the duration of prior inertial motion and the magnitude of the acceleration.

我们用一个两级粒子探测器的动力学映射语言来研究开放量子动力学，该探测器开始加速通过与无质量标量场弱耦合的闵科夫斯基真空。我们考虑了一个尺寸不为零的探测器，并研究了它最初处于惯性运动、随后在有限时间内开启恒定加速度的时间演化情况。我们研究了描述这种系统演化的动力学映射，结果表明动力学并非完全正向（NCP）。加速之前的惯性运动会使探测器和场纠缠在一起，从而导致 NCP 动力学。我们研究了加速阶段开放动力学的性质，它是之前惯性运动持续时间和加速度大小的函数。

引用次数: 0

Self-resonance during preheating: The case of α-attractor models 预热过程中的自共振α-吸引器模型的情况

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-09 DOI: 10.1016/j.aop.2024.169824

Daniel del-Corral

In this paper, for the first time, we obtain a new class of solutions for the Hill-type differential equations, which emerge in the preheating self-resonance phase of the expanding Universe. We study, in particular, the class of symmetric and asymmetric scalar field potentials coming from the so-called

α

-attractor models of the early Universe cosmology. By making a series expansion of the potential and employing perturbative techniques we reformulate the Mukhanov–Sasaki equation, which captures the dynamics of the curvature perturbation in these models, into a Hill equation. This last includes higher-order terms that were never solved in the literature. Namely, those coming from the cubic and quartic contributions of the scalar field potential. Then, we derive the expressions for the Floquet exponents of the Mukhanov–Sasaki variable. Our analytical results are then compared with numerical computations, showing a good agreement and thus making this method valuable for obtaining theoretical predictions with new observational applications in the contexts of Primordial Black Holes and Scalar-Induced Gravitational Waves.

在本文中，我们首次获得了希尔型微分方程的一类新解，它们出现在宇宙膨胀的预热自共振阶段。我们特别研究了对称和非对称标量场势，它们来自早期宇宙学中所谓的α-吸引子模型。通过对势能进行数列展开并运用微扰技术，我们将捕捉这些模型中曲率扰动动态的穆哈诺夫-萨崎方程重新表述为希尔方程。最后一个方程包括了文献中从未解决的高阶项。即来自标量场势的三次方和四次方贡献的项。然后，我们推导出穆哈诺夫-萨崎变量的 Floquet 指数表达式。我们将分析结果与数值计算结果进行了比较，结果表明两者吻合得很好，从而使这种方法在原始黑洞和标量诱发引力波方面的理论预测和新的观测应用变得非常有价值。

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引用次数: 0

Phase-space path integral approach to the kinetics of black hole phase transition in massive gravity 大质量引力中黑洞相变动力学的相空间路径积分法

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-05 DOI: 10.1016/j.aop.2024.169819

C. Fairoos , T.K. Safir , Deepak Mishra

The dynamics of the state-switching process of black holes in dRGT massive gravity theory is presented using free energy landscape and stochastic Langevin equations. The free energy landscape is constructed using the Gibbons-Hawking path integral method. The black hole phases are characterized by taking its horizon radius as the order parameter. The free energy landscape provides three black hole phases: small, intermediate, and large. The small and large black holes are thermodynamically stable whereas the intermediate one is unstable. The Martin–Siggia–Rose–Janssen–de Dominicis (MSRJD) functional describes the stochastic dynamics of black hole phase transition. The Hamiltonian flow lines are obtained from the MSRJD functional and are used to analyze the stability and the phase transition properties. The dominant kinetic path between different phases is discussed for various configurations of the free energy landscape. We discuss the effect of black hole charge and the graviton mass on the critical behavior of black hole phase transition.

利用自由能谱和随机朗格文方程介绍了dRGT大质量引力理论中黑洞状态切换过程的动力学。自由能谱是用吉本斯-霍金路径积分法构建的。以黑洞的视界半径作为阶次参数来描述黑洞相。自由能景观提供了三种黑洞阶段：小型、中型和大型。小黑洞和大黑洞在热力学上是稳定的，而中间黑洞是不稳定的。Martin-Siggia-Rose-Janssen-de Dominicis（MSRJD）函数描述了黑洞相变的随机动力学。从 MSRJD 函数得到的哈密顿流线用于分析稳定性和相变特性。针对自由能谱的各种配置，讨论了不同相位之间的主要动力学路径。我们讨论了黑洞电荷和引力子质量对黑洞相变临界行为的影响。

引用次数: 0

Classification of the non-null electrovacuum solution of Einstein–Maxwell equations with three-parameter abelian group of motions 具有三参数无边运动群的爱因斯坦-麦克斯韦方程非零电真空解的分类

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-05 DOI: 10.1016/j.aop.2024.169816

V.V. Obukhov

The classification of the Stackel spaces of the electrovacuum of the type (3.0) has been done. These spaces are invariant under the action of the three-parameter abelian group of motions and belong to the first type Bianchi spaces. In the case of a non-zero cosmological term, the metrics and potentials contain solutions of a nonlinear ordinary differential equation of the second order. When the cosmological term equals zero, the metrics and the components of the electromagnetic field tensor are expressed through elementary functions. Thus the classification of the electrovacuum stackel spaces of all types is completed and complete list of these spaces is constructed.

我们已经完成了 (3.0) 型电真空 Stackel 空间的分类。这些空间在三参数无性运动群的作用下是不变的，属于第一类比安奇空间。在宇宙学项不为零的情况下，度量和势包含一个二阶非线性常微分方程的解。当宇宙学项等于零时，度量和电磁场张量的分量通过初等函数表达。因此，我们完成了所有类型的电真空堆栈空间的分类，并构建了这些空间的完整列表。

引用次数: 0

Curvature form of Raychaudhuri equation and its consequences: A geometric approach 雷乔杜里方程的曲率形式及其后果：几何方法

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-10-01 DOI: 10.1016/j.aop.2024.169818

Madhukrishna Chakraborty, Subenoy Chakraborty

The paper aims at deriving a curvature form of the famous Raychaudhuri equation (RE) and the associated criteria for focusing of a hyper-surface orthogonal congruence of time-like geodesic. Moreover, the paper identifies a transformation of variable related to the metric scalar of the hyper-surface which converts the first order RE into a second order differential equation that resembles an equation of a Harmonic oscillator and also gives a first integral that yields the analytic solution of the RE and Lagrangian of the dynamical system representing the congruence.

本文旨在推导著名的雷乔杜里方程（Raychaudhuri equation，RE）的曲率形式，以及类时间测地线的超曲面正交全等聚焦的相关标准。此外，论文还确定了一种与超曲面度量标量相关的变量变换，它将一阶 RE 转换为类似谐振子方程的二阶微分方程，并给出了一阶积分，从而得到 RE 的解析解和代表全等的动力学系统的拉格朗日。

引用次数: 0

Kinetic theory of tilted Dirac cone materials 倾斜狄拉克锥材料的动力学理论

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-09-30 DOI: 10.1016/j.aop.2024.169817

A. Moradpouri , Mahdi Torabian , S.A. Jafari

We formulate the Boltzmann kinetic equations for interacting electrons with tilted Dirac cones in two space dimensions characterized by a tilt parameter

0 \leq ζ < 1

. By solving the linearized Boltzmann equation, we find that the broadening of the Drude pole is enhanced by

κ (ζ) \times {(1 - ζ^{2})}^{- 1 / 2}

, where the

κ

is interaction-induced enhancement factor. The intensity of the Drude pole is also anisotropically enhanced by

{(1 - ζ^{2})}^{- 1}

. The ubiquitous “redshift” factors

{(1 - ζ^{2})}^{1 / 2}

can be regarded as a manifestation of an underlying spacetime structure in such solids. The additional broadening

κ

that arises from the interactions cannot be obtained from a simple coordinate change and are more pronounced for electrons in a

ζ

-deformed Minkowski spacetime of tilted Dirac fermions.

通过求解线性化的玻尔兹曼方程，我们发现德鲁德极的展宽增强了κ(ζ)×(1-ζ2)-1/2，其中κ是相互作用诱导的增强因子。德鲁德极的强度也会各向异性地增强 (1-ζ2)-1。无处不在的 "红移 "因子（1-ζ2）1/2 可被视为此类固体中潜在时空结构的一种表现形式。相互作用产生的额外拓宽κ无法从简单的坐标变化中获得，对于倾斜狄拉克费米子的ζ变形闵科夫斯基时空中的电子而言，这种拓宽更为明显。

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引用次数: 0

Non-commutative correction of ideal gas thermodynamics 理想气体热力学的非交换修正

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics

Pub Date : 2024-09-28 DOI: 10.1016/j.aop.2024.169815

Diganta Parai, Suman Kumar Panja

In this study, we investigate the thermodynamics of a relativistic ideal gas within the context of

κ

-deformed space–time and Rainbow gravity background. To achieve this, we construct a modified partition function by considering a deformed Hamiltonian and incorporating corrections based on the time-invariant phase-space volume. We explore the implications of our model on the modified black body radiation spectrum and the modified Debye theory of specific heat in

κ

-deformed space–time and Rainbow gravity background.

在本研究中，我们研究了在κ变形时空和彩虹引力背景下相对论理想气体的热力学。为此，我们通过考虑变形哈密顿并结合基于时不变相空间体积的修正，构建了修正的分割函数。我们探讨了我们的模型对κ变形时空和彩虹引力背景下修正的黑体辐射谱和修正的德拜比热理论的影响。

引用次数: 0

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