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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
Annals of Physics Pub Date : 2024-10-15 DOI: 10.1016/j.aop.2024.169822
Satish Yadav , Sudhanshu Shekhar , Bijan Bagchi , Bhabani Prasad Mandal
{"title":"Generating QES potentials supporting zero energy normalizable states for an extended class of truncated Calogero Sutherland model","authors":"Satish Yadav ,&nbsp;Sudhanshu Shekhar ,&nbsp;Bijan Bagchi ,&nbsp;Bhabani Prasad Mandal","doi":"10.1016/j.aop.2024.169822","DOIUrl":"10.1016/j.aop.2024.169822","url":null,"abstract":"<div><div>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 <span><math><mrow><mi>s</mi><mi>o</mi><mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> 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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169822"},"PeriodicalIF":3.0,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532653","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
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
Annals of Physics Pub Date : 2024-10-11 DOI: 10.1016/j.aop.2024.169820
C.A.I. Florián, Rodolfo Casana, André C. Santos
{"title":"Self-dual compact gauged baby skyrmions in a continuous medium","authors":"C.A.I. Florián,&nbsp;Rodolfo Casana,&nbsp;André C. Santos","doi":"10.1016/j.aop.2024.169820","DOIUrl":"10.1016/j.aop.2024.169820","url":null,"abstract":"<div><div>We investigate the existence of self-dual configurations in the restricted gauged baby Skyrme model enlarged with a <span><math><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>–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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169820"},"PeriodicalIF":3.0,"publicationDate":"2024-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532651","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
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
Annals of Physics Pub Date : 2024-10-11 DOI: 10.1016/j.aop.2024.169823
H.O. Cildiroglu
{"title":"Time-dependent Aharonov-Bohm type topological effects on dipoles","authors":"H.O. Cildiroglu","doi":"10.1016/j.aop.2024.169823","DOIUrl":"10.1016/j.aop.2024.169823","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169823"},"PeriodicalIF":3.0,"publicationDate":"2024-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142445932","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
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
Annals of Physics Pub Date : 2024-10-11 DOI: 10.1016/j.aop.2024.169821
Shalin Jose, Anil Shaji
{"title":"Dynamical maps for accelerating detectors","authors":"Shalin Jose,&nbsp;Anil Shaji","doi":"10.1016/j.aop.2024.169821","DOIUrl":"10.1016/j.aop.2024.169821","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169821"},"PeriodicalIF":3.0,"publicationDate":"2024-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532652","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
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
Annals of Physics Pub Date : 2024-10-09 DOI: 10.1016/j.aop.2024.169824
Daniel del-Corral
{"title":"Self-resonance during preheating: The case of α-attractor models","authors":"Daniel del-Corral","doi":"10.1016/j.aop.2024.169824","DOIUrl":"10.1016/j.aop.2024.169824","url":null,"abstract":"<div><div>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 <span><math><mi>α</mi></math></span>-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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169824"},"PeriodicalIF":3.0,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142438066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Annals of Physics Pub Date : 2024-10-05 DOI: 10.1016/j.aop.2024.169819
C. Fairoos , T.K. Safir , Deepak Mishra
{"title":"Phase-space path integral approach to the kinetics of black hole phase transition in massive gravity","authors":"C. Fairoos ,&nbsp;T.K. Safir ,&nbsp;Deepak Mishra","doi":"10.1016/j.aop.2024.169819","DOIUrl":"10.1016/j.aop.2024.169819","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169819"},"PeriodicalIF":3.0,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425484","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
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
Annals of Physics Pub Date : 2024-10-05 DOI: 10.1016/j.aop.2024.169816
V.V. Obukhov
{"title":"Classification of the non-null electrovacuum solution of Einstein–Maxwell equations with three-parameter abelian group of motions","authors":"V.V. Obukhov","doi":"10.1016/j.aop.2024.169816","DOIUrl":"10.1016/j.aop.2024.169816","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169816"},"PeriodicalIF":3.0,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425483","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
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
Annals of Physics Pub Date : 2024-10-01 DOI: 10.1016/j.aop.2024.169818
Madhukrishna Chakraborty, Subenoy Chakraborty
{"title":"Curvature form of Raychaudhuri equation and its consequences: A geometric approach","authors":"Madhukrishna Chakraborty,&nbsp;Subenoy Chakraborty","doi":"10.1016/j.aop.2024.169818","DOIUrl":"10.1016/j.aop.2024.169818","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169818"},"PeriodicalIF":3.0,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425481","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
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
Annals of Physics Pub Date : 2024-09-30 DOI: 10.1016/j.aop.2024.169817
A. Moradpouri , Mahdi Torabian , S.A. Jafari
{"title":"Kinetic theory of tilted Dirac cone materials","authors":"A. Moradpouri ,&nbsp;Mahdi Torabian ,&nbsp;S.A. Jafari","doi":"10.1016/j.aop.2024.169817","DOIUrl":"10.1016/j.aop.2024.169817","url":null,"abstract":"<div><div>We formulate the Boltzmann kinetic equations for interacting electrons with tilted Dirac cones in two space dimensions characterized by a tilt parameter <span><math><mrow><mn>0</mn><mo>≤</mo><mi>ζ</mi><mo>&lt;</mo><mn>1</mn></mrow></math></span>. By solving the linearized Boltzmann equation, we find that the broadening of the Drude pole is enhanced by <span><math><mrow><mi>κ</mi><mrow><mo>(</mo><mi>ζ</mi><mo>)</mo></mrow><mo>×</mo><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>−</mo><msup><mrow><mi>ζ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup></mrow></math></span>, where the <span><math><mi>κ</mi></math></span> is interaction-induced enhancement factor. The intensity of the Drude pole is also anisotropically enhanced by <span><math><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>−</mo><msup><mrow><mi>ζ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>. The ubiquitous “redshift” factors <span><math><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>−</mo><msup><mrow><mi>ζ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup></math></span> can be regarded as a manifestation of an underlying spacetime structure in such solids. The additional broadening <span><math><mi>κ</mi></math></span> that arises from the interactions cannot be obtained from a simple coordinate change and are more pronounced for electrons in a <span><math><mi>ζ</mi></math></span>-deformed Minkowski spacetime of tilted Dirac fermions.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169817"},"PeriodicalIF":3.0,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425029","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
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
Annals of Physics Pub Date : 2024-09-28 DOI: 10.1016/j.aop.2024.169815
Diganta Parai, Suman Kumar Panja
{"title":"Non-commutative correction of ideal gas thermodynamics","authors":"Diganta Parai,&nbsp;Suman Kumar Panja","doi":"10.1016/j.aop.2024.169815","DOIUrl":"10.1016/j.aop.2024.169815","url":null,"abstract":"<div><div>In this study, we investigate the thermodynamics of a relativistic ideal gas within the context of <span><math><mi>κ</mi></math></span>-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 <span><math><mi>κ</mi></math></span>-deformed space–time and Rainbow gravity background.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169815"},"PeriodicalIF":3.0,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425482","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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