Annals of PhysicsPub Date : 2025-04-26DOI: 10.1016/j.aop.2025.170045
Rajesh Kumar , Rajesh Kumar Yadav , Avinash Khare
{"title":"Rational extension of anisotropic harmonic oscillator potentials in higher dimensions","authors":"Rajesh Kumar , Rajesh Kumar Yadav , Avinash Khare","doi":"10.1016/j.aop.2025.170045","DOIUrl":"10.1016/j.aop.2025.170045","url":null,"abstract":"<div><div>This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line, half-line, and their combinations. The exact solutions are in terms of the exceptional orthogonal polynomials. The rationally extended potentials are isospectral to the conventional QAHOs.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170045"},"PeriodicalIF":3.0,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882505","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}
Annals of PhysicsPub Date : 2025-04-25DOI: 10.1016/j.aop.2025.170037
Igor N. Karnaukhov , E.E. Krasovskii
{"title":"Solution of the modified Anderson chain","authors":"Igor N. Karnaukhov , E.E. Krasovskii","doi":"10.1016/j.aop.2025.170037","DOIUrl":"10.1016/j.aop.2025.170037","url":null,"abstract":"<div><div>A modified Anderson lattice is proposed, whose Hamiltonian takes into account both the direct exchange interaction between band and localized electrons and their hybridization. The proposed approach allows us to take into account the dynamic processes caused by the motion of band electrons. It is shown that the ground state of the modified Anderson lattice is due to the formation of local singlets (from band and localized electrons) during the motion of band electrons along the chain and their scattering. The charge gap in the Kondo insulator is calculated for an arbitrary value of the coupling; its value is determined by the effective antiferromagnetic exchange interaction, taking into account both direct and through hybridization exchange interactions. It is shown that in the case of weak coupling the width of the gap is determined by the scattering of band electrons. Its magnitude is proportional to the squared effective exchange interaction between band and localized electrons, and in the case of a strong coupling it is determined by energy of singlet.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170037"},"PeriodicalIF":3.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877580","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}
Annals of PhysicsPub Date : 2025-04-23DOI: 10.1016/j.aop.2025.170038
L.G. Barbosa, L.C.N. Santos, J.V. Zamperlini, F.M. da Silva
{"title":"Cornell and Coulomb potentials in the double defect spacetime","authors":"L.G. Barbosa, L.C.N. Santos, J.V. Zamperlini, F.M. da Silva","doi":"10.1016/j.aop.2025.170038","DOIUrl":"10.1016/j.aop.2025.170038","url":null,"abstract":"<div><div>We analyze the quantum dynamics of a scalar field in a spacetime incorporating dual topological defects, specifically a cosmic string and a global monopole. Utilizing a generalized metric that encapsulates the combined geometric effects of both defects, we solve the Klein–Gordon equation through separation of variables and examine the role of external potentials, with a focus on the generalized Cornell potential. A comparative analysis against the pure Coulomb potential is conducted to elucidate the modifications induced by the additional linear term. The presence of topological defects deforms the radial components of the wave equation, leading to energy spectrum shifts in bound states and alterations in scattering phase shifts. The results obtained provide a deeper theoretical foundation for understanding the behavior of spin-0 particles in nontrivial spacetime geometries, particularly in the presence of distinct potential interactions.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170038"},"PeriodicalIF":3.0,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873499","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}
Annals of PhysicsPub Date : 2025-04-22DOI: 10.1016/j.aop.2025.170040
Keiichi Kimura , Akira Takamura
{"title":"New CP phase and exact oscillation probabilities of Dirac neutrino derived from relativistic equation","authors":"Keiichi Kimura , Akira Takamura","doi":"10.1016/j.aop.2025.170040","DOIUrl":"10.1016/j.aop.2025.170040","url":null,"abstract":"<div><div>We present a new formulation for deriving neutrino oscillation probabilities relativistically, based not on the Schrödinger equation but on the Dirac equation. In the context of two generations, we calculate the oscillation probabilities precisely in a scenario where only the Dirac mass term is present. Our analysis reveals the emergence of two new features in the oscillation probabilities derived from the Dirac equation. The first feature is that the oscillation probabilities depend on the absolute value of the neutrino mass. While it has generally been assumed that oscillation probabilities depend solely on mass squared differences, we show that they also depend on the absolute mass. The second feature is the emergence of a new CP phase. If interactions exist that can distinguish the flavors of right-handed neutrinos in physics beyond the Standard Model, we could potentially observe this new CP phase even in the two-generation model. We discuss the feasibility of detecting the contributions of these features through neutrino oscillations at atomic scales. In contrast, these effects are negligible in conventional short- and long-baseline experiments, and no contradictions arise with previous findings.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170040"},"PeriodicalIF":3.0,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873498","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}
Annals of PhysicsPub Date : 2025-04-21DOI: 10.1016/j.aop.2025.170039
Rodrigo R. Cuzinatto , Rajendra P. Gupta , Pedro J. Pompeia
{"title":"Covarying-Bi-Scalar Theory: A model with covarying G and c and a natural screening mechanism","authors":"Rodrigo R. Cuzinatto , Rajendra P. Gupta , Pedro J. Pompeia","doi":"10.1016/j.aop.2025.170039","DOIUrl":"10.1016/j.aop.2025.170039","url":null,"abstract":"<div><div>In this paper we consider a double-scalar-field extension to scalar–tensor theories of gravity. Our theory is based in the metric tensor <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msub></math></span> and two scalar fields. We keep the idea in Brans–Dicke theory that the gravitational coupling <span><math><mi>G</mi></math></span> is an effective phenomenon from the dynamics of a scalar field <span><math><mi>ϕ</mi></math></span>. In addition to that, we raise the speed of light <span><math><mi>c</mi></math></span> to the status of an independent scalar field. The dynamical analysis of <span><math><mrow><mi>ϕ</mi><mfenced><mrow><msup><mrow><mi>x</mi></mrow><mrow><mi>μ</mi></mrow></msup></mrow></mfenced></mrow></math></span> and <span><math><mrow><mi>c</mi><mfenced><mrow><msup><mrow><mi>x</mi></mrow><mrow><mi>μ</mi></mrow></msup></mrow></mfenced></mrow></math></span> is performed in the phase space and the conditions for the existence of stable equilibrium points are determined. These conditions accommodate the constraint <span><math><mrow><mfenced><mrow><msup><mrow><mi>c</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>/</mo><mi>G</mi></mrow></mfenced><mo>=</mo><mtext>constant</mtext></mrow></math></span> in accordance with the ansatz <span><math><mrow><mover><mrow><mi>G</mi></mrow><mrow><mo>̇</mo></mrow></mover><mo>/</mo><mi>G</mi><mo>=</mo><mn>3</mn><mfenced><mrow><mover><mrow><mi>c</mi></mrow><mrow><mo>̇</mo></mrow></mover><mo>/</mo><mi>c</mi></mrow></mfenced></mrow></math></span> that has recently received support from astrophysical and cosmological phenomenology. We analyze this possibility in the context of FLRW cosmology and a chameleon-like mechanism we dubbed <span><math><mi>c</mi></math></span>-meleon. We obtain specific solutions for the <span><math><mi>c</mi></math></span>-meleon field, including (i) an O’Hanlon and Tupper-like solution, (ii) dust-matter plus the varying <span><math><mi>c</mi></math></span> (and <span><math><mi>G</mi></math></span>), and (iii) vacuum energy plus the varying <span><math><mi>c</mi></math></span> (and <span><math><mi>G</mi></math></span>).</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170039"},"PeriodicalIF":3.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143870026","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}
Annals of PhysicsPub Date : 2025-04-21DOI: 10.1016/j.aop.2025.170034
Trifce Sandev , Irina Petreska , Alexander Iomin
{"title":"From standard to generalized Schrödinger and Klein–Gordon equations: Subordination approach","authors":"Trifce Sandev , Irina Petreska , Alexander Iomin","doi":"10.1016/j.aop.2025.170034","DOIUrl":"10.1016/j.aop.2025.170034","url":null,"abstract":"<div><div>We derive generalized versions of the Schrödinger and Klein–Gordon equations from the corresponding standard Schrödinger and Klein–Gordon equations by means of the subordination approach. A special cases of time fractional Schrödinger and Klein–Gordon equations are obtained for the Lévy <span><math><mi>α</mi></math></span>-stable subordinator. It has been shown that the Caputo time fractional derivatives in quantum mechanics (relativistic and non-relativistic) are due to the Lévy stable processes in time with a characteristic time scale <span><math><mi>τ</mi></math></span>, such that the fractional time is dimensionless according to the ratio <span><math><mrow><mi>t</mi><mo>/</mo><mi>τ</mi></mrow></math></span>.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170034"},"PeriodicalIF":3.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143870027","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}
Annals of PhysicsPub Date : 2025-04-17DOI: 10.1016/j.aop.2025.170033
M. Baradaran , L.M. Nieto , S. Zarrinkamar
{"title":"Dirac equation with space contributions embedded in a quantum-corrected gravitational field","authors":"M. Baradaran , L.M. Nieto , S. Zarrinkamar","doi":"10.1016/j.aop.2025.170033","DOIUrl":"10.1016/j.aop.2025.170033","url":null,"abstract":"<div><div>The Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum corrections to the classical potential. The general idea in choosing the metric is that the spacetime contributions are contained in an external potential or in an electromagnetic potential which can be considered as a good basis for future studies of quantum physics in space. The forms considered for the scalar potential and the so-called vector (magnetic) potential, can be viewed as the multipole expansion of these terms and therefore the approach includes a simultaneous study of multipole expansions to both fields. We also comment on the special case of the problem with merely a relativistic correction in terms of Heun functions. The impossibility of solving our equation for the quantum-corrected Coulomb terms using known exact or quasi-exact nonperturbative analytical techniques is discussed, and finally the Bethe-ansatz approach is proposed to overcome this challenging problem.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170033"},"PeriodicalIF":3.0,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850167","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}
Annals of PhysicsPub Date : 2025-04-17DOI: 10.1016/j.aop.2025.170029
Naveen K. Singh , Gopal Kashyap
{"title":"A note on stability of neutron star and cosmological constant","authors":"Naveen K. Singh , Gopal Kashyap","doi":"10.1016/j.aop.2025.170029","DOIUrl":"10.1016/j.aop.2025.170029","url":null,"abstract":"<div><div>We derive the equation for pressure within a neutron star while incorporating a nonzero cosmological constant (<span><math><mi>Λ</mi></math></span>). We then examine the equilibrium configurations of neutron stars in the presence of <span><math><mi>Λ</mi></math></span> and extend the stability theorem for stellar structures to such cases. Our analysis confirms that the equilibrium theorem remains valid even when a cosmological constant is introduced. To explore the astrophysical implications, we numerically solve the stellar structure equations for various equations of state (EOS) and analyze the resulting mass–radius (<span><math><mi>M</mi></math></span>-<span><math><mi>R</mi></math></span>) relations. While the observed value of <span><math><mi>Λ</mi></math></span> has a negligible impact on neutron star properties, we find that for <span><math><mrow><mi>Λ</mi><mo>≥</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>11</mn></mrow></msup><mspace></mspace><msup><mrow><mtext>m</mtext></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></math></span>, significant deviations in the mass and radius of neutron stars arise. This result is consistent with previous studies, highlighting the sensitivity of compact object structure to nonzero <span><math><mi>Λ</mi></math></span> values.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170029"},"PeriodicalIF":3.0,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850168","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}
Annals of PhysicsPub Date : 2025-04-17DOI: 10.1016/j.aop.2025.170028
I. Andrade , R. Menezes , A.Yu. Petrov , P.J. Porfírio
{"title":"Kink solutions in nonlocal scalar field theory models","authors":"I. Andrade , R. Menezes , A.Yu. Petrov , P.J. Porfírio","doi":"10.1016/j.aop.2025.170028","DOIUrl":"10.1016/j.aop.2025.170028","url":null,"abstract":"<div><div>In this paper, we study in detail various solutions, especially kink ones, in different nonlocal scalar field theories, whose kinetic term is described by an arbitrary non-polynomial analytic function of the d’Alembertian operator, and the potential is chosen either to be quadratic or to allow for the kink-like solution. Using the perturbative method, we find corrections of first and second orders in the nonlocality parameter around local solutions for several form factors and generate analytic expressions for the energy density up to the first order in this parameter. Additionally, we also address an inverse problem, that is, we reconstruct the potential corresponding to the given solution obtaining restrictions for the form factor.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170028"},"PeriodicalIF":3.0,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850166","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}
Annals of PhysicsPub Date : 2025-04-15DOI: 10.1016/j.aop.2025.170025
A.R. Vieira
{"title":"Do anomalies break the momentum routing invariance?","authors":"A.R. Vieira","doi":"10.1016/j.aop.2025.170025","DOIUrl":"10.1016/j.aop.2025.170025","url":null,"abstract":"<div><div>The diagrammatic computation of anomalies is usually associated with the breaking of the momentum routing invariance. This is because the momentum routing is usually chosen to fulfill the desired Ward identity. In the case of the chiral anomaly, the momentum routing is chosen in order to fulfill the gauge Ward identity and break the chiral Ward identity. Although the chiral anomaly is physical because it is associated with the pion decay into two photons, this does not necessarily mean that the momentum routing invariance is broken because the momentum routing was chosen in the computation of the anomaly. The reciprocal is not true, <em>i.e.</em> anomalies do not imply in momentum routing invariance breaking. In this work, we show that if gauge invariance is assumed, the chiral and the scale anomalies are independent of the momentum routing chosen and as a result they are momentum routing invariant. This idea is applied to a QED with non-minimal CPT and Lorentz violation, where momentum routing invariance is used to find out what symmetry is broken in the Ward identities.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170025"},"PeriodicalIF":3.0,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143839474","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}