Annals of Physics最新文献

{"title":"Multi-time version of the Landau–Peierls formulation of quantum electrodynamics","authors":"Matthias Lienert,&nbsp;Roderich Tumulka","doi":"10.1016/j.aop.2025.170043","DOIUrl":"10.1016/j.aop.2025.170043","url":null,"abstract":"<div><div>Landau and Peierls wrote down the Hamiltonian of a simplified version of quantum electrodynamics in the particle-position representation. We present a multi-time version of their Schrödinger equation, which bears several advantages over their original equation: the time evolution equations are simpler and more natural; they are more transparent with respect to choice of gauge; and, perhaps most importantly, they are manifestly Lorentz covariant. We discuss properties of the multi-time equations. Along the way, we also discuss the Lorentz covariant 3d Dirac delta distribution for spacelike surfaces and the inner product of photon wave functions on spacelike surfaces in an arbitrary gauge.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170043"},"PeriodicalIF":3.0,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143942691","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}

{"title":"Analytical solution to the Lippmann–Schwinger equation in the spherical space","authors":"Anderson L. de Jesus,&nbsp;Rafael M. Fortiny,&nbsp;Alexandre G.M. Schmidt","doi":"10.1016/j.aop.2025.170048","DOIUrl":"10.1016/j.aop.2025.170048","url":null,"abstract":"<div><div>The purpose of this work is to obtain an analytical solution to the Lippmann–Schwinger equation for a scalar particle, bounded in a two-dimensional space with constant positive curvature, called the spherical space. Making use of the thin-layer quantization method, we present the free particle wave function solving the Schrödinger equation on the spherical space using the Laplace–Beltrami operator. We use the Green’s function on the spherical space as the kernel in the Lippmann–Schwinger equation and solve it exactly for the boundary-wall potential, modeled as Dirac delta distributions, considering single, double and finding the generalized result for multiple consecutive barriers. The probability densities are presented graphically.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170048"},"PeriodicalIF":3.0,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143895232","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}

{"title":"Rational extension of anisotropic harmonic oscillator potentials in higher dimensions","authors":"Rajesh Kumar ,&nbsp;Rajesh Kumar Yadav ,&nbsp;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}

{"title":"Implications of Rastall theory on stellar solutions admitting vanishing complexity: A new perspective","authors":"Tayyab Naseer","doi":"10.1016/j.aop.2025.170035","DOIUrl":"10.1016/j.aop.2025.170035","url":null,"abstract":"<div><div>In this paper, the notion of complexity factor and its implication is extended to the framework of non-conserved Rastall theory of gravity. First of all, the field equations governing a static spherical geometry associated with the anisotropic fluid are formulated. The mass function corresponding to the considered geometry is defined in terms of both matter and geometric quantities. The orthogonal decomposition of the Riemann tensor is then performed through which a family of scalar quantities, known as structure scalars, is obtained. Using the Herrera’s recent definition, one of the scalars among them is claimed as the complexity factor, <em>i.e.</em>, <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>T</mi><mi>F</mi></mrow></msub></math></span>. Since there are extra degrees of freedom in the gravitational equations, some constraints are needed to make their solution possible to obtain. In this regard, a well-known vanishing complexity condition is introduced along with three different constraints which ultimately lead to distinct stellar models. In order to check their physical feasibility, a detailed graphical interpretation is provided using multiple values of the Rastall parameter. It is concluded that the obtained results in all three cases are consistent with those of general relativity. Further, the Rastall theory provides more suitable results in the case of model 2, indicating its superiority over Einstein’s gravity theory.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"479 ","pages":"Article 170035"},"PeriodicalIF":3.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143899189","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}

{"title":"Solution of the modified Anderson chain","authors":"Igor N. Karnaukhov ,&nbsp;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}

{"title":"Cornell and Coulomb potentials in the double defect spacetime","authors":"L.G. Barbosa,&nbsp;L.C.N. Santos,&nbsp;J.V. Zamperlini,&nbsp;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}

{"title":"New CP phase and exact oscillation probabilities of Dirac neutrino derived from relativistic equation","authors":"Keiichi Kimura ,&nbsp;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}

{"title":"Covarying-Bi-Scalar Theory: A model with covarying G and c and a natural screening mechanism","authors":"Rodrigo R. Cuzinatto ,&nbsp;Rajendra P. Gupta ,&nbsp;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}

{"title":"From standard to generalized Schrödinger and Klein–Gordon equations: Subordination approach","authors":"Trifce Sandev ,&nbsp;Irina Petreska ,&nbsp;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}

{"title":"Dirac equation with space contributions embedded in a quantum-corrected gravitational field","authors":"M. Baradaran ,&nbsp;L.M. Nieto ,&nbsp;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}