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The geometrization of Maxwell's equations and the emergence of gravity and antimatter 麦克斯韦方程的几何化与引力和反物质的出现
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-04-11 DOI: 10.1016/j.aop.2024.169661
Raymond J. Beach
{"title":"The geometrization of Maxwell's equations and the emergence of gravity and antimatter","authors":"Raymond J. Beach","doi":"10.1016/j.aop.2024.169661","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169661","url":null,"abstract":"<div><p>Coupling the Maxwell tensor to the Riemann-Christoffel curvature tensor is shown to lead to a geometricized theory of electrodynamics. While this geometricized theory leads directly to the classical Maxwell equations, it also extends their physical interpretation by giving charge density and the four-velocity that describe its motion geometric definitions. Introducing mass using a conserved energy-momentum tensor, all solutions to the geometricized theory of electrodynamics developed here are shown to be consistent with the emergence of gravity obeying the General Relativity field equation augmented by a term that mimics the properties of dark matter and/or dark energy. Finally, due to the symmetries of the theory, the properties and phenomenology of antimatter emerge in solutions.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0003491624000691/pdfft?md5=54383daca3b0c356163435146b4d679c&pid=1-s2.0-S0003491624000691-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140647616","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
Stability of charged anisotropic thin shell gravastars admitting conformal motion in f(R,T) gravity 带电各向异性薄壳引力星在 f(R,T) 引力下接受保角运动的稳定性
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-04-11 DOI: 10.1016/j.aop.2024.169659
Rabia Saleem , M. Israr Aslam , Sobia Sadiq , M. Taimoor Murtaza
{"title":"Stability of charged anisotropic thin shell gravastars admitting conformal motion in f(R,T) gravity","authors":"Rabia Saleem ,&nbsp;M. Israr Aslam ,&nbsp;Sobia Sadiq ,&nbsp;M. Taimoor Murtaza","doi":"10.1016/j.aop.2024.169659","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169659","url":null,"abstract":"<div><p>This paper investigates the interesting features of gravastar configuration under charged anisotropic fluid distribution considering geometry-matter coupling theory. In the context of <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> gravity, we derive exact solutions of the Einstein field equations using the linear form of the function <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow><mo>=</mo><mi>R</mi><mo>+</mo><mn>2</mn><mi>γ</mi><mi>T</mi></mrow></math></span>, where <span><math><mi>R</mi></math></span> is the Ricci scalar and <span><math><mi>T</mi></math></span> is the trace of the energy–momentum tensor with conformal motion. We consider three different regions of gravastar, the interior region having a definite radius <span><math><mi>r</mi></math></span>, the intermediate layer of matter with the thickness <span><math><mi>ϵ</mi></math></span>, and the outer region with the radius <span><math><mrow><mi>r</mi><mo>+</mo><mi>ϵ</mi></mrow></math></span>. For the viability of our developed solution, we examine the metric potentials, energy density, and pressure components inside the thin shell for different values of theory parameter <span><math><mi>γ</mi></math></span>, and charge <span><math><mi>Q</mi></math></span>. Using the well-known matching conditions, we interpret the dynamical properties of gravastar such as surface charge density, surface pressure, proper length, equation of state parameter, entropy, and evolution of shell energy under the allowed range of parameters. Moreover, we analyze the presence of realistic matter inside the thin shell through energy conditions. The dynamical stability of the gravastar is checked through the equilibrium profile and speed of sound parameter, which shows the stable configuration of the gravastar in our theoretical studies.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140605741","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
Cosmic string influence on a 2D hydrogen atom and its relationship with the Rytova–Keldysh logarithmic approximation in semiconductors 宇宙弦对二维氢原子的影响及其与半导体中雷托瓦-凯尔迪什对数近似的关系
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-04-09 DOI: 10.1016/j.aop.2024.169660
Frankbelson dos S. Azevedo , Izael A. Lima , Gallileu Genesis , Rodolfo Casana , Edilberto O. Silva
{"title":"Cosmic string influence on a 2D hydrogen atom and its relationship with the Rytova–Keldysh logarithmic approximation in semiconductors","authors":"Frankbelson dos S. Azevedo ,&nbsp;Izael A. Lima ,&nbsp;Gallileu Genesis ,&nbsp;Rodolfo Casana ,&nbsp;Edilberto O. Silva","doi":"10.1016/j.aop.2024.169660","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169660","url":null,"abstract":"<div><p>A two-dimensional hydrogen atom offers a promising alternative for describing the quantum interaction between an electron and a proton in the presence of a cosmic string. Reducing the hydrogen atom to two dimensions enhances its suited to capture the cylindrical/conical symmetry associated with the cosmic string, providing a more appropriate description of the physical system. After solving Schrd̈inger’s equation, we calculate the eigenenergies, probability distribution function, and expected values for the hydrogen atom with logarithmic potential under the influence of the topological defect. The calculations for the 2D hydrogen atom are performed for the first time using the Finite Difference Method. The results are presented through graphics, tables, and diagrams to elucidate the system’s physical properties. We have verified that our calculations agree with a linear variational method result. Our model leads to an interesting analogy with excitons in a two-dimensional monolayer semiconductor located within a specific semiconductor region. To elucidate this analogy, we present and discuss some interaction potentials and their exciton eigenstates by comparing them with the results from the literature.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140546207","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
Impact of charged and quantum-correction on the dynamics of scalar shell surrounded by Kiselev black hole 带电和量子修正对基塞廖夫黑洞包围的标量壳动力学的影响
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-04-03 DOI: 10.1016/j.aop.2024.169658
Faisal Javed , Mansoor H. Alshehri
{"title":"Impact of charged and quantum-correction on the dynamics of scalar shell surrounded by Kiselev black hole","authors":"Faisal Javed ,&nbsp;Mansoor H. Alshehri","doi":"10.1016/j.aop.2024.169658","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169658","url":null,"abstract":"<div><p>The objective of this study is to investigate the geometric configurations of a thin-shell in the framework of quantum-corrected charged Kiselev black holes. In order to do this, a cut and paste technique is employed to align the inner Minkowski spacetime with the black hole solutions under consideration. Our research explores the effects of quantum-correction on the stability of thin-shell using linearized radial perturbation method incorporating the phantomlike equation of state such as quintessence. This approach allows for the identification of stable configurations of the thin-shell situated beyond the expected location of the event horizon in the exterior manifold. Moreover, it is evident that the stability of the thin-shell is significantly dependent on the parameters associated with the black hole solutions. In this study, we investigate the dynamics of the thin-shell configuration using Klein–Gordon’s equation of motion, including both massive and massless scalar fields. The results of our study suggest that the presence of the scalar field has a significant impact on the behavior of the thin-shell, resulting in notable phenomena such as expansion and collapse. The aforementioned results provide valuable insights into the behavior of black hole solutions by examining the dynamics of thin-shells in relation to quantum-correction parameters involving scalar fields. In summary, it is observed that the presence of a quantum-correction parameter has the effect of reducing the stable configuration of a Kiselev black holes.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140540665","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
A quantum mechanical example for Hodge theory 霍奇理论的量子力学实例
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-03-28 DOI: 10.1016/j.aop.2024.169657
Shri Krishna , R.P. Malik
{"title":"A quantum mechanical example for Hodge theory","authors":"Shri Krishna ,&nbsp;R.P. Malik","doi":"10.1016/j.aop.2024.169657","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169657","url":null,"abstract":"<div><p>On the basis of (i) the discrete and continuous symmetries (and corresponding conserved charges), (ii) the ensuing algebraic structures of the symmetry operators and conserved charges, and (iii) a few basic concepts behind the subject of differential geometry, we show that the celebrated Friedberg-Lee-Pang-Ren (FLPR) quantum mechanical model (describing the motion of a single non-relativistic particle of unit mass under the influence of a general <em>spatial</em> 2D rotationally invariant potential) provides a tractable physical example for the Hodge theory within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism where the symmetry operators and conserved charges lead to the physical realizations of the de Rham cohomological operators of differential geometry at the <em>algebraic</em> level. We concisely mention the Hodge decomposition theorem in the quantum Hilbert space of states and choose the harmonic states as the <em>real</em> physical states of our theory. We discuss the physicality criteria w.r.t. the conserved and nilpotent versions of the (anti-)BRST and (anti-)co-BRST charges and the physical consequences that ensue from them.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140533805","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
The possibility of tachyons as soliton solutions in 3+1 dimensions via k-field models 通过 k 场模型,3+1 维中的超速子作为孤子解的可能性
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-03-27 DOI: 10.1016/j.aop.2024.169645
M. Mohammadi
{"title":"The possibility of tachyons as soliton solutions in 3+1 dimensions via k-field models","authors":"M. Mohammadi","doi":"10.1016/j.aop.2024.169645","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169645","url":null,"abstract":"<div><p>Tachyons or hypothetical faster-than-light (FTL) particles would fail the principle of causality. Such particles may only be imagined when they have no energy and momentum and, thus, no observable interaction. In this paper, we show that the classical relativistic field theory with non-standard Lagrangian densities (<span><math><mi>k</mi></math></span>-field models) does not rule out the existence of FTL particle-like solutions (solitons) with zero energy and momentum in <span><math><mrow><mn>3</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions. However, contrary to our expectation, we show that it is possible to have <span><math><mi>k</mi></math></span>-field models that lead to energetic FTL soliton solutions in <span><math><mrow><mn>3</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140339648","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
Casimir and Helmholtz forces in one-dimensional Ising model with Dirichlet (free) boundary conditions 具有迪里希特(自由)边界条件的一维伊辛模型中的卡西米尔力和赫尔姆霍兹力
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-03-24 DOI: 10.1016/j.aop.2024.169647
D.M. Dantchev , N.S. Tonchev , J. Rudnick
{"title":"Casimir and Helmholtz forces in one-dimensional Ising model with Dirichlet (free) boundary conditions","authors":"D.M. Dantchev ,&nbsp;N.S. Tonchev ,&nbsp;J. Rudnick","doi":"10.1016/j.aop.2024.169647","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169647","url":null,"abstract":"<div><p>Attention in the literature has increasingly turned to the issue of the dependence on ensemble and boundary conditions of fluctuation-induced forces. We have recently investigated this problem in the one-dimensional Ising model with periodic and antiperiodic boundary conditions (Annals of Physics <strong>4</strong>59, 169533 (2023)). Significant variations of the behavior of Casimir and Helmholtz forces was observed, depending on both ensemble and boundary conditions. Here we extend our study by considering the problem in the important case of Dirichlet (also termed free, or missing neighbors) boundary conditions. The advantage of the mathematical formulation of the problem in terms of Chebyshev polynomials is demonstrated and, in this approach, expressions for the partition functions in the canonical and the grand canonical ensembles are presented. We prove analytically that the Casimir force is attractive for all values of temperature and external ordering field, while the Helmholtz force can be both attractive and repulsive.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0003491624000551/pdfft?md5=6c1333f2ea4ff7746db5d87c6959f07e&pid=1-s2.0-S0003491624000551-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140209545","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
Time delay and nonadiabatic calibration of the attoclock. Multiphoton process versus tunneling in strong field interaction attoclock的时间延迟和非绝热校准。强场相互作用中的多光子过程与隧道效应
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-03-24 DOI: 10.1016/j.aop.2024.169648
Ossama Kullie , Igor A. Ivanov
{"title":"Time delay and nonadiabatic calibration of the attoclock. Multiphoton process versus tunneling in strong field interaction","authors":"Ossama Kullie ,&nbsp;Igor A. Ivanov","doi":"10.1016/j.aop.2024.169648","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169648","url":null,"abstract":"<div><p>The measurement of the tunneling time delay in attosecond experiments, termed attoclock, sparked a heated debate about tunneling time and the role of time in quantum mechanics. We show a model that explains the experimental result of the attoclock in the nonadiabatic field calibration, where we find good agreement with the experimental data of Hofmann et al. (J. Mod. Opt. 66, 1052, 2019). We confirm our result with the numerical integration of the time-dependent Schrödinger equation. We also found that at a field strength <span><math><mrow><mi>F</mi><mo>≤</mo><msub><mrow><mi>F</mi></mrow><mrow><mi>a</mi></mrow></msub></mrow></math></span> (<span><math><msub><mrow><mi>F</mi></mrow><mrow><mi>a</mi></mrow></msub></math></span> is the atomic field strength), the model always predicts a time delay with respect to the quantum (lower) limit <span><math><msub><mrow><mi>τ</mi></mrow><mrow><mi>a</mi></mrow></msub></math></span> at <span><math><mrow><mi>F</mi><mo>=</mo><msub><mrow><mi>F</mi></mrow><mrow><mi>a</mi></mrow></msub></mrow></math></span>. For an adiabatic tunneling, the saturation at the limit (<span><math><mrow><mi>F</mi><mo>=</mo><msub><mrow><mi>F</mi></mrow><mrow><mi>a</mi></mrow></msub></mrow></math></span>) explains the well-known Hartman effect or Hartman paradox.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0003491624000563/pdfft?md5=beabd54318d62b7214bd3b50ee3538ce&pid=1-s2.0-S0003491624000563-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140290439","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
Generators of the Poincaré Group for arbitrary tensors and spinor-tensors 任意张量和自旋张量的普恩卡莱群的生成器
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-03-20 DOI: 10.1016/j.aop.2024.169646
H.V. Almeida Silva , D. Dalmazi , R.R. Lino dos Santos , E.L. Mendonça
{"title":"Generators of the Poincaré Group for arbitrary tensors and spinor-tensors","authors":"H.V. Almeida Silva ,&nbsp;D. Dalmazi ,&nbsp;R.R. Lino dos Santos ,&nbsp;E.L. Mendonça","doi":"10.1016/j.aop.2024.169646","DOIUrl":"10.1016/j.aop.2024.169646","url":null,"abstract":"<div><p>In this work, we systematically derive explicit expressions for the Poincaré Group generators on arbitrary-rank tensors and spinor-tensors in <span><math><mrow><mi>D</mi><mo>=</mo><mn>3</mn><mo>+</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mi>D</mi><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math></span> spacetimes, thus generalizing previous works in the literature for the groups <span><math><mrow><mi>I</mi><mi>S</mi><mi>O</mi><mrow><mo>(</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>I</mi><mi>S</mi><mi>O</mi><mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>. From the Casimir eigenvalue equations, we demonstrate in a model-independent way the Fierz-Pauli constraints for massive particles for spins <span><math><mrow><mi>s</mi><mo>=</mo><mn>5</mn><mo>/</mo><mn>2</mn></mrow></math></span>, 3, and 4 in <span><math><mrow><mi>D</mi><mo>=</mo><mn>3</mn><mo>+</mo><mn>1</mn></mrow></math></span> and helicities <span><math><mrow><mi>α</mi><mo>=</mo><mn>5</mn><mo>/</mo><mn>2</mn></mrow></math></span>, 3, and 4 in <span><math><mrow><mi>D</mi><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions. We also comment on the demonstration of the Fierz-Pauli constraints for the general case of arbitrary spin (helicity).</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140274065","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
Contact interactions, self-adjoint extensions, and low-energy scattering 接触相互作用、自结合扩展和低能散射
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-03-19 DOI: 10.1016/j.aop.2024.169644
Daniel R. DeSena , Brian C. Tiburzi
{"title":"Contact interactions, self-adjoint extensions, and low-energy scattering","authors":"Daniel R. DeSena ,&nbsp;Brian C. Tiburzi","doi":"10.1016/j.aop.2024.169644","DOIUrl":"https://doi.org/10.1016/j.aop.2024.169644","url":null,"abstract":"<div><p>Low-energy scattering is well described by the effective-range expansion. In quantum mechanics, a tower of contact interactions can generate terms in this expansion after renormalization. Scattering parameters are also encoded in the self-adjoint extension of the Hamiltonian. We briefly review this well-known result for two particles with <span><math><mi>s</mi></math></span>-wave interactions using impenetrable self-adjoint extensions, including the case of harmonically trapped two-particle states. By contrast, the one-dimensional scattering problem is surprisingly intricate. We show that the families of self-adjoint extensions correspond to a coupled system of symmetric and antisymmetric outgoing waves, which is diagonalized by an <span><math><mrow><mi>S</mi><mi>U</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span> transformation that accounts for mixing and a relative phase. This is corroborated by an effective theory computation that includes all four energy-independent contact interactions. The equivalence of various one-dimensional contact interactions is discussed and scrutinized from the perspective of renormalization. As an application, the spectrum of a general point interaction with a harmonic trap is solved in one dimension.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140187399","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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