Annales Henri Poincaré最新文献_第4页

Extensions of Lorentzian Hawking–Page Solutions with Null Singularities, Spacelike Singularities, and Cauchy Horizons of Taub–NUT Type 具有零奇点、类空间奇点和Taub-NUT型Cauchy视界的Lorentzian Hawking-Page解的扩展

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-11-07 DOI: 10.1007/s00023-024-01507-1

Serban Cicortas

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From Orbital Magnetism to Bulk-Edge Correspondence 从轨道磁性到体边对应

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-11-07 DOI: 10.1007/s00023-024-01501-7

Horia D. Cornean, Massimo Moscolari, Stefan Teufel

引用次数: 0

Effective Dynamics of Translationally Invariant Magnetic Schrödinger Equations in the High Field Limit 平移不变磁Schrödinger方程在高场极限下的有效动力学

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-11-06 DOI: 10.1007/s00023-024-01493-4

Gheorghe Nenciu, Evelyn Richman, Christof Sparber

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Ground State Energy of Dense Gases of Strongly Interacting Fermions 强相互作用费米子稠密气体的基态能量。

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-11-05 DOI: 10.1007/s00023-024-01506-2

Søren Fournais, Błażej Ruba, Jan Philip Solovej

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Dispersive and Strichartz Estimates for Schrödinger Equation with One Aharonov–Bohm Solenoid in a Uniform Magnetic Field 均匀磁场中一个Aharonov-Bohm螺线管Schrödinger方程的色散和Strichartz估计

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-10-28 DOI: 10.1007/s00023-024-01500-8

Haoran Wang, Fang Zhang, Junyong Zhang

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Asymptotics of Solutions to Silent Wave Equations 静波方程解的渐近性

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-10-27 DOI: 10.1007/s00023-024-01504-4

Andrés Franco Grisales

{"title":"Asymptotics of Solutions to Silent Wave Equations","authors":"Andrés Franco Grisales","doi":"10.1007/s00023-024-01504-4","DOIUrl":"10.1007/s00023-024-01504-4","url":null,"abstract":"<div><p>We study the asymptotics of solutions to a particular class of systems of linear wave equations, namely, of silent equations. Here, the asymptotics refer to the behavior of the solutions near a cosmological singularity, or near infinity in the expanding direction. Leading-order asymptotics for solutions of silent equations were already obtained by Ringström (Astérisque 420, 2020). Here, we improve upon Ringström’s result, by obtaining asymptotic estimates of all orders for the solutions, and showing that solutions are uniquely determined by the asymptotic data contained in the estimates. As an application, we then study solutions to the source free Maxwell’s equations in Kasner spacetimes near the initial singularity. Our results allow us to obtain an asymptotic expansion for the potential of the electromagnetic field, and to show that the energy density of generic solutions blows up along generic timelike geodesics when approaching the singularity. The asymptotics we study correspond to the heuristics of the BKL conjecture, where the coefficients of the spatial derivative terms of the equations are expected to be small, and thus these terms are neglected in order to obtain the asymptotics.\u0000</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 9","pages":"3383 - 3440"},"PeriodicalIF":1.3,"publicationDate":"2024-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01504-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990428","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

Correction to: Free Energy Fluctuations of the Bipartite Spherical SK Model at Critical Temperature 修正：临界温度下二部球面SK模型的自由能波动

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-10-21 DOI: 10.1007/s00023-024-01498-z

Elizabeth W. Collins-Woodfin, Han Gia Le

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A Phase Space Approach to the Conformal Construction of Non-vacuum Initial Data Sets in General Relativity 广义相对论中非真空初始数据集共形构造的相空间方法

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-10-18 DOI: 10.1007/s00023-024-01492-5

James Isenberg, David Maxwell

{"title":"A Phase Space Approach to the Conformal Construction of Non-vacuum Initial Data Sets in General Relativity","authors":"James Isenberg, David Maxwell","doi":"10.1007/s00023-024-01492-5","DOIUrl":"10.1007/s00023-024-01492-5","url":null,"abstract":"<div><p>We present a uniform (and unambiguous) procedure for scaling the matter fields in implementing the conformal method to parameterize and construct solutions of Einstein constraint equations with coupled matter sources. The approach is based on a phase space representation of the spacetime matter fields after a careful <span>(n+1)</span> decomposition into spatial fields <i>B</i> and conjugate momenta <span>(Pi _B)</span>, which are specified directly and are conformally invariant quantities. We show that if the Einstein-matter field theory is specified by a Lagrangian which is diffeomorphism invariant and involves no dependence on derivatives of the spacetime metric in the matter portion of the Lagrangian, then fixing <i>B</i> and <span>(Pi _B)</span> results in conformal constraint equations that, for constant-mean curvature initial data, semi-decouple just as they do for the vacuum Einstein conformal constraint equations. We prove this result by establishing a structural property of the Einstein momentum constraint that is independent of the conformal method: For an Einstein-matter field theory which satisfies the conditions just stated, if <i>B</i> and <span>(Pi _B)</span> satisfy the matter Euler–Lagrange equations, then (in suitable form) the right-hand side of the momentum constraint on each spatial slice depends only on <i>B</i> and <span>(Pi _B)</span> and is independent of the spacetime metric. We discuss the details of our construction in the special cases of the following models: Einstein–Maxwell-charged scalar field, Einstein–Proca, Einstein-perfect fluid, and Einstein–Maxwell-charged dust. In these examples we find that our technique gives a theoretical basis for scaling rules, such as those for electromagnetism, that have worked pragmatically in the past, but also generates new equations with advantageous features for perfect fluids that allow direct specification of total rest mass and total charge in any spatial region.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 7","pages":"2505 - 2555"},"PeriodicalIF":1.3,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167351","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

Three-Term Asymptotic Formula for Large Eigenvalues of the Quantum Rabi Model with a Resonant Bias 具有共振偏置的量子Rabi模型大特征值的三项渐近公式

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-10-18 DOI: 10.1007/s00023-024-01495-2

Anne Boutet de Monvel, Mirna Charif, Lech Zielinski

引用次数: 0

Point Potentials on Euclidean Space, Hyperbolic Space and Sphere in Any Dimension 欧几里得空间、双曲空间和球面上的点势

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-10-17 DOI: 10.1007/s00023-024-01496-1

Jan Dereziński, Christian Gaß, Błażej Ruba

{"title":"Point Potentials on Euclidean Space, Hyperbolic Space and Sphere in Any Dimension","authors":"Jan Dereziński, Christian Gaß, Błażej Ruba","doi":"10.1007/s00023-024-01496-1","DOIUrl":"10.1007/s00023-024-01496-1","url":null,"abstract":"<div><p>In dimensions <span>(d=1,2,3)</span>, the Laplacian can be perturbed by a point potential. In higher dimensions, the Laplacian with a point potential cannot be defined as a self-adjoint operator. However, for any dimension there exists a natural family of functions that can be interpreted as Green’s functions of the Laplacian with a spherically symmetric point potential. In dimensions 1, 2, 3, they are the integral kernels of the resolvent of well-defined self-adjoint operators. In higher dimensions, they are not even integral kernels of bounded operators. Their construction uses the so-called generalized integral, a concept going back to Riesz and Hadamard. We consider the Laplace(–Beltrami) operator on the Euclidean space, the hyperbolic space and the sphere in any dimension. We describe the corresponding Green’s functions, also perturbed by a point potential. We describe their limit as the scaled hyperbolic space and the scaled sphere approach the Euclidean space. Especially interesting is the behavior of positive eigenvalues of the spherical Laplacian, which undergo a shift proportional to a negative power of the radius of the sphere. We expect that in any dimension our constructions yield possible behaviors of the integral kernel of the resolvent of a perturbed Laplacian far from the support of the perturbation. Besides, they can be viewed as toy models illustrating various aspects of renormalization in quantum field theory, especially the point-splitting method and dimensional regularization.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 10","pages":"3477 - 3531"},"PeriodicalIF":1.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01496-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145204686","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