Annales Henri Poincaré最新文献_第9页

Random Covers of Compact Surfaces and Smooth Linear Spectral Statistics 紧曲面的随机覆盖与光滑线性谱统计

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-25 DOI: 10.1007/s00023-025-01551-5

Frédéric Naud

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Almost Sure GOE Fluctuations of Energy Levels for Hyperbolic Surfaces of High Genus 高属双曲曲面能级的几乎肯定GOE涨落。

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-22 DOI: 10.1007/s00023-025-01552-4

Zeév Rudnick, Igor Wigman

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Asymptotic Equipartition Theorems in von Neumann Algebras von Neumann代数的渐近均分定理

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-21 DOI: 10.1007/s00023-025-01545-3

Omar Fawzi, Li Gao, Mizanur Rahaman

{"title":"Asymptotic Equipartition Theorems in von Neumann Algebras","authors":"Omar Fawzi, Li Gao, Mizanur Rahaman","doi":"10.1007/s00023-025-01545-3","DOIUrl":"10.1007/s00023-025-01545-3","url":null,"abstract":"<div>The asymptotic equipartition property (AEP) in information theory shows that independent and identically distributed (i.i.d.) states behave as uniform states on its typical subspace. In particular, such a phenomenon can be expressed as that asymptotically, the min- and the max-relative entropy under appropriate smoothing coincide with the relative entropy. In this paper, we generalize several such equipartition properties to states on general von Neumann algebras. First, we show that the smooth max-relative entropy of i.i.d. states on a von Neumann algebra has an asymptotic rate given by the quantum relative entropy. In fact, our AEP not only applies to states, but also to quantum channels with appropriate restrictions. In addition, going beyond the i.i.d. assumption, we show that for states that are produced by a sequential process of quantum channels, the smooth max-relative entropy can be upper-bounded by the sum of appropriate channel relative entropies. Our main technical contributions are to extend to the context of general von Neumann algebras a chain rule for quantum channels, as well as an additivity result for the channel relative entropy with a replacer channel.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 1","pages":"95 - 141"},"PeriodicalIF":1.3,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145948095","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}

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Propagation of Singularities with Normally Hyperbolic Trapping 具有正常双曲阱的奇点传播

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-19 DOI: 10.1007/s00023-025-01550-6

Qiuye Jia

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Pleijel’s Theorem for Schrödinger Operators Schrödinger算子的Pleijel定理

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-19 DOI: 10.1007/s00023-024-01536-w

Philippe Charron, Corentin Léna

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On the Discrete Dirac Spectrum of General-Relativistic Hydrogenic Ions with Anomalous Magnetic Moment 具有反常磁矩的广义相对论氢离子的离散狄拉克谱

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-18 DOI: 10.1007/s00023-025-01547-1

E. B. Kapengut, M. K.-H. Kiessling, E. Ling, A. S. Tahvildar-Zadeh

{"title":"On the Discrete Dirac Spectrum of General-Relativistic Hydrogenic Ions with Anomalous Magnetic Moment","authors":"E. B. Kapengut, M. K.-H. Kiessling, E. Ling, A. S. Tahvildar-Zadeh","doi":"10.1007/s00023-025-01547-1","DOIUrl":"10.1007/s00023-025-01547-1","url":null,"abstract":"<div>The Reissner–Weyl–Nordström (RWN) spacetime of a point nucleus features a naked singularity for the empirically known nuclear charges Ze and masses (M = A(Z,N)m_{textrm{p}}), where (m_{textrm{p}}) is the proton mass and (A(Z,N)approx Z+N) the atomic mass number, with Z the number of protons and N the number of neutrons in the nucleus. The Dirac Hamiltonian for a test electron with mass (m_{textrm{e}}), charge (-,e), and anomalous magnetic moment (mu _a (approx -, frac{1}{4pi }frac{e^3}{m_{textrm{e}}c^2})) in the electrostatic RWN spacetime of such a “naked point nucleus” is known to be essentially self-adjoint, with a spectrum that consists of the union of the essential spectrum ((-,infty ,-,m_{textrm{e}}c^2]cup [m_{textrm{e}}c^2, infty )) and a discrete spectrum of infinitely many eigenvalues in the gap ((-,m_{textrm{e}}c^2,m_{textrm{e}}c^2)), having (m_{textrm{e}}c^2) as accumulation point. In this paper, the discrete spectrum is characterized in detail for the first time, for all (Zle 45) and A that cover all known isotopes. The eigenvalues are mapped one-to-one to those of the traditional Dirac hydrogen spectrum. Numerical evaluations that go beyond (Z=45) into the realm of not-yet-produced hydrogenic ions are presented, too. A list of challenging open problems concludes this publication.</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 2","pages":"609 - 643"},"PeriodicalIF":1.3,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01547-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339565","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}

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The Full Electroweak Interaction: An Autonomous Account 完全电弱相互作用：一个自治帐户

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-18 DOI: 10.1007/s00023-025-01540-8

José M. Gracia-Bondía, Karl-Henning Rehren, Joseph C. Várilly

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Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal 单粒子库仑密度矩阵在对角线上的五阶导数的有界性。

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-18 DOI: 10.1007/s00023-025-01548-0

Peter Hearnshaw

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Negative Eigenvalue Estimates for the 1D Schrödinger Operator with Measure-Potential 具有测量势的一维Schrödinger算子的负特征值估计。

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-17 DOI: 10.1007/s00023-025-01549-z

Robert Fulsche, Medet Nursultanov, Grigori Rozenblum

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The Pauli–Villars Regularised Free Energy of Dirac’s Vacuum in Purely Magnetic Fields 在纯磁场中，Pauli-Villars正则化了狄拉克真空的自由能

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-02-17 DOI: 10.1007/s00023-025-01544-4

Umberto Morellini

{"title":"The Pauli–Villars Regularised Free Energy of Dirac’s Vacuum in Purely Magnetic Fields","authors":"Umberto Morellini","doi":"10.1007/s00023-025-01544-4","DOIUrl":"10.1007/s00023-025-01544-4","url":null,"abstract":"<div>The Dirac vacuum is a nonlinear polarisable medium rather than an empty space. This nonlinear behaviour starts to be significant for extremely large electromagnetic fields such as the magnetic field on the surface of certain neutron stars. Even though the null temperature case was deeply studied in the past decades, the problem at nonzero temperature needs to be better understood. In this work, we present the first rigorous derivation of the one-loop effective magnetic Lagrangian at positive temperature, a nonlinear functional describing the free energy of the Dirac vacuum in a classical magnetic field. After introducing our model, we properly define the free energy functional using the Pauli–Villars regularisation technique in order to remove the worst ultraviolet divergences, which represent a well-known issue of the theory. The study of the properties of this functional is addressed before focusing on the limit of slowly varying classical magnetic fields. In this regime, we prove the convergence of this functional to the Euler–Heisenberg formula with thermal corrections, recovering the effective Lagrangian first derived by Dittrich (Phys Rev D 19:2385–2390, 1979).</div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 2","pages":"529 - 567"},"PeriodicalIF":1.3,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339723","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