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Annales Henri Poincaré最新文献

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The Characteristic Gluing Problem for the Einstein Vacuum Equations: Linear and Nonlinear Analysis 爱因斯坦真空方程的特性胶合问题：线性与非线性分析
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-12-07 DOI: 10.1007/s00023-023-01394-y
Stefanos Aretakis, Stefan Czimek, Igor Rodnianski
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引用次数: 0
Particle Trajectories for Quantum Maps 量子映射的粒子轨迹
IF 1.5 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-27 DOI: 10.1007/s00023-023-01387-x
Yonah Borns-Weil, Izak Oltman
{"title":"Particle Trajectories for Quantum Maps","authors":"Yonah Borns-Weil, Izak Oltman","doi":"10.1007/s00023-023-01387-x","DOIUrl":"https://doi.org/10.1007/s00023-023-01387-x","url":null,"abstract":"<p>We study the trajectories of a semiclassical quantum particle under repeated indirect measurement by Kraus operators, in the setting of the quantized torus. In between measurements, the system evolves via either Hamiltonian propagators or metaplectic operators. We show in both cases the convergence in total variation of the quantum trajectory to its corresponding classical trajectory, as defined by the propagation of a semiclassical defect measure. This convergence holds up to the Ehrenfest time of the classical system, which is larger when the system is “less chaotic.” In addition, we present numerical simulations of these effects. In proving this result, we provide a characterization of a type of semi-classical defect measure we call uniform defect measures. We also prove derivative estimates of a function composed with a flow on the torus.</p>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"117 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138539446","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: 1
Particle Trajectories for Quantum Maps 量子映射的粒子轨迹
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-27 DOI: 10.1007/s00023-023-01387-x
Yonah Borns-Weil, Izak Oltman
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引用次数: 0
Non-trivial Bundles and Algebraic Classical Field Theory 非平凡束与代数经典场论
IF 1.5 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-22 DOI: 10.1007/s00023-023-01386-y
Romeo Brunetti, Andrea Moro
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引用次数: 0
Non-trivial Bundles and Algebraic Classical Field Theory 非平凡束与代数经典场论
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-22 DOI: 10.1007/s00023-023-01386-y
Romeo Brunetti, Andrea Moro
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引用次数: 0
Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions rujsenaars双曲系统中的Baxter算子II:双谱波函数
IF 1.5 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-20 DOI: 10.1007/s00023-023-01385-z
N. Belousov, S. Derkachov, S. Kharchev, S. Khoroshkin
{"title":"Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions","authors":"N. Belousov, S. Derkachov, S. Kharchev, S. Khoroshkin","doi":"10.1007/s00023-023-01385-z","DOIUrl":"https://doi.org/10.1007/s00023-023-01385-z","url":null,"abstract":"<p>In the previous paper, we introduced a commuting family of Baxter <i>Q</i>-operators for the quantum Ruijsenaars hyperbolic system. In the present work, we show that the wave functions of the quantum system found by M. Hallnäs and S. Ruijsenaars also diagonalize Baxter operators. Using this property, we prove the conjectured duality relation for the wave function. As a corollary, we show that the wave function solves bispectral problems for pairs of dual Macdonald and Baxter operators. Besides, we prove the conjectured symmetry of the wave function with respect to spectral variables and obtain new integral representation for it.</p>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"7 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138539471","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
Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions rujsenaars双曲系统中的Baxter算子II:双谱波函数
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-20 DOI: 10.1007/s00023-023-01385-z
N. Belousov, S. Derkachov, S. Kharchev, S. Khoroshkin
{"title":"Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions","authors":"N. Belousov,&nbsp;S. Derkachov,&nbsp;S. Kharchev,&nbsp;S. Khoroshkin","doi":"10.1007/s00023-023-01385-z","DOIUrl":"10.1007/s00023-023-01385-z","url":null,"abstract":"<div><p>In the previous paper, we introduced a commuting family of Baxter <i>Q</i>-operators for the quantum Ruijsenaars hyperbolic system. In the present work, we show that the wave functions of the quantum system found by M. Hallnäs and S. Ruijsenaars also diagonalize Baxter operators. Using this property, we prove the conjectured duality relation for the wave function. As a corollary, we show that the wave function solves bispectral problems for pairs of dual Macdonald and Baxter operators. Besides, we prove the conjectured symmetry of the wave function with respect to spectral variables and obtain new integral representation for it.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"25 7","pages":"3259 - 3296"},"PeriodicalIF":1.4,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138539456","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
Correction to: Algebraic Approach to Casimir Force Between Two (delta )-like Potentials Correction to：两个类势能之间卡西米尔力的代数方法
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-10 DOI: 10.1007/s00023-023-01383-1
Kamil Ziemian
{"title":"Correction to: Algebraic Approach to Casimir Force Between Two (delta )-like Potentials","authors":"Kamil Ziemian","doi":"10.1007/s00023-023-01383-1","DOIUrl":"10.1007/s00023-023-01383-1","url":null,"abstract":"","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"25 2","pages":"1711 - 1712"},"PeriodicalIF":1.4,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-023-01383-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135137222","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
Entanglement Entropy of Ground States of the Three-Dimensional Ideal Fermi Gas in a Magnetic Field 磁场中三维理想费米气体基态的纠缠熵
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-07 DOI: 10.1007/s00023-023-01381-3
Paul Pfeiffer, Wolfgang Spitzer
{"title":"Entanglement Entropy of Ground States of the Three-Dimensional Ideal Fermi Gas in a Magnetic Field","authors":"Paul Pfeiffer,&nbsp;Wolfgang Spitzer","doi":"10.1007/s00023-023-01381-3","DOIUrl":"10.1007/s00023-023-01381-3","url":null,"abstract":"<div><p>We study the asymptotic growth of the entanglement entropy of ground states of non-interacting (spinless) fermions in <span>({{mathbb {R}}}^3)</span> subject to a constant magnetic field perpendicular to a plane. As for the case with no magnetic field we find, to leading order <span>(L^2ln (L))</span>, a logarithmically enhanced area law of this entropy for a bounded, piecewise Lipschitz region <span>(LLambda subset {{mathbb {R}}}^3)</span> as the scaling parameter <i>L</i> tends to infinity. This is in contrast to the two-dimensional case since particles can now move freely in the direction of the magnetic field, which causes the extra <span>(ln (L))</span> factor. The explicit expression for the coefficient of the leading order contains a surface integral similar to the Widom–Sobolev formula in the non-magnetic case. It differs, however, in the sense that the dependence on the boundary, <span>(partial Lambda )</span>, is not solely on its area but on the “surface perpendicular to the direction of the magnetic field”. We utilize a two-term asymptotic expansion by Widom (up to an error term of order one) of certain traces of one-dimensional Wiener–Hopf operators with a discontinuous symbol. This leads to an improved error term of the order <span>(L^2)</span> of the relevant trace for piecewise <span>(textsf{C}^{1,alpha })</span> smooth surfaces <span>(partial Lambda )</span>.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"25 8","pages":"3649 - 3698"},"PeriodicalIF":1.4,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-023-01381-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135475184","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
Reconstruction of Vertex Algebras in Even Higher Dimensions 顶点代数在更高维度上的重构
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2023-11-02 DOI: 10.1007/s00023-023-01384-0
Bojko N. Bakalov, Nikolay M. Nikolov
{"title":"Reconstruction of Vertex Algebras in Even Higher Dimensions","authors":"Bojko N. Bakalov,&nbsp;Nikolay M. Nikolov","doi":"10.1007/s00023-023-01384-0","DOIUrl":"10.1007/s00023-023-01384-0","url":null,"abstract":"<div><p>Vertex algebras in higher dimensions correspond to models of quantum field theory with global conformal invariance. Any vertex algebra in dimension <i>D</i> admits a restriction to a vertex algebra in any lower dimension and, in particular, to dimension one. In the case when <i>D</i> is even, we find natural conditions under which the converse passage is possible. These conditions include a unitary action of the conformal Lie algebra with a positive energy, which is given by local endomorphisms and obeys certain integrability properties.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"25 9","pages":"3927 - 3956"},"PeriodicalIF":1.4,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135933007","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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