Letters in Mathematical Physics最新文献_第10页

Wick-type deformation quantization of contact metric manifolds 接触元流形的维克型变形量子化

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-03-07 DOI: 10.1007/s11005-024-01787-y

Boris M. Elfimov, Alexey A. Sharapov

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Norm convergence of confined fermionic systems at zero temperature 零温下约束费米子系统的规范收敛性

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-03-07 DOI: 10.1007/s11005-024-01785-0

Esteban Cárdenas

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Some new perspectives on the Kruskal–Szekeres extension with applications to photon surfaces 应用于光子表面的克鲁斯卡尔-塞克斯扩展的一些新观点

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-03-07 DOI: 10.1007/s11005-024-01779-y

Carla Cederbaum, Markus Wolff

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Twisted index on hyperbolic four-manifolds 双曲四曲面上的扭曲指数

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-03-07 DOI: 10.1007/s11005-024-01788-x

Daniele Iannotti, Antonio Pittelli

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Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory 洛伦兹自由 BV 理论的量子化：因式分解代数与代数量子场论

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-02-26 DOI: 10.1007/s11005-024-01784-1

Marco Benini, Giorgio Musante, Alexander Schenkel

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Some characterizations of compact Einstein-type manifolds 紧凑爱因斯坦型流形的一些特征

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-02-24 DOI: 10.1007/s11005-024-01786-z

Maria Andrade, Ana Paula de Melo

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Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems 有限维可积分系统共轭轨道上的拉格朗日多形态

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-02-19 DOI: 10.1007/s11005-023-01766-9

Vincent Caudrelier, Marta Dell’Atti, Anup Anand Singh

{"title":"Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems","authors":"Vincent Caudrelier, Marta Dell’Atti, Anup Anand Singh","doi":"10.1007/s11005-023-01766-9","DOIUrl":"10.1007/s11005-023-01766-9","url":null,"abstract":"<div>Lagrangian multiforms provide a variational framework to describe integrable hierarchies. The case of Lagrangian 1-forms covers finite-dimensional integrable systems. We use the theory of Lie dialgebras introduced by Semenov-Tian-Shansky to construct a Lagrangian 1-form. Given a Lie dialgebra associated with a Lie algebra (mathfrak {g}) and a collection (H_k), (k=1,dots ,N), of invariant functions on (mathfrak {g}^*), we give a formula for a Lagrangian multiform describing the commuting flows for (H_k) on a coadjoint orbit in (mathfrak {g}^*). We show that the Euler–Lagrange equations for our multiform produce the set of compatible equations in Lax form associated with the underlying r-matrix of the Lie dialgebra. We establish a structural result which relates the closure relation for our multiform to the Poisson involutivity of the Hamiltonians (H_k) and the so-called double zero on the Euler–Lagrange equations. The construction is extended to a general coadjoint orbit by using reduction from the free motion of the cotangent bundle of a Lie group. We illustrate the dialgebra construction of a Lagrangian multiform with the open Toda chain and the rational Gaudin model. The open Toda chain is built using two different Lie dialgebra structures on (mathfrak {sl}(N+1)). The first one possesses a non-skew-symmetric r-matrix and falls within the Adler–Kostant–Symes scheme. The second one possesses a skew-symmetric r-matrix. In both cases, the connection with the well-known descriptions of the chain in Flaschka and canonical coordinates is provided.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-023-01766-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139903151","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

Double Poisson brackets and involutive representation spaces 双泊松括弧和非累加表示空间

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-02-18 DOI: 10.1007/s11005-024-01782-3

Grigori Olshanski, Nikita Safonkin

{"title":"Double Poisson brackets and involutive representation spaces","authors":"Grigori Olshanski, Nikita Safonkin","doi":"10.1007/s11005-024-01782-3","DOIUrl":"10.1007/s11005-024-01782-3","url":null,"abstract":"<div>Let (Bbbk ) be an algebraically closed field of characteristic 0 and A be a finitely generated associative (Bbbk )-algebra, in general noncommutative. One assigns to A a sequence of commutative (Bbbk )-algebras (mathcal {O}(A,d)), (d=1,2,3,dots ), where (mathcal {O}(A,d)) is the coordinate ring of the space ({text {Rep}}(A,d)) of d-dimensional representations of the algebra A. A double Poisson bracket on A in the sense of Van den Bergh (Trans Am Math Soc 360:5711–5799, 2008) is a bilinear map ({!{-,-}!}) from (Atimes A) to (A^{otimes 2}), subject to certain conditions. Van den Bergh showed that any such bracket ({!{-,-}!}) induces Poisson structures on all algebras (mathcal {O}(A,d)). We propose an analog of Van den Bergh’s construction, which produces Poisson structures on the coordinate rings of certain subspaces of the representation spaces ({text {Rep}}(A,d)). We call these subspaces the involutive representation spaces. They arise by imposing an additional symmetry condition on ({text {Rep}}(A,d))—just as the classical groups from the series B, C, D are obtained from the general linear groups (series A) as fixed point sets of involutive automorphisms.\u0000</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139903013","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

Recoverability of quantum channels via hypothesis testing 通过假设检验恢复量子信道的可恢复性

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-02-16 DOI: 10.1007/s11005-024-01775-2

Anna Jenčová

引用次数: 0

A note on two-times measurement entropy production and modular theory 关于两次测量熵产生和模块理论的说明

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-02-16 DOI: 10.1007/s11005-024-01777-0

T. Benoist, L. Bruneau, V. Jakšić, A. Panati, C.-A. Pillet

{"title":"A note on two-times measurement entropy production and modular theory","authors":"T. Benoist, L. Bruneau, V. Jakšić, A. Panati, C.-A. Pillet","doi":"10.1007/s11005-024-01777-0","DOIUrl":"10.1007/s11005-024-01777-0","url":null,"abstract":"<div>Recent theoretical investigations of the two-times measurement entropy production (2TMEP) in quantum statistical mechanics have shed a new light on the mathematics and physics of the quantum mechanical probabilistic rules. Among notable developments are the extensions of entropic fluctuation relations to the quantum domain and the discovery of a deep link between 2TMEP and modular theory of operator algebras. All these developments concerned the setting where the state of the system at the instant of the first measurement is the same as the state whose entropy production is measured. In this work, we consider the case where these two states are different and link this more general 2TMEP to modular theory. The established connection allows us to show that under general ergodicity assumptions the 2TMEP is essentially independent of the choice of the system state at the instant of the first measurement due to a decoherence effect induced by the first measurement. This stability sheds a new light on the concept of quantum entropy production and, in particular, on possible quantum formulations of the celebrated classical Gallavotti–Cohen Fluctuation Theorem which will be studied in a continuation of this work.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139771033","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