Letters in Mathematical Physics最新文献_第3页

Rigidity of marginally outer trapped surfaces in charged initial data sets 带电初始数据集中边缘外捕获表面的刚性

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-04-15 DOI: 10.1007/s11005-025-01929-w

A. B. Lima, P. A. Sousa, R. M. Batista

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Weighted logarithmic Adam’s inequalities defined on the whole Euclidean space (mathbb {R}^{4}) and its applications to weighted biharmonic equations of Kirchhoff type 在整个欧几里德空间上定义的加权对数亚当不等式(mathbb {R}^{4})及其在Kirchhoff型加权双调和方程中的应用

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-04-07 DOI: 10.1007/s11005-025-01920-5

Sami Baraket, Brahim Dridi, Rached Jaidane, Wafa Mtaouaa

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Asymptotic higher spin symmetries I: covariant wedge algebra in gravity 渐近高自旋对称I：重力中的协变楔代数

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-04-04 DOI: 10.1007/s11005-025-01921-4

Nicolas Cresto, Laurent Freidel

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On the geometry of Lagrangian one-forms 关于拉格朗日一型的几何

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-03-29 DOI: 10.1007/s11005-025-01925-0

Vincent Caudrelier, Derek Harland

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Decomposition of global solutions for a class of nonlinear wave equations 一类非线性波动方程整体解的分解

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-03-28 DOI: 10.1007/s11005-025-01924-1

Georgios Mavrogiannis, Avy Soffer, Xiaoxu Wu

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Anyons on M5-probes of Seifert 3-orbifoldsvia flux quantization 通过通量量子化研究塞弗特3-轨道m5探针上的任意子

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-03-24 DOI: 10.1007/s11005-025-01918-z

Hisham Sati, Urs Schreiber

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Yang–Mills algebra and symmetry transformations of vertex operators 杨-米尔斯代数与顶点算子的对称变换

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-03-22 DOI: 10.1007/s11005-025-01922-3

Andrei Mikhailov

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Supersymmetric Klein–Gordon and Dirac oscillators 超对称Klein-Gordon和Dirac振子

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-03-22 DOI: 10.1007/s11005-025-01927-y

Alexander D. Popov

{"title":"Supersymmetric Klein–Gordon and Dirac oscillators","authors":"Alexander D. Popov","doi":"10.1007/s11005-025-01927-y","DOIUrl":"10.1007/s11005-025-01927-y","url":null,"abstract":"<div>We have recently shown that the space of initial data (covariant phase space) of the relativistic oscillator in Minkowski space (mathbb {R}^{3,1}) is a homogeneous Kähler–Einstein manifold (Z_6=textrm{AdS}_7/textrm{U}(1) =textrm{U}(3,1)/textrm{U}(3)times textrm{U}(1)). It was also shown that the energy eigenstates of the quantum relativistic oscillator form a direct sum of two weighted Bergman spaces of holomorphic (particles) and antiholomorphic (antiparticles) square-integrable functions on the covariant phase space (Z_6) of the classical oscillator. Here we show that the covariant phase space of the supersymmetric version of the relativistic oscillator (oscillating spinning particle) is the odd tangent bundle of the space (Z_6). Quantizing this model yields a Dirac oscillator equation on the phase space whose solution space is a direct sum of two spinor spaces parametrized by holomorphic and antiholomorphic functions on the odd tangent bundle of (Z_6). After expanding the general solution in Grassmann variables, we obtain components of the spinor field that are holomorphic and antiholomorphic functions from Bergman spaces on (Z_6) with different weight functions. Thus, the supersymmetric model under consideration is exactly solvable, Lorentz covariant and unitary.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01927-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143668386","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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On the thermodynamic limit of interacting fermions in the continuum 连续介质中费米子相互作用的热力学极限

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-03-21 DOI: 10.1007/s11005-025-01919-y

Oliver Siebert

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GAUSSIAN QUANTUM INFORMATION OVER GENERAL QUANTUM KINEMATICAL SYSTEMS I: GAUSSIAN STATES 一般量子运动系统的高斯量子信息i：高斯态

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-03-20 DOI: 10.1007/s11005-025-01908-1

Cédric Bény, Jason Crann, Hun Hee Lee, Sang-Jun Park, Sang-Gyun Youn

{"title":"GAUSSIAN QUANTUM INFORMATION OVER GENERAL QUANTUM KINEMATICAL SYSTEMS I: GAUSSIAN STATES","authors":"Cédric Bény, Jason Crann, Hun Hee Lee, Sang-Jun Park, Sang-Gyun Youn","doi":"10.1007/s11005-025-01908-1","DOIUrl":"10.1007/s11005-025-01908-1","url":null,"abstract":"<div>We develop a theory of Gaussian states over general quantum kinematical systems with finitely many degrees of freedom. The underlying phase space is described by a locally compact abelian (LCA) group G with a symplectic structure determined by a 2-cocycle on G. We use the concept of Gaussian distributions on LCA groups in the sense of Bernstein to define Gaussian states and completely characterize Gaussian states over 2-regular LCA groups of the form (G= Ftimes widehat{F}) endowed with a canonical normalized 2-cocycle. This covers, in particular, the case of n-bosonic modes, n-qudit systems with odd (dge 3), and p-adic quantum systems. Our characterization reveals a topological obstruction to Gaussian state entanglement when we decompose the quantum kinematical system into the Euclidean part and the remaining part (whose phase space admits a compact open subgroup). We then generalize the discrete Hudson theorem (Gross in J Math Phys 47(12):122107, 2006) to the case of totally disconnected 2-regular LCA groups. We also examine angle-number systems with phase space (mathbb {T}^ntimes mathbb {Z}^n) and fermionic/hard-core bosonic systems with phase space (mathbb {Z}^{2n}_2) (which are not 2-regular) and completely characterize their Gaussian states.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01908-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143655362","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