Letters in Mathematical Physics最新文献

High-frequency two-dimensional asymptotic standing coastal trapped waves in nearly integrable case 近可积情况下高频二维渐近驻岸困波

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-18 DOI: 10.1007/s11005-025-01895-3

Vladislav Rykhlov, Anatoly Anikin

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The non-linear steepest descent approach to the singular asymptotics of the sinh-Gordon reduction of the Painlevé III equation painleve3方程sinh-Gordon约简奇异渐近性的非线性最陡下降方法

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-13 DOI: 10.1007/s11005-024-01892-y

Alexander R. Its, Kenta Miyahara, Maxim L. Yattselev

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Special issue honouring Mary Beth Ruskai 纪念玛丽·贝丝·鲁斯凯的特刊

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-01-04 DOI: 10.1007/s11005-024-01891-z

Andreas Winter, Bruno Nachtergaele, Matthias Christandl, Fumio Hiai, Graeme Smith, Simone Warzel

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Ruijsenaars duality for (B, C, D) Toda chains (B, C, D) Toda链的rujsenaars对偶性

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-28 DOI: 10.1007/s11005-024-01890-0

Ivan Sechin, Mikhail Vasilev

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The covariant Stone–von Neumann theorem for locally compact quantum groups 局部紧量子群的协变Stone-von Neumann定理

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-19 DOI: 10.1007/s11005-024-01886-w

Lucas Hall, Leonard Huang, Jacek Krajczok, Mariusz Tobolski

{"title":"The covariant Stone–von Neumann theorem for locally compact quantum groups","authors":"Lucas Hall, Leonard Huang, Jacek Krajczok, Mariusz Tobolski","doi":"10.1007/s11005-024-01886-w","DOIUrl":"10.1007/s11005-024-01886-w","url":null,"abstract":"<div><p>The Stone–von Neumann theorem is a fundamental result which unified the competing quantum-mechanical models of matrix mechanics and wave mechanics. In this article, we continue the broad generalization set out by Huang and Ismert and by Hall, Huang, and Quigg, analyzing representations of locally compact quantum-dynamical systems defined on Hilbert modules, of which the classical result is a special case. We introduce a pair of modular representations which subsume numerous models available in the literature and, using the classical strategy of Rieffel, prove a Stone–von Neumann-type theorem for maximal actions of regular locally compact quantum groups on elementary C*-algebras. In particular, we generalize the Mackey–Stone–von Neumann theorem to regular locally compact quantum groups whose trivial actions on <span>(mathbb {C})</span> are maximal and recover the multiplicity results of Hall, Huang, and Quigg. With this characterization in hand, we prove our main result showing that if a dynamical system <span>((mathbb {G},A,alpha ))</span> satisfies the multiplicity assumption of the generalized Stone–von Neumann theorem, and if the coefficient algebra <i>A</i> admits a faithful state, then the spectrum of the iterated crossed product <span>(widehat{mathbb {G}}^textrm{op}ltimes (mathbb {G}ltimes A))</span> consists of a single point. In the case of a separable coefficient algebra or a regular acting quantum group, we further characterize features of this system, and thus obtain a partial converse to the Stone–von Neumann theorem in the quantum group setting. As a corollary, we show that a regular locally compact quantum group satisfies the generalized Stone–von Neumann theorem if and only if it is strongly regular.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142859812","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

On the effect of derivative interactions in quantum field theory 论量子场论中导数相互作用的影响

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-19 DOI: 10.1007/s11005-024-01889-7

Karl-Henning Rehren

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Lax structure and tau function for large BKP hierarchy 大型 BKP 层次结构的松弛结构和 tau 函数

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-16 DOI: 10.1007/s11005-024-01888-8

Wenchuang Guan, Shen Wang, Wenjuan Rui, Jipeng Cheng

{"title":"Lax structure and tau function for large BKP hierarchy","authors":"Wenchuang Guan, Shen Wang, Wenjuan Rui, Jipeng Cheng","doi":"10.1007/s11005-024-01888-8","DOIUrl":"10.1007/s11005-024-01888-8","url":null,"abstract":"<div><p>In this paper, we mainly investigate Lax structure and tau function for the large BKP hierarchy, which is also known as Toda hierarchy of B type. Firstly, the large BKP hierarchy can be derived from fermionic BKP hierarchy by using a special bosonization, which is presented in the form of bilinear equation. Then from bilinear equation, the corresponding Lax equation is given, where in particular the relation of flow generator with Lax operator is obtained. Also starting from Lax equation, the corresponding bilinear equation and existence of tau function are discussed. After that, large BKP hierarchy is viewed as sub-hierarchy of modified Toda (mToda) hierarchy, also called two-component first modified KP hierarchy. Finally by using two basic Miura transformations from mToda to Toda, we understand two typical relations between large BKP tau function <span>(tau _n(textbf{t}))</span> and Toda tau function <span>(tau _n^textrm{Toda}(textbf{t},-textbf{t}))</span>, that is, <span>(tau _n^{textrm{Toda}}(textbf{t},-{textbf{t}})=tau _n(textbf{t})tau _{n-1}(textbf{t}))</span> and <span>(tau _n^{textrm{Toda}}(textbf{t},-{textbf{t}})=tau _n^2(textbf{t}))</span>. Further, we find <span>(big (tau _n(textbf{t})tau _{n-1}(textbf{t}),tau _n^2(textbf{t})big ))</span> satisfies bilinear equation of mToda hierarchy.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826241","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

Marginally outer trapped tubes in de Sitter spacetime 德西特时空中的边缘外困管

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-13 DOI: 10.1007/s11005-024-01884-y

Marc Mars, Carl Rossdeutscher, Walter Simon, Roland Steinbauer

{"title":"Marginally outer trapped tubes in de Sitter spacetime","authors":"Marc Mars, Carl Rossdeutscher, Walter Simon, Roland Steinbauer","doi":"10.1007/s11005-024-01884-y","DOIUrl":"10.1007/s11005-024-01884-y","url":null,"abstract":"<div><p>We prove two results which are relevant for constructing marginally outer trapped tubes (MOTTs) in de Sitter spacetime. The first one (Theorem 1) holds more generally, namely for spacetimes satisfying the null convergence condition and containing a timelike conformal Killing vector with a “temporal function”. We show that all marginally outer trapped surfaces (MOTSs) in such a spacetime are unstable. This prevents application of standard results on the propagation of stable MOTSs to MOTTs. On the other hand, it was shown recently, Charlton et al. (minimal surfaces and alternating multiple zetas, arXiv:2407.07130), that for every sufficiently high genus, there exists a smooth, complete family of CMC surfaces embedded in the round 3-sphere <span>(mathbb {S}^3)</span>. This family connects a Lawson minimal surface with a doubly covered geodesic 2-sphere. We show (Theorem 2) by a simple scaling argument that this result translates to an existence proof for complete MOTTs with CMC sections in de Sitter spacetime. Moreover, the area of these sections increases strictly monotonically. We compare this result with an area law obtained before for holographic screens.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01884-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142821466","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

Universal enveloping algebras of Lie–Rinehart algebras: crossed products, connections, and curvature 李-莱因哈特代数的全称包络代数：交叉积、连接和曲率

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-12 DOI: 10.1007/s11005-024-01876-y

Xavier Bekaert, Niels Kowalzig, Paolo Saracco

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Appell–Lerch sums and (mathcal {N}=2) moduli abel - lerch和和(mathcal {N}=2)模

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-12-10 DOI: 10.1007/s11005-024-01887-9

Emile Bouaziz

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