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Approximation of magnetic Schrödinger operators with (delta )-interactions supported on networks 网络上支持(delta ) -相互作用的磁性Schrödinger算子的逼近
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-28 DOI: 10.1007/s11005-026-02047-x
Markus Holzmann
{"title":"Approximation of magnetic Schrödinger operators with (delta )-interactions supported on networks","authors":"Markus Holzmann","doi":"10.1007/s11005-026-02047-x","DOIUrl":"10.1007/s11005-026-02047-x","url":null,"abstract":"<div><p>This paper deals with the approximation of a magnetic Schrödinger operator with a singular <span>(delta )</span>-potential that is formally given by <span>((i nabla + A)^2 + Q + alpha delta _Sigma )</span> by Schrödinger operators with regular potentials in the norm resolvent sense. This is done for <span>(Sigma )</span> being the finite union of <span>(C^2)</span>-hypersurfaces, for coefficients <i>A</i>, <i>Q</i>, and <span>(alpha )</span> under almost minimal assumptions such that the associated quadratic forms are closed and sectorial, and <i>Q</i> and <span>(alpha )</span> are allowed to be complex-valued functions. In particular, <span>(Sigma )</span> can be a graph in <span>(mathbb {R}^2)</span> or the boundary of a piecewise <span>(C^2)</span>-domain. Moreover, spectral implications of the mentioned convergence result are discussed.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02047-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342921","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
The flea on the Magnetic Elephant 跳蚤在磁象上。
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-27 DOI: 10.1007/s11005-026-02055-x
Pavel Exner, Léo Morin
{"title":"The flea on the Magnetic Elephant","authors":"Pavel Exner,&nbsp;Léo Morin","doi":"10.1007/s11005-026-02055-x","DOIUrl":"10.1007/s11005-026-02055-x","url":null,"abstract":"<div><p>We investigate a two-dimensional magnetic Laplacian with two radially symmetric magnetic wells. Its spectral properties are determined by the tunneling between them. If the tunneling is weak and the wells are mirror symmetric, the two lowest eigenfunctions are localized in both wells being distributed roughly equally. In this note, we show that an exponentially small symmetry violation can in this situation have a dramatic effect, making each of the eigenfunctions localized dominantly in one well only. This is reminiscent of the ‘flea on the elephant’ effect for Schrödinger operators; our result shows that it has a purely magnetic counterpart.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12948775/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147323900","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
Quantum curve for strip geometries, topological recursion and open GW/DT invariants 条带几何的量子曲线，拓扑递归和开GW/DT不变量
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-26 DOI: 10.1007/s11005-026-02059-7
Sibasish Banerjee, Alexander Hock
{"title":"Quantum curve for strip geometries, topological recursion and open GW/DT invariants","authors":"Sibasish Banerjee,&nbsp;Alexander Hock","doi":"10.1007/s11005-026-02059-7","DOIUrl":"10.1007/s11005-026-02059-7","url":null,"abstract":"<div><p>Open topological string partition function gives rise to open Gromov–Witten invariants, open Donaldson–Thomas invariants and 3D-5D BPS indices. Utilizing the remodeling conjecture which connects topological recursion and topological string theory, in this paper we study open topological string theory for the subclass of toric Calabi–Yau threefold known as strip geometries. For this purpose, certain new developments in the theory of topological recursion are applied as its extension to logarithmic topological recursion (Log-TR) and the universal <i>x</i>–<i>y</i> duality. Through this, we derive the open topological string partition function and also the associated quantum curve. We also explain how this is related to the open Donaldson–Thomas partition function associated with certain symmetric quivers, exponential networks and <i>q</i>-Barnes-type integrals. In the process, we also connect how 3D-5D wall-crossing affects these partition functions as one varies <i>x</i>, in examples.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342053","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
Rigidity results for free boundary hypersurfaces in initial data sets with boundary 具有边界的初始数据集的自由边界超曲面的刚性结果
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-23 DOI: 10.1007/s11005-026-02054-y
Deivid de Almeida, Abraão Mendes
{"title":"Rigidity results for free boundary hypersurfaces in initial data sets with boundary","authors":"Deivid de Almeida,&nbsp;Abraão Mendes","doi":"10.1007/s11005-026-02054-y","DOIUrl":"10.1007/s11005-026-02054-y","url":null,"abstract":"<div><p>In this work, we present several rigidity results for compact free boundary hypersurfaces in initial data sets with boundary. Specifically, in the first part of the paper, we extend the local splitting theorems from [G. J. Galloway and H. C. Jang, <i>Some scalar curvature warped product splitting theorems</i>, Proc. Am. Math. Soc. <b>148</b> (2020), no. 6,2617–2629] to the setting of manifolds with boundary. To achieve this, we build on the approach of the original paper, utilizing results on free boundary marginally outer trapped surfaces (MOTS) applied to specific initial data sets. In the second part, we extend the main results from [A. Barros and C. Cruz, <i>Free boundary hypersurfaces with non-positive Yamabe invariant in mean convex manifolds</i>, J. Geom. Anal. <b>30</b> (2020), no. 4, 3542–3562] to the context of free boundary MOTS in initial data sets with boundary.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02054-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341216","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
Existence of three nontrivial positive radial k-convex solutions to k-Hessian systems with singular weights 奇异权k-Hessian系统的三个非平凡正径向k-凸解的存在性
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-20 DOI: 10.1007/s11005-026-02057-9
Kiran Kumar Saha, Sweta Tiwari
{"title":"Existence of three nontrivial positive radial k-convex solutions to k-Hessian systems with singular weights","authors":"Kiran Kumar Saha,&nbsp;Sweta Tiwari","doi":"10.1007/s11005-026-02057-9","DOIUrl":"10.1007/s11005-026-02057-9","url":null,"abstract":"<div><p>In this paper, we investigate a nonlinear system of <i>n</i> coupled <i>k</i>-Hessian equations with singular weight functions. By employing the Leggett-Williams fixed-point theorem, we establish new sufficient conditions for the existence of at least three nontrivial positive radial <i>k</i>-convex solutions. Finally, an example is provided to illustrate the main result.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147340735","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
Shifted Poisson structures on higher Chevalley–Eilenberg algebras 高Chevalley-Eilenberg代数上的位移泊松结构。
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-18 DOI: 10.1007/s11005-026-02053-z
Cameron Kemp, Robert Laugwitz, Alexander Schenkel
{"title":"Shifted Poisson structures on higher Chevalley–Eilenberg algebras","authors":"Cameron Kemp,&nbsp;Robert Laugwitz,&nbsp;Alexander Schenkel","doi":"10.1007/s11005-026-02053-z","DOIUrl":"10.1007/s11005-026-02053-z","url":null,"abstract":"<div><p>This paper develops a graphical calculus to determine the <i>n</i>-shifted Poisson structures on finitely generated semi-free commutative differential graded algebras. When applied to the Chevalley–Eilenberg algebra of an ordinary Lie algebra, we recover Safronov’s result that the <span>((n=1))</span>- and <span>((n=2))</span>-shifted Poisson structures in this case are given by quasi-Lie bialgebra structures and, respectively, invariant symmetric tensors. We generalize these results to the Chevalley–Eilenberg algebra of a Lie 2-algebra and obtain <span>(nin {1,2,3,4})</span> shifted Poisson structures in this case, which we interpret as semi-classical data of ‘higher quantum groups’.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12916504/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147269361","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
Relationship between a (Phi ^4) matrix model and harmonic oscillator systems (Phi ^4)矩阵模型与谐振子系统的关系
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-17 DOI: 10.1007/s11005-026-02049-9
Harald Grosse, Naoyuki Kanomata, Akifumi Sako, Raimar Wulkenhaar
{"title":"Relationship between a (Phi ^4) matrix model and harmonic oscillator systems","authors":"Harald Grosse,&nbsp;Naoyuki Kanomata,&nbsp;Akifumi Sako,&nbsp;Raimar Wulkenhaar","doi":"10.1007/s11005-026-02049-9","DOIUrl":"10.1007/s11005-026-02049-9","url":null,"abstract":"<div><p>A Hermitian <span>(Phi ^4)</span> matrix model with a Kontsevich-type kinetic term is studied. It was recently discovered that the partition function of this matrix model satisfies the Schrödinger equation of the <i>N</i>-body harmonic oscillator, and that eigenstates of the Virasoro operators can be derived from this partition function. We extend these results and obtain an explicit formula for such eigenstates in terms of the free energy. Furthermore, the Schrödinger equation for the <i>N</i>-body harmonic oscillator can also be reformulated in terms of connected correlation functions. The <span>(U(1)^N)</span>-symmetry allows us to derive loop equations.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02049-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339888","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
The Penrose singularity theorem, MOTS stability, and horizon topology in weighted spacetimes 加权时空中的Penrose奇点定理、MOTS稳定性和视界拓扑
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-16 DOI: 10.1007/s11005-026-02050-2
Eric Ling, Argam Ohanyan, Eric Woolgar
{"title":"The Penrose singularity theorem, MOTS stability, and horizon topology in weighted spacetimes","authors":"Eric Ling,&nbsp;Argam Ohanyan,&nbsp;Eric Woolgar","doi":"10.1007/s11005-026-02050-2","DOIUrl":"10.1007/s11005-026-02050-2","url":null,"abstract":"<div><p>We consider versions of the Penrose singularity theorem and the Hawking horizon topology theorem in weighted spacetimes that contain weighted versions of trapped surfaces, for arbitrary spacetime dimension and synthetic dimension. We find that suitable generalizations of the unweighted theorems hold under weighted energy conditions. Our results also provide further evidence in favour of a weighted scalar curvature that differs from the trace of the weighted Ricci curvature. When the synthetic dimension is a positive integer, these weighted curvatures have a natural interpretation in terms of warped product metrics.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339355","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
Kinematical Lie algebras and symplectic symmetric spaces I Lie algebraic aspects 运动李代数与辛对称空间I李代数方面
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-10 DOI: 10.1007/s11005-025-02041-9
Pierre Bieliavsky, Nicolas Boulanger
{"title":"Kinematical Lie algebras and symplectic symmetric spaces I Lie algebraic aspects","authors":"Pierre Bieliavsky,&nbsp;Nicolas Boulanger","doi":"10.1007/s11005-025-02041-9","DOIUrl":"10.1007/s11005-025-02041-9","url":null,"abstract":"<div><p>The aim of this note is to present a close relation between kinematical Lie algebras and symmetric spaces in a symplectic context: to every kinematical Lie algebra is canonically associated a symplectic symmetric space. For non-flat symmetric spaces, this correspondence is one to one onto a specific class of symplectic symmetric spaces whose structure we describe in detail. In particular, the transvection Lie algebra of such a symmetric space is either three-graded or of the Poincaré type. The denomination “Poincaré type” refers to symplectic symmetric spaces characterized by a property that generalizes the fact that the classical Poincaré group <span>(SO_o(1,D)ltimes mathbb {R}^{D+1})</span> turns out to be the transvection group of an unexpected purely symplectic symmetric space structure on the cotangent bundle of the hyperbolic space <span>(SO_o(1,D)/SO(D))</span> (i.e. the mass-shell orbit). The Lie triple system associated with every such symplectic symmetric space is of Jordan type (in the sense of W. Bertram), i.e. it is a homotope of the Lie triple system associated with a Hermitian symmetric space. However, the class of those Jordan-Lie triple systems associated with a classical kinematical Lie algebra is not stable under the natural operations of homotopies and dualities defined on Jordan-Lie triple systems. In order to restore stability, we need to introduce a natural generalization of the notion of kinematical Lie algebras, which is the framework where the present work is formulated. The last section of this work presents some remarks on the coadjoint orbits that are naturally associated with symplectic symmetric spaces.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338406","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
Fredholm determinants from Schrödinger-type equations, and deformation of Tracy–Widom distribution Schrödinger-type方程中的Fredholm行列式，以及Tracy-Widom分布的变形
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-02 DOI: 10.1007/s11005-025-02034-8
Taro Kimura, Xavier Navand
{"title":"Fredholm determinants from Schrödinger-type equations, and deformation of Tracy–Widom distribution","authors":"Taro Kimura,&nbsp;Xavier Navand","doi":"10.1007/s11005-025-02034-8","DOIUrl":"10.1007/s11005-025-02034-8","url":null,"abstract":"<div><p>We undertake an analysis of Fredholm determinants arising from kernels whose defining functions satisfy a Schrödinger-type equation. When this defining function is the Airy one, the evaluation of the corresponding Fredholm determinant yields the ubiquitous Tracy–Widom distribution Tracy and Widom (Commun Math Phys 159(1610):151–174, (1994). https://doi.org/10.1007/BF02100489 , which has found many applications in numerous domains. In this paper, we unveil a generalization of the Tracy–Widom distribution for a generic class of defining functions. Furthermore, we bring forth a direct application of our upshot and survey the relation between the framework which we employ and isomonodromic systems.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147335981","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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