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Letters in Mathematical Physics最新文献

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On an orthogonal polynomial sequence and its recurrence coefficients 论正交多项式序列及其递推系数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-04-12 DOI: 10.1007/s11005-024-01801-3
D. Mbouna
{"title":"On an orthogonal polynomial sequence and its recurrence coefficients","authors":"D. Mbouna","doi":"10.1007/s11005-024-01801-3","DOIUrl":"10.1007/s11005-024-01801-3","url":null,"abstract":"<div><p>We provide a simple method to recognize a classical orthogonal polynomial sequence on a <i>q</i>-quadratic lattice defined only by the three-term recurrence relation. It is pointed out that this can be extended to all orthogonal polynomials in the <i>q</i>-Askey scheme.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589099","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
Convolution semigroups on Rieffel deformations of locally compact quantum groups 局部紧凑量子群里费尔变形上的卷积半群
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-04-08 DOI: 10.1007/s11005-024-01797-w
Adam Skalski, Ami Viselter
{"title":"Convolution semigroups on Rieffel deformations of locally compact quantum groups","authors":"Adam Skalski,&nbsp;Ami Viselter","doi":"10.1007/s11005-024-01797-w","DOIUrl":"10.1007/s11005-024-01797-w","url":null,"abstract":"<div><p>Consider a locally compact quantum group <span>(mathbb {G})</span> with a closed classical abelian subgroup <span>(Gamma )</span> equipped with a 2-cocycle <span>(Psi :hat{Gamma }times hat{Gamma }rightarrow mathbb {C})</span>. We study in detail the associated Rieffel deformation <span>(mathbb {G}^{Psi })</span> and establish a canonical correspondence between <span>(Gamma )</span>-invariant convolution semigroups of states on <span>(mathbb {G})</span> and on <span>(mathbb {G}^{Psi })</span>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589191","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
(theta )-splitting densities and reflection positivity $$theta $$ -分裂密度和反射正性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-04-08 DOI: 10.1007/s11005-024-01799-8
Jobst Ziebell
{"title":"(theta )-splitting densities and reflection positivity","authors":"Jobst Ziebell","doi":"10.1007/s11005-024-01799-8","DOIUrl":"10.1007/s11005-024-01799-8","url":null,"abstract":"<div><p>A simple condition is given that is sufficient to determine whether a measure that is absolutely continuous with respect to a Gaußian measure on the space of distributions is reflection positive. It readily generalises conventional lattice results to an abstract setting, enabling the construction of many reflection positive measures that are not supported on lattices.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01799-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589292","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
Pickl’s proof of the quantum mean-field limit and quantum Klimontovich solutions 皮克尔对量子均场极限和量子克里蒙托维奇解的证明
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-04-06 DOI: 10.1007/s11005-023-01768-7
Immanuel Ben Porat, François Golse
{"title":"Pickl’s proof of the quantum mean-field limit and quantum Klimontovich solutions","authors":"Immanuel Ben Porat,&nbsp;François Golse","doi":"10.1007/s11005-023-01768-7","DOIUrl":"10.1007/s11005-023-01768-7","url":null,"abstract":"<div><p>This paper discusses the mean-field limit for the quantum dynamics of <i>N</i> identical bosons in <span>({textbf{R}}^3)</span> interacting via a binary potential with Coulomb-type singularity. Our approach is based on the theory of quantum Klimontovich solutions defined in Golse and Paul (Commun Math Phys 369:1021–1053, 2019) . Our first main result is a definition of the interaction nonlinearity in the equation governing the dynamics of quantum Klimontovich solutions for a class of interaction potentials slightly less general than those considered in Kato (Trans Am Math Soc 70:195–211, 1951). Our second main result is a new operator inequality satisfied by the quantum Klimontovich solution in the case of an interaction potential with Coulomb-type singularity. When evaluated on an initial bosonic pure state, this operator inequality reduces to a Gronwall inequality for a functional introduced in Pickl (Lett Math Phys 97:151-164, 2011), resulting in a convergence rate estimate for the quantum mean-field limit leading to the time-dependent Hartree equation.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-023-01768-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589298","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
Orthosymplectic superoscillator Lax matrices 正交折中超振荡器拉克斯矩阵
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-29 DOI: 10.1007/s11005-024-01789-w
Rouven Frassek, Alexander Tsymbaliuk
{"title":"Orthosymplectic superoscillator Lax matrices","authors":"Rouven Frassek,&nbsp;Alexander Tsymbaliuk","doi":"10.1007/s11005-024-01789-w","DOIUrl":"10.1007/s11005-024-01789-w","url":null,"abstract":"<div><p>We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic <i>R</i>-matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in Frassek (Nuclear Phys B, 2020), Frassek and Tsymbaliuk (Commun Math Phys 392 (2):545–619, 2022), Frassek et al. (Commun Math Phys 400 (1):1–82, 2023). We further establish factorisation formulas among the presented solutions.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589252","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
Bogoyavlensky–modified KdV hierarchy and toroidal Lie algebra (textrm{sl}^textrm{tor}_{2}) Bogoyavlensky 修正的 KdV 层次结构和环状李代数 $$textrm{sl}^textrm{tor}_{2}$$
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-29 DOI: 10.1007/s11005-024-01798-9
Yi Yang, Jipeng Cheng
{"title":"Bogoyavlensky–modified KdV hierarchy and toroidal Lie algebra (textrm{sl}^textrm{tor}_{2})","authors":"Yi Yang,&nbsp;Jipeng Cheng","doi":"10.1007/s11005-024-01798-9","DOIUrl":"10.1007/s11005-024-01798-9","url":null,"abstract":"<div><p>By principal representation of toroidal Lie algebra <span>(mathrm{sl^{tor}_2})</span>, we construct an integrable system: Bogoyavlensky–modified KdV (B–mKdV) hierarchy, which is <span>((2+1))</span>-dimensional generalization of modified KdV hierarchy. Firstly, bilinear equations of B–mKdV hierarchy are obtained by fermionic representation of <span>(mathrm{sl^{tor}_2})</span> and boson–fermion correspondence, which are rewritten into Hirota bilinear forms. Also Fay-like identities of B–mKdV hierarchy are derived. Then from B–mKdV bilinear equations, we investigate Lax structure, which is another equivalent formulation of B–mKdV hierarchy. Conversely, we also derive B–mKdV bilinear equations from Lax structure. Other equivalent formulations of wave functions and dressing operator are needed when discussing bilinear equations and Lax structure. After that, Miura links between Bogoyavlensky–KdV hierarchy and B–mKdV hierarchy are discussed. Finally, we construct soliton solutions of B–mKdV hierarchy.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140366949","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
Integrability of ( Phi ^4) matrix model as N-body harmonic oscillator system 作为 N 体谐波振荡器系统的 $$Phi ^4$$ 矩阵模型的可积分性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-25 DOI: 10.1007/s11005-024-01783-2
Harald Grosse, Akifumi Sako
{"title":"Integrability of ( Phi ^4) matrix model as N-body harmonic oscillator system","authors":"Harald Grosse,&nbsp;Akifumi Sako","doi":"10.1007/s11005-024-01783-2","DOIUrl":"10.1007/s11005-024-01783-2","url":null,"abstract":"<div><p>We study a Hermitian matrix model with a kinetic term given by <span>( Tr (H Phi ^2 ))</span>, where <i>H</i> is a positive definite Hermitian matrix, similar as in the Kontsevich Matrix model, but with its potential <span>(Phi ^3)</span> replaced by <span>(Phi ^4)</span>. We show that its partition function solves an integrable Schrödinger-type equation for a non-interacting <i>N</i>-body Harmonic oscillator system.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01783-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140297518","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
Chiral random band matrices at zero energy 零能量下的手性随机带矩阵
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-25 DOI: 10.1007/s11005-024-01796-x
Jacob Shapiro
{"title":"Chiral random band matrices at zero energy","authors":"Jacob Shapiro","doi":"10.1007/s11005-024-01796-x","DOIUrl":"10.1007/s11005-024-01796-x","url":null,"abstract":"<div><p>We present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin <span>(sqrt{N})</span>-conjecture (Phys Rev Lett 67(18):2405, 1991) can be established very simply.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140297723","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
Invariant theory of (imath )quantum groups of type AIII AIII 型 $$imath $$ 量子群的不变理论
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-18 DOI: 10.1007/s11005-024-01790-3
Li Luo, Zheming Xu
{"title":"Invariant theory of (imath )quantum groups of type AIII","authors":"Li Luo,&nbsp;Zheming Xu","doi":"10.1007/s11005-024-01790-3","DOIUrl":"10.1007/s11005-024-01790-3","url":null,"abstract":"<div><p>We develop an invariant theory of quasi-split <span>(imath )</span>quantum groups <span>({textbf {U}} _n^imath )</span> of type AIII on a tensor space associated to <span>(imath )</span>Howe dualities. The first and second fundamental theorems for <span>({textbf {U}} _n^imath )</span>-invariants are derived.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149897","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 density of 2D critical percolation gaskets and anchored clusters 关于二维临界渗流垫圈和锚定集群的密度
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-03-15 DOI: 10.1007/s11005-024-01793-0
Federico Camia
{"title":"On the density of 2D critical percolation gaskets and anchored clusters","authors":"Federico Camia","doi":"10.1007/s11005-024-01793-0","DOIUrl":"10.1007/s11005-024-01793-0","url":null,"abstract":"<div><p>We prove a formula, first obtained by Kleban, Simmons and Ziff using conformal field theory methods, for the (renormalized) density of a critical percolation cluster in the upper half-plane “anchored” to a point on the real line. The proof is inspired by the method of images. We also show that more general bulk-boundary connection probabilities have well-defined, scale-covariant scaling limits and prove a formula for the scaling limit of the (renormalized) density of the critical percolation gasket in any domain conformally equivalent to the unit disk.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149764","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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