Letters in Mathematical Physics最新文献_第10页

The linear BBM-equation on the half-line, revisited 半线上的线性 BBM 问题再探讨

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-07-01 DOI: 10.1007/s11005-024-01820-0

J. L. Bona, A. Chatziafratis, H. Chen, S. Kamvissis

{"title":"The linear BBM-equation on the half-line, revisited","authors":"J. L. Bona, A. Chatziafratis, H. Chen, S. Kamvissis","doi":"10.1007/s11005-024-01820-0","DOIUrl":"10.1007/s11005-024-01820-0","url":null,"abstract":"<div>This note is concerned with the linear BBM equation on the half-line. Its nonlinear counterpart originally arose as a model for surface water waves in a channel. This model was later shown to have considerable predictive power in the context of waves generated by a periodically moving wavemaker at one end of a long channel. Theoretical studies followed that dealt with qualitative properties of solutions in the idealized situation of periodic Dirichlet boundary conditions imposed at one end of an infinitely long channel. One notable outcome of these works is the property that solutions become asymptotically periodic as a function of time at any fixed point x in the channel, a property that was suggested by the experimental outcomes. The earlier theory is here generalized using complex-variable methods. The approach is based on the rigorous implementation of the Fokas unified transform method. Exact solutions of the forced linear problem are written in terms of contour integrals and analyzed for more general boundary conditions. For (mathcal C^infty )-data satifisying a single compatibility condition, global solutions obtain. For Dirichlet and Neumann boundary conditions, asymptotic periodicity still holds. However, for Robin boundary conditions, we find not only that solutions lack asymptotic periodicity, but they in fact display instability, growing in amplitude exponentially in time.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506224","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

Algorithm for differential equations for Feynman integrals in general dimensions 一般维度费曼积分微分方程算法

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-26 DOI: 10.1007/s11005-024-01832-w

Leonardo de la Cruz, Pierre Vanhove

引用次数: 0

When quantum memory is useful for dense coding 量子存储器何时可用于密集编码

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-22 DOI: 10.1007/s11005-024-01831-x

Ryuji Takagi, Masahito Hayashi

引用次数: 0

D-module techniques for solving differential equations in the context of Feynman integrals 费曼积分背景下求解微分方程的 D 模块技术

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-21 DOI: 10.1007/s11005-024-01835-7

Johannes Henn, Elizabeth Pratt, Anna-Laura Sattelberger, Simone Zoia

引用次数: 0

Geometry of entanglement and separability in Hilbert subspaces of dimension up to three 三维以内希尔伯特子空间中的纠缠几何与可分性

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-21 DOI: 10.1007/s11005-024-01816-w

Rotem Liss, Tal Mor, Andreas Winter

{"title":"Geometry of entanglement and separability in Hilbert subspaces of dimension up to three","authors":"Rotem Liss, Tal Mor, Andreas Winter","doi":"10.1007/s11005-024-01816-w","DOIUrl":"10.1007/s11005-024-01816-w","url":null,"abstract":"<div>We present a complete classification of the geometry of the mutually complementary sets of entangled and separable states in three-dimensional Hilbert subspaces of bipartite and multipartite quantum systems. Our analysis begins by finding the geometric structure of the pure product states in a given three-dimensional Hilbert subspace, which determines all the possible separable and entangled mixed states over the same subspace. In bipartite systems, we characterise the 14 possible qualitatively different geometric shapes for the set of separable states in any three-dimensional Hilbert subspace (5 classes which also appear in two-dimensional subspaces and were found and analysed by Boyer et al. (Phys Rev A 95:032308, 2017. https://doi.org/10.1103/PhysRevA.95.032308), and 9 novel classes which appear only in three-dimensional subspaces), describe their geometries, and provide figures illustrating them. We also generalise these results to characterise the sets of fully separable states (and hence the complementary sets of somewhat entangled states) in three-dimensional subspaces of multipartite systems. Our results show which geometrical forms quantum entanglement can and cannot take in low-dimensional subspaces.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01816-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141532370","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

Geometrization of the TUY/WZW/KZ connection TUY/WZW/KZ 连接的几何结构

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-21 DOI: 10.1007/s11005-024-01834-8

Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth

引用次数: 0

Correction: Volume singularities in general relativity 更正：广义相对论中的体积奇点

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-20 DOI: 10.1007/s11005-024-01838-4

Leonardo García-Heveling

引用次数: 0

Long-time asymptotics for a complex cubic Camassa–Holm equation 复立方卡马萨-霍尔姆方程的长时渐近线

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-20 DOI: 10.1007/s11005-024-01833-9

Hongyi Zhang, Yufeng Zhang, Binlu Feng

{"title":"Long-time asymptotics for a complex cubic Camassa–Holm equation","authors":"Hongyi Zhang, Yufeng Zhang, Binlu Feng","doi":"10.1007/s11005-024-01833-9","DOIUrl":"10.1007/s11005-024-01833-9","url":null,"abstract":"<div>In this paper, we investigate the Cauchy problem of the following complex cubic Camassa–Holm equation <div><div>$$begin{aligned} m_{t}=bu_{x}+frac{1}{2}left[ mleft( |u|^{2}-left| u_{x}right| ^{2}right) right] _{x}-frac{1}{2} mleft( u bar{u}_{x}-u_{x} bar{u}right) , quad m=u-u_{x x}, end{aligned}$$</div></div>where (b>0) is an arbitrary positive real constant. Long-time asymptotics of the equation is obtained through the (bar{partial })-steepest descent method. Firstly, based on the spectral analysis of the Lax pair and scattering matrix, the solution of the equation is able to be constructed via solving the corresponding Riemann–Hilbert problem. Then, we present different long-time asymptotic expansions of the solution u(y, t) in different space-time solitonic regions of (xi =y/t). The half-plane ({(y,t):-infty<y< infty , t > 0}) is divided into four asymptotic regions: (xi in (-infty ,-1)), (xi in (-1,0)), (xi in (0,frac{1}{8})) and (xi in (frac{1}{8},+infty )). When (xi ) falls in ((-infty ,-1)cup (frac{1}{8},+infty )), no stationary phase point of the phase function (theta (z)) exists on the jump profile in the space-time region. In this case, corresponding asymptotic approximations can be characterized with an (N(Lambda ))-solitons with diverse residual error order (O(t^{-1+2varepsilon })). There are four stationary phase points and eight stationary phase points on the jump curve as (xi in (-1,0)) and (xi in (0,frac{1}{8})), respectively. The corresponding asymptotic form is accompanied by a residual error order (O(t^{-frac{3}{4}})).</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141512721","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

Vertex operators of the KP hierarchy and singular algebraic curves KP 层次的顶点算子和奇异代数曲线

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-19 DOI: 10.1007/s11005-024-01836-6

Atsushi Nakayashiki

引用次数: 0

Attractor flow versus Hesse flow in wall-crossing structures 穿墙结构中的吸引流与黑塞流

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2024-06-08 DOI: 10.1007/s11005-024-01830-y

Qiang Wang

引用次数: 0