发布求助
文献互助 智能选刊 最新文献

Letters in Mathematical Physics最新文献

筛选
英文 中文
Existence and asymptotic behavior of nontrivial p-k-convex radial solutions for p-k-Hessian equations p-k-Hessian 方程的非rivial p-k-convex 径向解的存在性和渐近行为
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-23 DOI: 10.1007/s11005-024-01858-0
Meiqiang Feng, Yichen Lu
{"title":"Existence and asymptotic behavior of nontrivial p-k-convex radial solutions for p-k-Hessian equations","authors":"Meiqiang Feng,&nbsp;Yichen Lu","doi":"10.1007/s11005-024-01858-0","DOIUrl":"10.1007/s11005-024-01858-0","url":null,"abstract":"<div><p>We study, via the eigenvalue theory of completely continuous operators, the existence and asymptotic behavior of nontrivial <i>p</i>-<i>k</i>-convex radial solutions for a <i>p</i>-<i>k</i>-Hessian equation. This is probably the first time that <i>p</i>-<i>k</i>-Hessian equations have been studied by employing this technique. Several new nonexistence conclusions are also derived in this paper.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219491","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
Mourre theory and spectral analysis of energy-momentum operators in relativistic quantum field theory 相对论量子场论中的莫尔理论和能动算子谱分析
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-22 DOI: 10.1007/s11005-024-01859-z
Janik Kruse
{"title":"Mourre theory and spectral analysis of energy-momentum operators in relativistic quantum field theory","authors":"Janik Kruse","doi":"10.1007/s11005-024-01859-z","DOIUrl":"10.1007/s11005-024-01859-z","url":null,"abstract":"<div><p>A central task of theoretical physics is to analyse spectral properties of quantum mechanical observables. In this endeavour, Mourre’s conjugate operator method emerged as an effective tool in the spectral theory of Schrödinger operators. This paper introduces a novel class of examples from relativistic quantum field theory that are amenable to Mourre’s method. By assuming Lorentz covariance and the spectrum condition, we derive a limiting absorption principle for the energy-momentum operators and provide new proofs of the absolute continuity of the energy-momentum spectra. Moreover, under the assumption of dilation covariance, we show that the spectrum of the relativistic mass operator is purely absolutely continuous in <span>((0,infty ))</span>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01859-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219490","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
Support of the free measure for quantum field on fractal space-time 分形时空中量子场自由度的支持
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-13 DOI: 10.1007/s11005-024-01853-5
Tianjia Ni
{"title":"Support of the free measure for quantum field on fractal space-time","authors":"Tianjia Ni","doi":"10.1007/s11005-024-01853-5","DOIUrl":"10.1007/s11005-024-01853-5","url":null,"abstract":"<div><p>In constructive quantum theory, the free field is constructed based on a Gaussian measure on the space of tempered distributions. We generalize the classic results about support property of the Gaussian measure from Euclidean space-time to fractal space-time <span>(mathbb {R}times F)</span>. More precisely, we show that the set <span>((I-Delta _F)^{(d_s-1)/4+alpha }(1+| x| ^2)^{(d_H+1)/4+beta }L^2(mathbb {R}times F))</span> is of the Gaussian measure one if <span>(alpha &gt;0)</span> and <span>(beta &gt;0)</span>, while the set is of the Gaussian measure zero if <span>(alpha &gt;0)</span> and <span>(beta &lt;0)</span>. Here, <span>(Delta _F)</span> is the Laplacian on the underlying fractal space <i>F</i>, <span>(d_s)</span> is the spectral dimension of <span>(Delta _F)</span>, and <span>(d_H)</span> is the Hausdorff dimension of <i>F</i>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219492","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
The Jucys–Murphy basis and semisimplicity criteria for the q-Brauer algebra q-Brauer 代数的 Jucys-Murphy 基和半简性标准
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-12 DOI: 10.1007/s11005-024-01850-8
Hebing Rui, Mei Si, Linliang Song
{"title":"The Jucys–Murphy basis and semisimplicity criteria for the q-Brauer algebra","authors":"Hebing Rui,&nbsp;Mei Si,&nbsp;Linliang Song","doi":"10.1007/s11005-024-01850-8","DOIUrl":"10.1007/s11005-024-01850-8","url":null,"abstract":"<div><p>We construct the Jucys–Murphy elements and the Jucys–Murphy basis for the <i>q</i>-Brauer algebra in the sense of Mathas. We also give a necessary and sufficient condition for the <i>q</i>-Brauer algebra being (split) semisimple over an arbitrary field.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142219494","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
Correction to: Ruminations on matrix convexity and the strong subadditivity of quantum entropy 更正：关于矩阵凸性和量子熵强次可加性的遐想
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-08 DOI: 10.1007/s11005-024-01849-1
Michael Aizenman, Giorgio Cipolloni
{"title":"Correction to: Ruminations on matrix convexity and the strong subadditivity of quantum entropy","authors":"Michael Aizenman,&nbsp;Giorgio Cipolloni","doi":"10.1007/s11005-024-01849-1","DOIUrl":"10.1007/s11005-024-01849-1","url":null,"abstract":"","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929431","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
Generalized double affine Hecke algebra for double torus 双环的广义双仿射赫克代数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-08-07 DOI: 10.1007/s11005-024-01848-2
Kazuhiro Hikami
{"title":"Generalized double affine Hecke algebra for double torus","authors":"Kazuhiro Hikami","doi":"10.1007/s11005-024-01848-2","DOIUrl":"10.1007/s11005-024-01848-2","url":null,"abstract":"<div><p>We propose a generalization of the double affine Hecke algebra of type-<span>(C^vee C_1)</span> at specific parameters by introducing a “Heegaard dual” of the Hecke operators. Shown is a relationship with the skein algebra on double torus. We give automorphisms of the algebra associated with the Dehn twists on the double torus.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01848-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141945476","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
A naturally appearing family of Cantorvals 一个自然出现的康托伐尔族
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-30 DOI: 10.1007/s11005-024-01847-3
Michael Baake, Anton Gorodetski, Jan Mazáč
{"title":"A naturally appearing family of Cantorvals","authors":"Michael Baake,&nbsp;Anton Gorodetski,&nbsp;Jan Mazáč","doi":"10.1007/s11005-024-01847-3","DOIUrl":"10.1007/s11005-024-01847-3","url":null,"abstract":"<div><p>The aim of this note is to show the existence of a large family of Cantorvals arising in the projection description of primitive two-letter substitutions. This provides a common and naturally occurring class of Cantorvals.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01847-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141865395","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
Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry 具有奇数时间反演对称性的拓扑绝缘体的绝对连续边谱
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-24 DOI: 10.1007/s11005-024-01846-4
Alex Bols, Christopher Cedzich
{"title":"Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry","authors":"Alex Bols,&nbsp;Christopher Cedzich","doi":"10.1007/s11005-024-01846-4","DOIUrl":"10.1007/s11005-024-01846-4","url":null,"abstract":"<div><p>We show that non-trivial two-dimensional topological insulators protected by an odd time-reversal symmetry have absolutely continuous edge spectrum. To accomplish this, we establish a time-reversal symmetric version of the Wold decomposition that singles out extended edge modes of the topological insulator.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01846-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141785908","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
Dark breathers on a snoidal wave background in the defocusing mKdV equation 散焦 mKdV 方程中鼻息波背景上的暗呼吸器
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-24 DOI: 10.1007/s11005-024-01844-6
Ana Mucalica, Dmitry E. Pelinovsky
{"title":"Dark breathers on a snoidal wave background in the defocusing mKdV equation","authors":"Ana Mucalica,&nbsp;Dmitry E. Pelinovsky","doi":"10.1007/s11005-024-01844-6","DOIUrl":"10.1007/s11005-024-01844-6","url":null,"abstract":"<div><p>We present a new exact solution to the defocusing modified Korteweg–de Vries equation to describe the interaction of a dark soliton and a traveling periodic wave. The solution (which we refer to as the dark breather) is obtained by using the Darboux transformation with the eigenfunctions of the Lax system expressed in terms of the Jacobi theta functions. Properties of elliptic functions including the quarter-period translations in the complex plane are applied to transform the solution to the simplest form. We explore the characteristic properties of these dark breathers and show that they propagate faster than the periodic wave (in the same direction) and attain maximal localization at a specific parameter value which is explicitly computed.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141786220","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
Topological twists of massive SQCD, Part II 大质量 SQCD 的拓扑扭曲，第二部分
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-15 DOI: 10.1007/s11005-024-01829-5
Johannes Aspman, Elias Furrer, Jan Manschot
{"title":"Topological twists of massive SQCD, Part II","authors":"Johannes Aspman,&nbsp;Elias Furrer,&nbsp;Jan Manschot","doi":"10.1007/s11005-024-01829-5","DOIUrl":"10.1007/s11005-024-01829-5","url":null,"abstract":"<div><p>This is the second and final part of ‘Topological twists of massive SQCD’. Part I is available at Lett. Math. Phys. 114 (2024) 3, 62. In this second part, we evaluate the contribution of the Coulomb branch to topological path integrals for <span>(mathcal {N}=2)</span> supersymmetric QCD with <span>(N_fle 3)</span> massive hypermultiplets on compact four-manifolds. Our analysis includes the decoupling of hypermultiplets, the massless limit and the merging of mutually non-local singularities at the Argyres–Douglas points. We give explicit mass expansions for the four-manifolds <span>(mathbb {P}^2)</span> and <i>K</i>3. For <span>(mathbb {P}^2)</span>, we find that the correlation functions are polynomial as function of the masses, while infinite series and (potential) singularities occur for <i>K</i>3. The mass dependence corresponds mathematically to the integration of the equivariant Chern class of the matter bundle over the moduli space of <i>Q</i>-fixed equations. We demonstrate that the physical partition functions agree with mathematical results on Segre numbers of instanton moduli spaces.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01829-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141648534","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信