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Regularity of the ((N-1))-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons. 具有固定核和N电子的分子的（(N-1)）粒子电子降密度矩阵的规律性。
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-31 DOI: 10.1007/s11005-025-01975-4
Thierry Jecko
{"title":"Regularity of the ((N-1))-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons.","authors":"Thierry Jecko","doi":"10.1007/s11005-025-01975-4","DOIUrl":"10.1007/s11005-025-01975-4","url":null,"abstract":"<div><p>We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and <i>N</i> electrons (<span>(N&gt;1)</span>). Near appropriate electronic collisions, we determine the regularity of the <span>((N-1))</span>-particle electronic reduced density matrix.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145756","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
Petrov types for the Weyl tensor via the Riemannian-to-Lorentzian bridge 通过黎曼到洛伦兹桥的Weyl张量的Petrov类型
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-31 DOI: 10.1007/s11005-025-01972-7
Amir Babak Aazami
{"title":"Petrov types for the Weyl tensor via the Riemannian-to-Lorentzian bridge","authors":"Amir Babak Aazami","doi":"10.1007/s11005-025-01972-7","DOIUrl":"10.1007/s11005-025-01972-7","url":null,"abstract":"<div><p>We analyze oriented Riemannian 4-manifolds whose Weyl tensors <i>W</i> satisfy the conformally invariant condition <span>(W(T,cdot ,cdot ,T) = 0)</span> for some nonzero vector <i>T</i>. While this can be algebraically classified via <i>W</i>’s normal form, we find a further geometric classification by deforming the metric into a Lorentzian one via <i>T</i>. We show that such a <i>W</i> will have the analogue of Petrov Types from general relativity, that only Types I and D can occur, and that each is completely determined by the number of critical points of <i>W</i>’s associated Lorentzian quadratic form. A similar result holds for the Lorentzian version of this question, with <i>T</i> timelike.\u0000\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145741","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 R-matrix in 3d topological BF theory 三维拓扑BF理论中的r矩阵
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-31 DOI: 10.1007/s11005-025-01956-7
Nanna Havn Aamand
{"title":"The R-matrix in 3d topological BF theory","authors":"Nanna Havn Aamand","doi":"10.1007/s11005-025-01956-7","DOIUrl":"10.1007/s11005-025-01956-7","url":null,"abstract":"<div><p>In this paper, I study Wilson line operators in a certain type of “split” Chern–Simons theory for a Lie-algebra <span>(mathfrak {g}={mathfrak {a}}oplus {mathfrak {a}}^*)</span> on a manifold with boundaries. The resulting gauge theory is a 3d topological BF theory equivalent to a topologically twisted 3d <span>({mathcal {N}}=4)</span> theory. I show that this theory realises solutions to the quantum Yang–Baxter equation all orders in perturbation theory as the expectation value of crossing Wilson lines.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145568","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
Supersymmetric Grassmannian sigma models in Gross–Neveu formalism Gross-Neveu形式主义中的超对称格拉斯曼σ模型
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-30 DOI: 10.1007/s11005-025-01958-5
Dmitri Bykov, Viacheslav Krivorol
{"title":"Supersymmetric Grassmannian sigma models in Gross–Neveu formalism","authors":"Dmitri Bykov,&nbsp;Viacheslav Krivorol","doi":"10.1007/s11005-025-01958-5","DOIUrl":"10.1007/s11005-025-01958-5","url":null,"abstract":"<div><p>We revisit the classical aspects of <span>(mathcal {N}=(2,2))</span> supersymmetric sigma models with Hermitian symmetric target spaces, using the so-called Gross–Neveu (“first-order GLSM”) formalism. We reformulate these models for complex Grassmannians in terms of simple supersymmetric Lagrangians with polynomial interactions. For maximal isotropic Grassmannians we propose two types of equivalent Lagrangians, which make either supersymmetry or the geometry of target space manifest. These reformulations can be seen as current–current deformations of curved <span>(beta gamma )</span> systems. The <span>(textsf{CP}^{1})</span> supersymmetric sigma model is our prototypical example.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145448","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
Poisson quasi-Nijenhuis manifolds, closed Toda lattices, and generalized recursion relations 泊松拟nijenhuis流形，闭Toda格和广义递推关系
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-26 DOI: 10.1007/s11005-025-01970-9
E. Chuño Vizarreta, G. Falqui, I. Mencattini, M. Pedroni
{"title":"Poisson quasi-Nijenhuis manifolds, closed Toda lattices, and generalized recursion relations","authors":"E. Chuño Vizarreta,&nbsp;G. Falqui,&nbsp;I. Mencattini,&nbsp;M. Pedroni","doi":"10.1007/s11005-025-01970-9","DOIUrl":"10.1007/s11005-025-01970-9","url":null,"abstract":"<div><p>We present two involutivity theorems in the context of Poisson quasi-Nijenhuis manifolds. The second one stems from recursion relations that generalize the so-called Lenard–Magri relations on a bi-Hamiltonian manifold. We apply these results to the closed (or periodic) Toda lattices of type <span>(A_n^{(1)})</span>, <span>(C_n^{(1)})</span>, <span>(A_{2n}^{(2)})</span>, and, for the ones of type <span>(A^{(1)}_n)</span>, we show how this geometrical setting relates to their bi-Hamiltonian representation and to their recursion relations.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145055","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
Quantum Berezinian for quantum affine superalgebra (textrm{U}_q(widehat{mathfrak {gl}}_{M|N})) 量子仿射超代数的量子berezian (textrm{U}_q(widehat{mathfrak {gl}}_{M|N}))
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-18 DOI: 10.1007/s11005-025-01966-5
Naihuan Jing, Zheng Li, Jian Zhang
{"title":"Quantum Berezinian for quantum affine superalgebra (textrm{U}_q(widehat{mathfrak {gl}}_{M|N}))","authors":"Naihuan Jing,&nbsp;Zheng Li,&nbsp;Jian Zhang","doi":"10.1007/s11005-025-01966-5","DOIUrl":"10.1007/s11005-025-01966-5","url":null,"abstract":"<div><p>We introduce the quantum Berezinian for the quantum affine superalgebra <span>(textrm{U}_q(widehat{mathfrak {gl}}_{M|N}))</span> and show that the coefficients of the quantum Berezinian belong to the center of <span>(textrm{U}_q(widehat{mathfrak {gl}}_{M|N}))</span>. We also construct another family of central elements which can be expressed in the quantum Berezinian by a Liouville-type theorem. Moreover, we prove analogues of the Jacobi identities, the Schur complementary theorem, the Sylvester theorem and the MacMahon Master theorem for the generator matrices of <span>(textrm{U}_q(widehat{mathfrak {gl}}_{M|N}))</span>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143877","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
Group of automorphisms for strongly quasi-invariant states 强拟不变态的自同构群
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-18 DOI: 10.1007/s11005-025-01976-3
Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo
{"title":"Group of automorphisms for strongly quasi-invariant states","authors":"Ameur Dhahri,&nbsp;Chul Ki Ko,&nbsp;Hyun Jae Yoo","doi":"10.1007/s11005-025-01976-3","DOIUrl":"10.1007/s11005-025-01976-3","url":null,"abstract":"<div><p>For a <span>(*)</span>-automorphism group <i>G</i> on a von Neumann algebra, we study the <i>G</i>-quasi-invariant states and their properties. The <i>G</i>-quasi-invariance or <i>G</i>-strongly quasi-invariance is weaker than the <i>G</i>-invariance and has wide applications. We develop several properties for <i>G</i>-strongly quasi-invariant states. Many of them are the extensions of the already developed theories for <i>G</i>-invariant states. Among others, we consider the relationship between the group <i>G</i> and modular automorphism group, invariant subalgebras, ergodicity, modular theory, and abelian subalgebras. We provide with some examples to support the results.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143862","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
Darboux and Bäcklund transformations approaches of the modified Camassa-Holm equation 修正Camassa-Holm方程的Darboux和Bäcklund变换方法
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-18 DOI: 10.1007/s11005-025-01973-6
Xiaoxing Niu, Q. P. Liu, Nianhua Li
{"title":"Darboux and Bäcklund transformations approaches of the modified Camassa-Holm equation","authors":"Xiaoxing Niu,&nbsp;Q. P. Liu,&nbsp;Nianhua Li","doi":"10.1007/s11005-025-01973-6","DOIUrl":"10.1007/s11005-025-01973-6","url":null,"abstract":"<div><p>Both the Darboux transformation (DT) and Bäcklund transformation (BT) approaches of the modified Camassa-Holm (mCH) equation are restudied. The <i>N</i>-DT is constructed for the mCH equation in a simple and direct way. By extending the existing 1-BT and 2-BT, the <i>N</i>-BT of the mCH equation is obtained. It is argued that two multi-soliton solution formulae resulted from <i>N</i>-DT and <i>N</i>-BT are equivalent. Furthermore, the DT method is applied to calulate some explicit solutions which include a solution expressed in terms of trigonometric functions.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143861","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
Spectrum of Schrödinger operators on subcovering graphs 子覆盖图上Schrödinger算子的谱
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-16 DOI: 10.1007/s11005-025-01962-9
Natalia Saburova
{"title":"Spectrum of Schrödinger operators on subcovering graphs","authors":"Natalia Saburova","doi":"10.1007/s11005-025-01962-9","DOIUrl":"10.1007/s11005-025-01962-9","url":null,"abstract":"<div><p>We consider discrete Schrödinger operators with real periodic potentials on periodic graphs. The spectra of the operators consist of a finite number of bands. By \"rolling up\" a periodic graph along some appropriate directions we obtain periodic graphs of smaller dimensions called subcovering graphs. For example, rolling up a planar hexagonal lattice along different directions will lead to nanotubes with various chiralities. We describe connections between spectra of the Schrödinger operators on a periodic graph and its subcoverings. In particular, we provide a simple criterion for the subcovering graph to be isospectral to the original periodic graph. By isospectrality of periodic graphs we mean that the spectra of the Schrödinger operators on the graphs consist of the same number of bands and the corresponding bands coincide as sets. We also obtain asymptotics of the band edges of the Schrödinger operator on the subcovering graph as the \"chiral\" (roll up) vectors are long enough.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143584","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
Relative volume of comparable pairs under semigroup majorization 半群优化下可比较对的相对体积
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-07-14 DOI: 10.1007/s11005-025-01968-3
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna, A. de Oliveira Junior
{"title":"Relative volume of comparable pairs under semigroup majorization","authors":"Fabio Deelan Cunden,&nbsp;Jakub Czartowski,&nbsp;Giovanni Gramegna,&nbsp;A. de Oliveira Junior","doi":"10.1007/s11005-025-01968-3","DOIUrl":"10.1007/s11005-025-01968-3","url":null,"abstract":"<div><p>Any semigroup <span>(mathcal {S})</span> of stochastic matrices induces a semigroup majorization relation <span>(prec ^{mathcal {S}})</span> on the set <span>(Delta _{n-1})</span> of probability <i>n</i>-vectors. Pick <i>X</i>, <i>Y</i> at random in <span>(Delta _{n-1})</span>: what is the probability that <i>X</i> and <i>Y</i> are comparable under <span>(prec ^{mathcal {S}})</span>? We review recent asymptotic (<span>(nrightarrow infty )</span>) results and conjectures in the case of <i>majorization</i> relation (when <span>(mathcal {S})</span> is the set of doubly stochastic matrices), discuss natural generalisations, and prove a new asymptotic result in the case of majorization, and new exact finite-<i>n</i> formulae in the case of <i>UT-majorization</i> relation, i.e. when <span>(mathcal {S})</span> is the set of upper-triangular stochastic matrices.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01968-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143532","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
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