发布求助
文献互助 智能选刊 最新文献

Theoretical and Mathematical Physics最新文献

筛选
英文 中文
Inverse scattering transform for the focusing Hirota equation with asymmetric boundary conditions 非对称边界条件下聚焦Hirota方程的逆散射变换
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S0040577924120079
Chunjiang Wang, Jian Zhang
{"title":"Inverse scattering transform for the focusing Hirota equation with asymmetric boundary conditions","authors":"Chunjiang Wang,&nbsp;Jian Zhang","doi":"10.1134/S0040577924120079","DOIUrl":"10.1134/S0040577924120079","url":null,"abstract":"<p> We formulate an inverse scattering transformation for the focusing Hirota equation with asymmetric boundary conditions, which means that the limit values of the solution at spatial infinities have different amplitudes. For the direct problem, we do not use Riemann surfaces, but instead analyze the branching properties of the scattering problem eigenvalues. The Jost eigenfunctions and scattering coefficients are defined as single-valued functions on the complex plane, and their analyticity properties, symmetries, and asymptotics are obtained, which are helpful in constructing the corresponding Riemann–Hilbert problem. On an open contour, the inverse problem is described by a Riemann–Hilbert problem with double poles. Finally, for comparison purposes, we consider the initial value problem with one-sided nonzero boundary conditions and obtain the formulation of the inverse scattering transform by using Riemann surfaces. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2109 - 2131"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Equation with a lower negative time number in the Davey–Stewartson hierarchy 在Davey-Stewartson层次结构中具有较低负时间数的方程
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S004057792412002X
A. K. Pogrebkov
{"title":"Equation with a lower negative time number in the Davey–Stewartson hierarchy","authors":"A. K. Pogrebkov","doi":"10.1134/S004057792412002X","DOIUrl":"10.1134/S004057792412002X","url":null,"abstract":"<p> Earlier, we have presented an integrable system with a negative time variable number for the Davey–Stewartson hierarchy. Here, we develop this approach to construct an integrable equation with a lower time variable number. In addition, we show that the system reduced with respect to this time yields a new integrable equation in <span>(1+1)</span> dimensions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2022 - 2030"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A multicomponent generalized nonisospectral super AKNS integrable hierarchy 多分量广义非等谱超AKNS可积层次
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S0040577924120067
Jinxiu Li, Haifeng Wang
{"title":"A multicomponent generalized nonisospectral super AKNS integrable hierarchy","authors":"Jinxiu Li,&nbsp;Haifeng Wang","doi":"10.1134/S0040577924120067","DOIUrl":"10.1134/S0040577924120067","url":null,"abstract":"<p> In the nonisospectral case, we introduce the associated spectral problem with a perturbation term. We obtain a generalized nonisospectral super AKNS hierarchy and a coupled generalized nonisospectral super AKNS hierarchy associated with generalized Lie superalgebras <span>(sl(2,1))</span> and <span>(sl(4,1))</span>. Based on a new type of multicomponent Lie superalgebra <span>(sl(2N,1))</span>, a multicomponent generalized nonisospectral super AKNS hierarchy is obtained. By using the supertrace identity, the super bi-Hamiltonian structures of the resulting superintegrable hierarchies are obtained. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2083 - 2108"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 existence of a nonextendable solution of the Cauchy problem for a ((3+1))-dimensional thermal–electrical model 关于((3+1))维热电模型Cauchy问题不可扩展解的存在性
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S0040577924120146
M. V. Artemeva, M. O. Korpusov
{"title":"On the existence of a nonextendable solution of the Cauchy problem for a ((3+1))-dimensional thermal–electrical model","authors":"M. V. Artemeva,&nbsp;M. O. Korpusov","doi":"10.1134/S0040577924120146","DOIUrl":"10.1134/S0040577924120146","url":null,"abstract":"<p> A thermal–electrical <span>((3+1))</span>-dimensional model of heating a semiconductor in an electric field is considered. For the corresponding Cauchy problem, the existence of a classical solution nonextendable in time is proved and an a priori estimate global in time is obtained. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2207 - 2218"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142890537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 spectrum of the Landau Hamiltonian perturbed by a periodic smooth electric potential 在朗道哈密顿谱上被周期性平滑电势扰动
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S0040577924120110
L. I. Danilov
{"title":"On the spectrum of the Landau Hamiltonian perturbed by a periodic smooth electric potential","authors":"L. I. Danilov","doi":"10.1134/S0040577924120110","DOIUrl":"10.1134/S0040577924120110","url":null,"abstract":"<p> We study the spectrum of the Landau Hamiltonian with a periodic electric potential. In the case of a rational magnetic flux, we present examples of nonconstant zero-mean periodic electric potentials <span>({Vin C^{infty}(mathbb{R}^2;mathbb{R})})</span> for which the spectrum has an eigenvalue at the second Landau level. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2165 - 2176"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142890424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Groups of diagonal gates in the Clifford hierarchy 克利福德层次结构中的对角门组
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S0040577924120018
Lingxuan Feng, Shunlong Luo
{"title":"Groups of diagonal gates in the Clifford hierarchy","authors":"Lingxuan Feng,&nbsp;Shunlong Luo","doi":"10.1134/S0040577924120018","DOIUrl":"10.1134/S0040577924120018","url":null,"abstract":"<p> The Clifford hierarchy plays a crucial role in the stabilizer formalism of quantum error correction and quantum computation. Apart form the zeroth level (the discrete Heisenberg–Weyl group) and the first level (the Clifford group), all other levels of the Clifford hierarchy are not groups. However, the diagonal gates at all levels do form groups, and it is desirable to characterize their generators and structures. In this paper, we study the diagonal gates at the second level of the Clifford hierarchy. For this, we introduce the notion of a <span>(T)</span>-gate in an arbitrary dimension, generalizing the corresponding notion in prime dimensions. By the use of the <span>(T)</span>-gate, we are able to completely characterize the group structures of the diagonal gates at the second level of the Clifford hierarchy in any (not necessarily prime) dimension. It turns out that the classification depends crucially on the number-theoretic nature of the dimension. The results highlight the special role of the first two primes, <span>(2)</span> and <span>(3)</span>, in the prime factorization of the dimension. The <span>(T)</span>-gate in an arbitrary dimension, apart from its key role as a generator of the diagonal gates, may have independent interest and further applications in quantum theory. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2007 - 2021"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
New similarity reductions and exact solutions of the Date–Jimbo–Kashiwara–Miwa equation Date-Jimbo-Kashiwara-Miwa方程的新相似性约简和精确解
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S0040577924120055
Dongwei Ran, Shaowei Liu
{"title":"New similarity reductions and exact solutions of the Date–Jimbo–Kashiwara–Miwa equation","authors":"Dongwei Ran,&nbsp;Shaowei Liu","doi":"10.1134/S0040577924120055","DOIUrl":"10.1134/S0040577924120055","url":null,"abstract":"<p> We study the <span>((2+1))</span>-dimensional nonlinear Date–Jimbo–Kashiwara–Miwa (DJKM) equation by the CK direct method. In the literature, no one has used the CK direct method to solve the DJKM equation. However, in the process of solving the DJKM equation by the CK direct method, it is almost impossible to solve for all <span>(beta)</span> and <span>(z)</span>, and we therefore use a certain method to find the concrete expressions of <span>(beta)</span> and <span>(z)</span> more easily. Finally, some new one-dimensional similarity reductions and new exact solutions of the DJKM equation are obtained via a large amount of complex and tedious calculations; these solutions can contain some arbitrary functions of <span>(t)</span>. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2062 - 2082"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142890488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Generating quantum dynamical mappings 生成量子动力学映射
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI: 10.1134/S0040577924120122
R. N. Gumerov, R. L. Khazhin
{"title":"Generating quantum dynamical mappings","authors":"R. N. Gumerov,&nbsp;R. L. Khazhin","doi":"10.1134/S0040577924120122","DOIUrl":"10.1134/S0040577924120122","url":null,"abstract":"<p> We consider one-parameter families of generating quantum channels. Such families are called the generating quantum dynamical mappings or the generating quantum processes. By the generating channels of composite quantum systems, we understand the channels that allow the channels of constituent subsystems, called the induced channels, to be uniquely defined. Using the criterion for generating and induced linear mappings, we study the properties of bijective quantum channels and the properties of quantum processes consisting of such channels. Using a generating quantum dynamical mapping, we naturally construct the induced dynamical mapping. We show that the properties of continuity and completely positive divisibility of generating quantum dynamical mappings are hereditary for induced dynamical mappings. As an application of the obtained results, we construct continuous completely positive evolutions. For generating quantum dynamical mappings taking values in the set of phase-damping channels, we obtain a criterion for the completely positive divisibility. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2177 - 2192"},"PeriodicalIF":1.0,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142890423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Hirota equation with a self-consistent source 关于具有自洽源的广田方程
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-11-26 DOI: 10.1134/S0040577924110059
A. B. Khasanov, A. A. Reyimberganov
{"title":"On the Hirota equation with a self-consistent source","authors":"A. B. Khasanov,&nbsp;A. A. Reyimberganov","doi":"10.1134/S0040577924110059","DOIUrl":"10.1134/S0040577924110059","url":null,"abstract":"<p> We develop the formalism of the inverse scattering problem method for the Cauchy problem for the defocusing Hirota equation with a self-consistent source. The specific feature of the considered Cauchy problem is that the solution is assumed to approach nonzero limits as the spatial variable approaches the plus and minus infinities. The purpose of the paper is to present two main steps of the formalism: first, the inverse problem for the associated linear Zakharov–Shabat system and, second, the evolution of the associated scattering data. A theorem is proved on the evolution of scattering data of a self-adjoint Zakharov–Shabat system, with the potential given by a solution of the defocusing Hirota equation with a self-consistent source. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 2","pages":"1852 - 1866"},"PeriodicalIF":1.0,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models 点物质黑洞和非交换黑洞模型中的哈密顿映射和量子扰动方程
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-11-26 DOI: 10.1134/S0040577924110138
Jun Yan
{"title":"Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models","authors":"Jun Yan","doi":"10.1134/S0040577924110138","DOIUrl":"10.1134/S0040577924110138","url":null,"abstract":"<p> The Hamiltonian mapping of the Dirac equation with a quantum perturbation in <span>(2)</span>D black hole models are investigated. We derive the Hamiltonians of the modified Rabi model for the point matter black hole and noncommutative black hole, and obtain perturbed expressions for the velocity and acceleration of the simulating Dirac particles. The fluctuation equations for the charge–current density in two types of black holes are derived based on the solutions of the Dirac equation. The results indicate that the Hamiltonians contain the correction terms with different powers of the creation and annihilation operators, and the accelerations have some additional Dirac Zitterbewegung terms. In addition, the coordinate operators in the fluctuation equations of the charge–current density have different powers. These characteristics can be used to distinguish different types of black holes in the analogical gravity models. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 2","pages":"1994 - 2006"},"PeriodicalIF":1.0,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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