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Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030031
Zhen Zhou, Xinyuan Zhang, Tong Shen, Chunxia Li
{"title":"Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation","authors":"Zhen Zhou,&nbsp;Xinyuan Zhang,&nbsp;Tong Shen,&nbsp;Chunxia Li","doi":"10.1134/S0040577925030031","DOIUrl":"10.1134/S0040577925030031","url":null,"abstract":"<p> Cauchy matrix approach is developed to construct the nonisospectral and variable-coefficient equations and study their integrability. We derive the nonisospectral and variable-coefficient Kadomtsev–Petviashvili ( n-vcKP) equation, which includes the standard KP equation and the nonisospectral and variable-coefficient KdV equation as special cases. The connection of the <span>(tau)</span> function of the n-vcKP equation with the Cauchy matrix approach is clarified. The Lax pair for the n-vcKP equation is derived in a systematic way. Two types of exact solutions are found by solving the corresponding Sylvester equation. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"401 - 413"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688532","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
Heterogeneity effect in the statistical analysis of plasma density
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030080
N. S. Arkashov, V. A. Seleznev
{"title":"Heterogeneity effect in the statistical analysis of plasma density","authors":"N. S. Arkashov,&nbsp;V. A. Seleznev","doi":"10.1134/S0040577925030080","DOIUrl":"10.1134/S0040577925030080","url":null,"abstract":"<p> A sample of plasma density values in a thermonuclear facility is studied. On the basis of discrete analogues of heterogeneous processes and memory flow phenomenology, we construct a class of stochastic processes modeling space–time nonlocality taking the spatial heterogeneity into account. A methodology for processing experimental data is proposed that allows establishing a correspondence between this sample of plasma density values and the class of stochastic processes. A physical interpretation of the nonlocality parameters and the heterogeneity parameter is described. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"483 - 496"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688530","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 correlators in (Toverline{T})-deformed conformal field theories
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030055
D. D. Menskoy
{"title":"On correlators in (Toverline{T})-deformed conformal field theories","authors":"D. D. Menskoy","doi":"10.1134/S0040577925030055","DOIUrl":"10.1134/S0040577925030055","url":null,"abstract":"<p> We consider the effect of <span>(T kern0.9ptoverline{vphantom{T}kern6.0pt}kern-6.9pt T )</span>-deformations in conformal field theories within the perturbation theory. A dimensional regularization scheme is used for a perturbative calculation of the contribution of the <span>(T kern0.9ptoverline{vphantom{T}kern6.0pt}kern-6.9pt T )</span>-deformation to the correlation functions of primary fields of conformal field theory. Renormalization of fields in the case of a two-point correlation function is presented. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"432 - 452"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688527","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 direct method for solving Lax equations
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S004057792503002X
Ying-ying Sun, Benqin Liu
{"title":"A direct method for solving Lax equations","authors":"Ying-ying Sun,&nbsp;Benqin Liu","doi":"10.1134/S004057792503002X","DOIUrl":"10.1134/S004057792503002X","url":null,"abstract":"<p> The integrable <span>((1+1))</span>-dimensional Lax equations and their various exact solutions, including multisoliton solutions, can be derived by a straightforward algebraic procedure. This method starts with a specific case of the Sylvester equation, eliminating the necessity of introducing an initial value problem. The Lax equation, along with its modified and Schwarzian forms, is constructed using elements present in the Sylvester equation, allowing the exact solutions to be expanded in terms of the solutions of the Sylvester equation. In particular, we obtain the Lax pair for the Lax equation by this direct approach and analyze its soliton solutions asymptotically. Furthermore, we extend the dispersion relations associated with the Lax equation and formulate the <span>((2+1))</span>-dimensional C-type Kadomtsev–Petviashvili equation, along with its novel solutions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"383 - 400"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688535","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
Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030110
Yisheng Song, Liqun Qi
{"title":"Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson","authors":"Yisheng Song,&nbsp;Liqun Qi","doi":"10.1134/S0040577925030110","DOIUrl":"10.1134/S0040577925030110","url":null,"abstract":"","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"522 - 523"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688492","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
Collective transformations of quantum states with postselection and their application to quantum cryptography
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030109
I. A. Zhigalskii, D. A. Kronberg
{"title":"Collective transformations of quantum states with postselection and their application to quantum cryptography","authors":"I. A. Zhigalskii,&nbsp;D. A. Kronberg","doi":"10.1134/S0040577925030109","DOIUrl":"10.1134/S0040577925030109","url":null,"abstract":"<p> Quantum cryptography allows providing the provable secrecy of distributed cryptographic keys based on fundamental no-go theorems of quantum mechanics. At the same time, some practical limitations of legitimate users can be a potential threat to the security of quantum cryptography protocols. One of the practical difficulties is the use of multiphoton pulses instead of single-photon states. In this paper, we show how the eavesdropper can use multiphoton messages to construct the effective eavesdropping strategy for a quantum cryptography protocol with phase–time coding. This allows obtaining the entire key in the presence of four photons in the pulse instead of five, as was assumed previously. We show that the advantage is achieved due to collective actions with multiphoton messages rather than individual transformations of each photon. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"511 - 521"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688531","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
Solutions of a generalized constrained discrete KP hierarchy
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030043
Xuepu Mu, Mengyao Chen, Jipeng Cheng, Jingsong He
{"title":"Solutions of a generalized constrained discrete KP hierarchy","authors":"Xuepu Mu,&nbsp;Mengyao Chen,&nbsp;Jipeng Cheng,&nbsp;Jingsong He","doi":"10.1134/S0040577925030043","DOIUrl":"10.1134/S0040577925030043","url":null,"abstract":"<p> Solutions of a generalized constrained discrete KP (gcdKP) hierarchy with the constraint <span>(L^k=(L^k)_{geq m}+sum_{i=1}^lq_iDelta^{-1}Lambda^mr_i)</span> on the Lax operator are investigated by Darboux transformations <span>(T_D(f)=f^{[1]}cdotDeltacdot f^{-1})</span> and <span>(T_I(g)=(g^{[-1]})^{-1}cdotDelta^{-1}cdot g)</span>. Due to the special constraint on the Lax operator, it can be shown that the generating functions <span>(f)</span> and <span>(g)</span> of the corresponding Darboux transformations can only be chosen from (adjoint) wave functions or <span>((L^k)_{&lt;m}=sum_{i=1}^lq_iDelta^{-1}Lambda^mr_i)</span>. We discuss successive application of Darboux transformations for the gcdKP hierarchy. Solutions of the gcdKP hierarchy are obtained from <span>(L^{{0}}=Lambda)</span> by Darboux transformations, with a method that is highly nontrivial due to the special constraint on the Lax operator. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"414 - 431"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688533","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
Generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030018
Denghui Li, Zhaowen Yan
{"title":"Generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters","authors":"Denghui Li,&nbsp;Zhaowen Yan","doi":"10.1134/S0040577925030018","DOIUrl":"10.1134/S0040577925030018","url":null,"abstract":"<p> We discuss the construction of the vertex operator realizations of generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters. By applying a series of vertex operators to the constant function <span>(1)</span>, the generating functions of the three symmetric functions are obtained. Furthermore, we investigate three hierarchies respectively satisfied by the three generalized universal characters. In view of the algebraic structure of the three symmetric functions, the generalized universal characters and generalized symplectic universal characters can be expressed in the form related to fermion vacuum expectation values. In addition, a novel boson–fermion correspondence is established. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"357 - 382"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688534","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
Asymptotics of hypergeometric coherent states and eigenfunctions of the hydrogen atom in a magnetic field. Determination of self-consistent energy levels
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030067
A. V. Pereskokov
{"title":"Asymptotics of hypergeometric coherent states and eigenfunctions of the hydrogen atom in a magnetic field. Determination of self-consistent energy levels","authors":"A. V. Pereskokov","doi":"10.1134/S0040577925030067","DOIUrl":"10.1134/S0040577925030067","url":null,"abstract":"<p> The spectral problem for the hydrogen atom in a magnetic field perturbed by a self-consistent field is considered. An asymptotic expansion of self-consistent energy levels is obtained. An asymptotic expansion of hypergeometric coherent states near the sphere <span>(|q|=2)</span> is found. The asymptotics of the norm of the asymptotic eigenfunctions in the space <span>(L^2(mathbb{R}^3))</span> is calculated. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"453 - 470"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688526","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
Influence of the electrodynamic stability of streaming fluid cylinders surrounded by dielectric gravitational fluid under a radial-varying electric field
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030079
M. H. Hendy
{"title":"Influence of the electrodynamic stability of streaming fluid cylinders surrounded by dielectric gravitational fluid under a radial-varying electric field","authors":"M. H. Hendy","doi":"10.1134/S0040577925030079","DOIUrl":"10.1134/S0040577925030079","url":null,"abstract":"<p> We study the relation between the electrodynamic stabilization of self-gravitating dielectric fluid cylinders with varying densities subjected to radially varying electric fields. We derive the perturbations for all models studied. The electric fields inside and outside the fluid cylinder stabilize the system across different densities and wavelengths. Additionally, the use of a magnetic field is identified as a potentially effective method to inhibit the onset of unstable motion. Gravitational marginal stability occurs when the two densities are equal. Stable and unstable regions are determined for two densities at each wavelength in all symmetric and nonsymmetric axial perturbations. The effect of streaming is significant and destabilizing: it reduces the stable regions and enlarges the capillary axisymmetric unstable domain. Furthermore, we identify the necessary conditions to contain gravitational instability. The results are interpreted physically and analytically, and are confirmed numerically. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"471 - 482"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688528","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
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