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Superfield Bäcklund and Darboux transformations of an (mathcal N=1) supersymmetric coupled dispersionless integrable system 一个 $$mathcal N=1$$ 超对称耦合无分散可积分系统的超场贝克隆和达尔布克斯变换
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI: 10.1134/S0040577924040081
A. Mirza, M. ul Hassan
{"title":"Superfield Bäcklund and Darboux transformations of an (mathcal N=1) supersymmetric coupled dispersionless integrable system","authors":"A. Mirza,&nbsp;M. ul Hassan","doi":"10.1134/S0040577924040081","DOIUrl":"10.1134/S0040577924040081","url":null,"abstract":"<p> We use a superfield Darboux matrix to study Darboux transformations of an <span>(mathcal N=1)</span> supersymmetric coupled dispersionless integrable system. The notion of quasideterminants is used to obtain superfield <span>(N)</span>-soliton solutions of that system. A superfield Lax representation is used to obtain a superfield Bäcklund transformation via a set of superfield Riccati equations. The Bäcklund and Darboux transformations are further used to compute explicit expressions for superfield soliton solutions of the supersymmetric coupled dispersionless integrable system. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"219 1","pages":"629 - 637"},"PeriodicalIF":1.0,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800542","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
Classification of the two-component Benjamin–Ono systems 本杰明-奥诺双组分系统的分类
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI: 10.1134/S0040577924040093
Min Zhao, Changzheng Qu
{"title":"Classification of the two-component Benjamin–Ono systems","authors":"Min Zhao,&nbsp;Changzheng Qu","doi":"10.1134/S0040577924040093","DOIUrl":"10.1134/S0040577924040093","url":null,"abstract":"<p> The Benjamin–Ono equation involving the Hilbert transformation has been studied extensively from different standpoints. Its variant forms and multi-component extensions have been proposed. In this paper, we study the classification of two-component Benjamin–Ono-type systems of the general form. Our classification is carried out by developing the perturbative symmetry approach due to Mikhailov and Novikov. As a result, new two-component integrable Benjamin–Ono type systems are obtained. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"219 1","pages":"638 - 662"},"PeriodicalIF":1.0,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800617","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 theory of motion of dark solitons in the theory of nonlinear Schrödinger equation 非线性薛定谔方程理论中暗孤子运动的哈密顿理论
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI: 10.1134/S0040577924040056
A. M. Kamchatnov
{"title":"Hamiltonian theory of motion of dark solitons in the theory of nonlinear Schrödinger equation","authors":"A. M. Kamchatnov","doi":"10.1134/S0040577924040056","DOIUrl":"10.1134/S0040577924040056","url":null,"abstract":"<p> We develop a method for deriving Hamilton’s equations describing the dynamics of solitons when they move along an inhomogeneous and time-varying large-scale background for nonlinear wave equations that are completely integrable in the Ablowitz–Kaup–Newell–Segur (AKNS) scheme. The method is based on the development of old Stokes’ ideas that allow analytically continuing the relations for linear waves into the soliton region, and is practically implemented in the example of the defocusing nonlinear Schrödinger equation. A condition is formulated under which the external potential is only to be taken into account when describing the evolution of the background, and that this case, the Newton equation is obtained for the soliton dynamics in an external potential. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"219 1","pages":"567 - 575"},"PeriodicalIF":1.0,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800537","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
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions 具有伽马、对数正态和 F 分布的狄拉克振荡器的超统计特性
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI: 10.1134/S0040577924040111
S. Siouane, A. Boumali, A. Guvendi
{"title":"Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions","authors":"S. Siouane,&nbsp;A. Boumali,&nbsp;A. Guvendi","doi":"10.1134/S0040577924040111","DOIUrl":"10.1134/S0040577924040111","url":null,"abstract":"<p> We explore the thermal characteristics of fermionic fields with a nonminimal coupling in one, two, and three dimensions using the framework of superstatistics theory. We consider three distinct distributions: the gamma distribution, the lognormal distribution, and the F distribution. Each of these distributions is governed by a specific probability density function. To calculate the partition function, we use the Euler–Maclaurin formula, specifically in the low-energy asymptotic approximation of superstatistics. This calculation takes the remainder term into consideration. In each scenario, using the derived partition functions, we analyze the variations in entropy and specific heat with varying temperatures and the universal parameter denoted as <span>(q)</span>. In general, we observe that increasing the value of <span>(q)</span> enhances all the curves. Additionally, we note that entropy values tend to increase as the temperature decreases, and tend to decrease as the parameter <span>(q)</span> increases. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"219 1","pages":"673 - 687"},"PeriodicalIF":1.0,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800543","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
Yang–Baxter equation in all dimensions and universal qudit gates 所有维度的杨-巴克斯特方程和通用奎特门
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI: 10.1134/S0040577924040032
A. Pourkia
{"title":"Yang–Baxter equation in all dimensions and universal qudit gates","authors":"A. Pourkia","doi":"10.1134/S0040577924040032","DOIUrl":"10.1134/S0040577924040032","url":null,"abstract":"<p> We construct solutions of the Yang–Baxter equation in any dimension <span>(dge 2)</span> by directly generalizing the previously found solutions for <span>(d=2)</span>. We equip those solutions with unitarity and entangling properties. Being unitary, they can be turned into <span>(2)</span>-qudit quantum logic gates for qudit-based systems. The entangling property enables each of those solutions, together with all <span>(1)</span>-qudit gates, to form a universal set of quantum logic gates. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"219 1","pages":"544 - 556"},"PeriodicalIF":1.0,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800618","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
Eptifibatide bridging therapy for staged carotid artery stenting and cardiac surgery: Safety and feasibility. Eptifibatide桥接治疗颈动脉支架置入和心脏手术：安全性和可行性。
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-04-01 Epub Date: 2022-03-26 DOI: 10.1177/17085381221084813
M Travis Caton, Kazim H Narsinh, Amanda Baker, Matthew R Amans, Steven W Hetts, Joseph H Rapp, James C Ianuzzi, Elaine Tseng, Warren J Gasper, Daniel L Cooke
{"title":"Eptifibatide bridging therapy for staged carotid artery stenting and cardiac surgery: Safety and feasibility.","authors":"M Travis Caton, Kazim H Narsinh, Amanda Baker, Matthew R Amans, Steven W Hetts, Joseph H Rapp, James C Ianuzzi, Elaine Tseng, Warren J Gasper, Daniel L Cooke","doi":"10.1177/17085381221084813","DOIUrl":"10.1177/17085381221084813","url":null,"abstract":"<p><strong>Background: </strong>Prophylactic carotid artery stenting (CAS) is an effective strategy to reduce perioperative stroke in patients with severe carotid stenosis who require cardiothoracic surgery (CTS). Staging both procedures (CAS-CTS) during a single hospitalization presents conflicting demands for antiplatelet therapy and the optimal pharmacologic strategy between procedures is not established. The purpose of this study is to present our initial experience with a \"bridging\" protocol for staged CAS-CTS.</p><p><strong>Methods: </strong>A retrospective review of staged CAS-CTS procedures at a single referral center was performed. All patients had multivessel coronary and/or valvular disease and severe carotid stenosis (>70%). Patients not previously on aspirin were also started on aspirin prior to surgery, followed by eptifibatide during CAS (intraprocedural bolus followed by post-procedural infusion which was continued until the morning of surgery). Pre- and perioperative (30 days) neurologic morbidity and mortality was the primary endpoint.</p><p><strong>Results: </strong>11 CAS procedures were performed in 10 patients using the protocol. The median duration of eptifibatide bridge therapy was 36 h (range 24-288 h). There was one minor bleeding complication (1/11, 9.1%) and no major bleeding complications during the bridging and post-operative period. There was one post-operative, non-neurologic death and zero perioperative ischemic strokes.</p><p><strong>Conclusions: </strong>For patients undergoing staged CAS-CTS, Eptifibatide bridging therapy is a viable temporary antiplatelet strategy with a favorable safety profile. This strategy enables a flexible range of time-intervals between procedures.</p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"171 2","pages":"433-439"},"PeriodicalIF":1.1,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11129521/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41307816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover 冰盖下液层中非线性波包场中的粒子运动
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-03-22 DOI: 10.1134/S0040577924030097
A. T. Il’ichev, A. S. Savin, A. Yu. Shashkov
{"title":"Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover","authors":"A. T. Il’ichev,&nbsp;A. S. Savin,&nbsp;A. Yu. Shashkov","doi":"10.1134/S0040577924030097","DOIUrl":"10.1134/S0040577924030097","url":null,"abstract":"<p> We consider a liquid layer of a finite depth described by Euler’s equations. The ice cover is geometrically modeled by a nonlinear elastic Kirchhoff–Love plate. We determine the trajectories of liquid particles under an ice cover in the field of a nonlinear surface traveling wave rapidly decaying at infinity, namely, a solitary wave packet (a monochromatic wave under the envelope, with the wave velocity equal to the envelope velocity) of a small but finite amplitude. Our analysis is based on the use of explicit asymptotic expressions for solutions describing the wave structures at the water–ice interface of a solitary wave packet type, as well as asymptotic solutions for the velocity field generated by these waves in the depth of the liquid. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"218 3","pages":"503 - 514"},"PeriodicalIF":1.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198436","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
One-parameter discrete-time Calogero–Moser system 单参数离散时间卡洛吉罗-莫泽系统
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-03-22 DOI: 10.1134/S0040577924030012
U. Jairuk, S. Yoo-Kong
{"title":"One-parameter discrete-time Calogero–Moser system","authors":"U. Jairuk,&nbsp;S. Yoo-Kong","doi":"10.1134/S0040577924030012","DOIUrl":"10.1134/S0040577924030012","url":null,"abstract":"<p> We present a new type of integrable one-dimensional many-body systems called a one-parameter Calogero–Moser system. At the discrete level, the Lax pairs with a parameter are introduced and the discrete-time equations of motion are obtained as together with the corresponding discrete-time Lagrangian. The integrability property of this new system can be expressed in terms of the discrete Lagrangian closure relation by using a connection with the temporal Lax matrices of the discrete-time Ruijsenaars–Schneider system, an exact solution, and the existence of a classical <span>(r)</span>-matrix. As the parameter tends to zero, the standard Calogero–Moser system is recovered in both discrete-time and continuous-time forms. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"218 3","pages":"357 - 369"},"PeriodicalIF":1.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198161","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
Evolution of the magnetic field in spatially inhomogeneous axion structures 空间不均匀轴心结构中的磁场演变
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-03-22 DOI: 10.1134/S0040577924030103
M. S. Dvornikov, P. M. Akhmet’ev
{"title":"Evolution of the magnetic field in spatially inhomogeneous axion structures","authors":"M. S. Dvornikov,&nbsp;P. M. Akhmet’ev","doi":"10.1134/S0040577924030103","DOIUrl":"10.1134/S0040577924030103","url":null,"abstract":"<p> We study the time evolution of magnetic fields in various configurations of spatially inhomogeneous pseudoscalar fields that are a coherent superposition of axions. For such systems, we derive a new induction equation for the magnetic field, which takes this inhomogeneity into account. Based on this equation, we study the evolution of a pair of Chern–Simons waves interacting with a linearly decreasing pseudoscalar field. The nonzero gradient of the pseudoscalar field leads to the mixing of these waves. We then consider the problem in a compact domain in the case where the initial Chern–Simons wave is mirror symmetric. The pseudoscalar field inhomogeneity then leads to an effective change in the <span>(alpha)</span> dynamo parameter. Thus, the influence of a spatially inhomogeneous pseudoscalar field on the magnetic field evolution bears a strong dependence on the system geometry. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"218 3","pages":"515 - 529"},"PeriodicalIF":1.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198534","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
Quantifying the irreversibility of channels 量化通道的不可逆转性
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-03-22 DOI: 10.1134/S004057792403005X
Shunlong Luo, Yuan Sun
{"title":"Quantifying the irreversibility of channels","authors":"Shunlong Luo,&nbsp;Yuan Sun","doi":"10.1134/S004057792403005X","DOIUrl":"10.1134/S004057792403005X","url":null,"abstract":"<p> In contrast to unitary evolutions, which are reversible, generic quantum processes (operations and quantum channels) are often irreversible. However, the degree of irreversibility is different for different channels, and it is desirable to have a quantitative characterization of irreversibility. In this paper, by exploiting the channel–state duality implemented by the Jamiołkowski–Choi isomorphism, we quantify the irreversibility of channels via entropy of the Jamiołkowski–Choi states of the corresponding channels and compare it with the notions of entanglement fidelity and entropy exchange. General properties of a reasonable measure of irreversibility are discussed from an intuitive perspective, and entropic measures of irreversibility are introduced. Several relations between irreversibility, entanglement fidelity, the degree of nonunitality, and decorrelating power are established. Some measures of irreversibility for a variety of prototypical channels are evaluated explicitly, revealing some information-theoretic aspects of the structure of channels from the perspective of irreversibility. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"218 3","pages":"426 - 451"},"PeriodicalIF":1.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198256","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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