International Journal of Theoretical Physics最新文献_第7页

Generalized Liénard Systems and Isochronous Connections 广义lisamadard系统与等时连接

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-23 DOI: 10.1007/s10773-025-06082-7

Bijan Bagchi, A. Ghose-Choudhury, Aritra Ghosh, Partha Guha

{"title":"Generalized Liénard Systems and Isochronous Connections","authors":"Bijan Bagchi, A. Ghose-Choudhury, Aritra Ghosh, Partha Guha","doi":"10.1007/s10773-025-06082-7","DOIUrl":"10.1007/s10773-025-06082-7","url":null,"abstract":"<div>In this paper, we explore some classical and quantum aspects of the nonlinear Liénard equation (ddot{x} + k x dot{x} + omega ^2 x + (k^2/9) x^3 = 0), where (x=x(t)) is a real variable and (k, omega in mathbb {R}). We demonstrate that such an equation could be derived from an equation of the Levinson-Smith kind which is of the form (ddot{z} + J(z) dot{z}^2 + F(z) dot{z} + G(z) = 0), where (z=z(t)) is a real variable and ({J(z), F(z), G(z)}) are suitable functions to be specified. It can further be mapped to the harmonic oscillator by making use of a nonlocal transformation, establishing its isochronicity. Computations employing the Jacobi last multiplier reveal that the system exhibits a bi-Hamiltonian character, i.e., there are two distinct types of Hamiltonians describing the system. For each of these, we perform a canonical quantization in the momentum representation and explore the possibility of bound states. While one of the Hamiltonians is seen to exhibit an equispaced spectrum with an infinite tower of states, the other one exhibits branching but can be solved exactly in closed form for certain choices of the parameters.</div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167690","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 Distillability Conjecture in Matrix Theory 论矩阵理论中的可蒸馏性猜想

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-22 DOI: 10.1007/s10773-025-06068-5

Saiqi Liu, Lin Chen

引用次数: 0

Phase-space Propagation of the Time-independent Schrödinger Equation for One-dimensional Rectangular Potential Systems 一维矩形势系统时无关Schrödinger方程的相空间传播

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-22 DOI: 10.1007/s10773-025-06064-9

Ivan E. Solarte, Santiago Barreiro-Medina, Carlos A. Arango

{"title":"Phase-space Propagation of the Time-independent Schrödinger Equation for One-dimensional Rectangular Potential Systems","authors":"Ivan E. Solarte, Santiago Barreiro-Medina, Carlos A. Arango","doi":"10.1007/s10773-025-06064-9","DOIUrl":"10.1007/s10773-025-06064-9","url":null,"abstract":"<div>A thorough analysis of one-dimensional rectangular potential systems, encompassing both barriers and wells, is provided within the framework of the phase-space propagation method for the Time-Independent Schrödinger Equation (TISE). An initial value representation approach is adopted, involving an ensemble of initial conditions invariant under phase-space flow on the left side of the barrier or well. The system’s periodicity in the free-motion regions, coupled with the simplicity of the potential, facilitates the derivation of analytical expressions for the evolution of the phase-space state across the barrier or well and onto the right side. The transfer matrix method is employed to obtain explicit analytical expressions for the phase-space state of the one-dimensional barrier and its transmission coefficient. A similar approach is extended to the potential energy well, where transcendental equations for both bound and virtual (anti-bound) states are derived through a geometrical analysis of the phase-space flow of the TISE and the stable and unstable manifolds. Furthermore, a detailed analysis of the transmission coefficient is conducted. It is shown that the energy curves for the nth bound state and the ((n+2))th virtual state tend toward the same asymptotic limit. This limit corresponds to the energy curve (or line) of the ((n+1))th resonance, offering deeper insights into the system’s energy spectrum and its behavior in the limit of infinite potential wells.</div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-06064-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168327","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

A Verifiable Dynamic Quantum Multi-secret Sharing Scheme Based on d-dimensional GHZ State 基于d维GHZ态的可验证动态量子多秘密共享方案

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-19 DOI: 10.1007/s10773-025-06077-4

Zixin Gao, Jiansheng Guo, Yuehua Li, Zhaowei Han

引用次数: 0

Majorana Stars of Odd and Even Coherent States of the Generalized Weyl-Heisenberg Oscillator (mathcal{A}_{kappa }) 广义Weyl-Heisenberg振子奇偶相干态的Majorana星 (mathcal{A}_{kappa })

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-19 DOI: 10.1007/s10773-025-06078-3

M. Alaoui, E. Mouhaoui, B. Maroufi, M. Daoud

引用次数: 0

Quantum Fisher Information in Curved Spacetime: Dirac Particles in Noisy Channels around a Schwarzschild Black Hole 弯曲时空中的量子费雪信息：史瓦西黑洞周围噪声通道中的狄拉克粒子

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-18 DOI: 10.1007/s10773-025-06073-8

Cookey Iyen, Muhammad Sanusi Liman, Benedict O. Ayomanor, Emem-obong Solomon James, Yame Mwanzang Philemon, Babatunde James Falaye

{"title":"Quantum Fisher Information in Curved Spacetime: Dirac Particles in Noisy Channels around a Schwarzschild Black Hole","authors":"Cookey Iyen, Muhammad Sanusi Liman, Benedict O. Ayomanor, Emem-obong Solomon James, Yame Mwanzang Philemon, Babatunde James Falaye","doi":"10.1007/s10773-025-06073-8","DOIUrl":"10.1007/s10773-025-06073-8","url":null,"abstract":"<div>Quantum information processing promises significant advantages over classical methods but remains vulnerable to decoherence induced by environmental interactions and spacetime effects. This work investigates the behavior of Quantum Fisher Information (QFI) as a diagnostic tool for entanglement and parameter estimation in a three-qubit entangled Dirac system subjected to dissipative noisy channels in the curved spacetime of a Schwarzschild black hole. In particular, we examine the influence of the squeezed generalized amplitude damping (SGAD) channel, along with its subchannels– generalized amplitude damping (GAD) and amplitude damping (AD)– on the QFI with respect to entanglement weight ((theta)) and phase ((phi)) parameters. Our results show that under strong squeezing ((r = 1)), the QFI with respect to (theta) becomes completely resistant to variations in the Hawking temperature ((T_H)), while still exhibiting degradation with increasing channel temperature ((T_C)). The QFI decay is significantly slower at (r = 1) compared to (r = 0), suggesting that squeezing can function as an error mitigation strategy. For QFI with respect to (phi), a transient spike is observed at (T_C = 2), potentially due to thermal resonance or non-monotonic decoherence, and this behavior is unaffected by (T_H). Similar patterns are noted in the GAD and AD channels, where (T_C) consistently dominates as the principal source of decoherence. Overall, the results highlight the intricate interplay between environmental noise, relativistic effects, and quantum error resilience in curved spacetime.</div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166508","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

Bifurcation Analysis and Soliton Structures of Davey-Stewartson Fokas System Davey-Stewartson - Fokas系统的分岔分析和孤子结构

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-17 DOI: 10.1007/s10773-025-06074-7

Muhammad Hammad, Amjad Hussain

{"title":"Bifurcation Analysis and Soliton Structures of Davey-Stewartson Fokas System","authors":"Muhammad Hammad, Amjad Hussain","doi":"10.1007/s10773-025-06074-7","DOIUrl":"10.1007/s10773-025-06074-7","url":null,"abstract":"<div>In this research, we studied the (2+1)-dimensional Davey-Stewartson Fokas (DS-Fokas) system, which serves as an optimal model for nonlinear pulse propagation in mono-mode optical fibers. We employ the Jacobi elliptic function approach to obtain the novel soliton solutions for the DS-Fokas system. The employed method is a very efficient and robust mathematical approach for solving non-linear models of various nonlinear Schrödinger’s equations (NLSEs) in mathematical physics and sciences. The obtained solutions are useful and significant in elucidating the DS-Fokas system’s physical aspects, as they provide insights. Furthermore, we discuss these obtained solutions graphically using 3D and 2D graphs to gain a deep understanding and vision of the analytical results. We also looked at the unpredictable and changing behaviors of the system we studied by using phase portraits, quasi-periodic and chaotic portraits, Poincare maps, bifurcation diagrams, and sensitivity. The theory of planar dynamical systems looks at chaotic patterns in the systems under study when the disturbance term (cos omega t) is added. Numerical simulations demonstrate how changes in frequency and amplitude impact the dynamics of the system.</div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166583","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

Quantum Gravitational Corrections to the Schwarzschild Spacetime and Quasinormal Frequencies 史瓦西时空和准非正常频率的量子引力修正

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-16 DOI: 10.1007/s10773-025-06053-y

Alexey Dubinsky

引用次数: 0

Quantum Hash Function Scheme via Continuous Time Quantum Walks Employing Alternate Hamiltonian in Evolution Operator 演化算子中使用交替哈密顿算子的连续时间量子行走的量子哈希函数方案

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-14 DOI: 10.1007/s10773-025-06067-6

Rachana Soni, Neelam Choudhary, Navneet Pratap Singh

引用次数: 0

Analytical Study of the (3+1)-Dimensional Hirota-Jimbo-Miwa Equation: Exact Solutions and Localized Excitations in Optical Field （3+1）维Hirota-Jimbo-Miwa方程的解析研究：光场的精确解和局域激发

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-07-12 DOI: 10.1007/s10773-025-06063-w

Siyu Chen, Yaqing Liu, Huining Wu, Manwai Yuen

{"title":"Analytical Study of the (3+1)-Dimensional Hirota-Jimbo-Miwa Equation: Exact Solutions and Localized Excitations in Optical Field","authors":"Siyu Chen, Yaqing Liu, Huining Wu, Manwai Yuen","doi":"10.1007/s10773-025-06063-w","DOIUrl":"10.1007/s10773-025-06063-w","url":null,"abstract":"<div>This paper explores the (3+1)-dimensional Hirota-Jimbo-Miwa equation, which is significant in fluid dynamics, nonlinear optics, and plasma physics. The complete integrability, bilinear form, Bäcklund transformation, and various exact solutions of this equation have not been thoroughly investigated before. Using the Hirota bilinear method and variable separation approach, we successfully construct multiple types of localized excitations, including multi-kink solitons, lump solutions, breather-kink hybrids, and folded solitons. We also develop two distinct bilinear Bäcklund transformations with free parameters, which provide a powerful tool for generating a wide range of solutions. Our findings reveal the rich solution structures of the Hirota-Jimbo-Miwa equation and their parametric regulation, offering new analytical models for complex wave phenomena in optical fields and fluid dynamics. The novelty of this work lies in the systematic study of the Hirota-Jimbo-Miwa equation and the proposal of new mathematical methods for constructing exact solutions of complex high-dimensional nonlinear systems.</div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 7","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165193","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