International Journal of Theoretical Physics最新文献

{"title":"On the Eigenfunctions of the Hartley-Bessel Transform: An Approach through Supersymmetric Wigner-Dunkl Quantum Mechanics","authors":"F. Bouzeffour","doi":"10.1007/s10773-025-05883-0","DOIUrl":"10.1007/s10773-025-05883-0","url":null,"abstract":"<div><p>Integral transforms, such as the Fourier transform and Hartley transform are indispensable tools in various scientific disciplines, particularly in solving differential and difference-differential equations. In quantum mechanics, these transforms play crucial roles, with the Fourier transform being pivotal in addressing the Schrödinger equation for harmonic oscillators. The Hartley transform, introduced as an alternative to the Fourier transform, shares essential properties and finds applications in supersymmetric quantum mechanics. This paper explores the integration of Wigner-Dunkl Quantum Mechanics with supersymmetric Quantum Mechanics, following early investigations by Post et al. and subsequent studies. We propose a modification to the conventional derivative operator by introducing the Dunkl operator, leading to the derivation of overcomplete bases for Hartley-Bessel transform eigenvectors.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963068","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}

{"title":"An Advanced Collaborative Routing Algorithm for Optimizing Entanglement and Resource Efficiency in Quantum Networks","authors":"Zhongrui Huang,&nbsp;Hong Lai,&nbsp;Linchun Wan","doi":"10.1007/s10773-024-05874-7","DOIUrl":"10.1007/s10773-024-05874-7","url":null,"abstract":"<div><p>The entanglement routing algorithm facilitates multi-path communication among users in quantum networks via quantum entanglement. While previous research primarily concentrated on maximizing throughput, practical implementations also necessitate consideration of service rates and quantum resource utilization. This paper presents a novel routing algorithm called Collaboratively Optimized Selection of Paths (COSP) that balances expected throughput, service rate and quantum resource utilization. The COSP algorithm integrates resource efficiency as a novel routing metric alongside the Monte Carlo Tree Search method to optimize resource allocation policies. To address high concurrency and conflicting requests, COSP implements a strategic grouping of user requests coupled with a “fail-retransmit” mechanism to ensure fairness. Simulation results reveal that COSP significantly outperforms traditional greedy resource allocation strategies, boosting handling of high concurrency scenarios by 50%, also significantly improving the service rate by up to 55%.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142941206","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}

{"title":"A Bilinear Neural Network Method for Solving a Generalized Fractional (2+1)-Dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt Equation","authors":"Nguyen Minh Tuan,&nbsp;Phayung Meesad","doi":"10.1007/s10773-024-05855-w","DOIUrl":"10.1007/s10773-024-05855-w","url":null,"abstract":"<div><p>The bilinear neural network method (BNNM), an approach of machine learning technique, includes the construction of an extended homoclinic test approach (EHTA) to attain the solutions of a generalized fractional (2+1)-dimensional Konopelchenko - Dubrovsky - Kaup - Kupershmidt (gfKDKK) equation which plays a pivotal role in the study of dynamics and plasma physics. The technique provides a new construction focused on finding solutions to the gfKDKK equation using the BNNM. Based on an EHTA formulation, BNNM offers an open, straightforward, and varied approach to building test functions and collecting solutions. In this study, the solutions obtained are constructed on the expression of Hirota’s bilinear operator, which encompasses a variety of solutions such as peak soliton solution, solitary wave solution, and periodic soliton solutions. The BNNM’s ability to generate diverse solutions highlights its versatility and potential for addressing complex nonlinear partial differential equations. The visualization is graphed in 3D and 1D contour using a Python application to investigate the behavior of the solutions.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939415","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}

{"title":"The Evaporation and Radiation Power of a Quantum Corrected Schwarzschild Black hole by the Generalized Uncertainty Principle","authors":"Tianxu Huo,&nbsp;Chengzhou Liu","doi":"10.1007/s10773-024-05857-8","DOIUrl":"10.1007/s10773-024-05857-8","url":null,"abstract":"<div><p>Considering the quantum gravity effects, we study the black hole evaporation and calculate its radiation power. For the corrected Schwarzschild black hole with the quantum fluctuations of spacetime, we use the corrected Stefan-Boltzmann law obtained within the framework of the Generalized Uncertainty Principle (GUP) to investigate the black hole’s radiation power. We can see that as the black hole evaporates, the radiation power gradually increases, reaching a maximum then rapidly decreasing to zero, at which point the black hole stops evaporating and leaves a remnant. The remnant originates from the GUP effects, and its mass is independent of the quantum fluctuation coefficient <span>(:a)</span>. Additionally, we discover that quantum fluctuations effects increase the radiation power, whereas the GUP effects decrease the radiation power. These effects are particularly significant for black holes approaching the Planck mass. Utilizing the radiation power, we derive the lifespan of the quantum-corrected black hole. It is observed that the lifespan of the black hole decreases as <span>(:a)</span> increases. However, for large-mass black holes, quantum fluctuations do not significantly influence the overall lifespan. Finally, the black hole remnants as dark matter candidates are briefly discussed.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938908","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}

{"title":"Quantum Theory of Electron Spin Based on the Extended Least Action Principle and Information Metrics of Spin Orientations","authors":"Jianhao M. Yang","doi":"10.1007/s10773-024-05878-3","DOIUrl":"10.1007/s10773-024-05878-3","url":null,"abstract":"<div><p>Quantum theory of electron spin is developed here based on the extended least action principle and assumptions of intrinsic angular momentum of an electron with random orientations. The novelty of the formulation is the introduction of relative entropy for the random orientations of intrinsic angular momentum when extremizing the total actions. Applying recursively this extended least action principle, we show that the quantization of electron spin is a mathematical consequence when the order of relative entropy approaches a limit. In addition, the formulation of the measurement probability when a second Stern-Gerlach apparatus is rotated relative to the first Stern-Gerlach apparatus, and the Schrödinger-Pauli equation, are recovered successfully. Furthermore, the principle allows us to provide an intuitive physical model and formulation to explain the entanglement phenomenon between two electron spins. In this model, spin entanglement is the consequence of the correlation between the random orientations of the intrinsic angular momenta of the two electrons. Since spin orientation is an intrinsic local property of the electron, the correlation of spin orientations can be preserved and manifested even when the two electrons are remotely separated. The entanglement of a spin singlet state is represented by two joint probability density functions that reflect the orientation correlation. Using these joint probability density functions, we prove that the Bell-CHSH inequality is violated in a Bell test. To test the validity of the spin-entanglement model, we propose a Bell test experiment with time delay. Such an experiment starts with a typical Bell test that confirms the violation of the Bell-CHSH inequality but adds an extra step that Bob’s measurement is delayed with a period of time after Alice’s measurement. As the time delay increases, the test results are expected to change from violating the Bell-CHSH inequality to not violating the inequality.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-024-05878-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938909","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}

{"title":"Security Analysis of the Quantum (t, m, n) Threshold Group Blind Signature Scheme and its Improvement","authors":"Jia-Hao Zhang,&nbsp;Nian Xue,&nbsp;Hao Wang,&nbsp;Tao Zhang,&nbsp;Xin Huang,&nbsp;Jin-Xian Li,&nbsp;Lei Du","doi":"10.1007/s10773-025-05881-2","DOIUrl":"10.1007/s10773-025-05881-2","url":null,"abstract":"<div><p>Recently, a threshold group blind quantum signature scheme has been proposed. Compared to other similar schemes, this scheme has flexibility in the number of signers and the original message is blind. However, our analysis revealed two security vulnerabilities in this scheme. First, some of the shared secret keys have issues with leakage to other participants. Second, the blindness of the original message is partially invalidated for the signer and the third-party. In this paper, we proved these two vulnerabilities and proposed an improved scheme also based on entanglement swapping. In the improved scheme, a trusted third-party is responsible for generating the threshold key, the sender is responsible for blinding the original message, at least <span>(varvec{t})</span> signers collaborate to generate the signature, and the third-party and verifier jointly perform the verification. The improved scheme not only overcomes the vulnerabilities of the old scheme but also has relatively better efficiency. In addition, this scheme has unforgeability and undeniability, the number of signers remains flexible and it satisfies threshold security.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938993","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}

{"title":"Effects of Charge on Perfect Fluid Stellar Structure and Moment of Inertia in (f(mathcal {R})) Gravity","authors":"Adnan Malik,&nbsp;Aisha Rashid,&nbsp;M Farasat Shamir,&nbsp;Fatemah Mofarreh","doi":"10.1007/s10773-024-05872-9","DOIUrl":"10.1007/s10773-024-05872-9","url":null,"abstract":"<div><p>In this paper, we investigate the dynamics of charged compact stars in <span>(f(mathcal {R}))</span> theory of gravity, where <i>f</i> is a function of the Ricci scalar <span>(mathcal {R})</span>. For this purpose, we investigate the field equations in the presence of charge using <span>(f(mathcal {R}))</span> modified gravity. Moreover, we manipulate the field equations to get a single non-linear differential equation due to complicated nature of equations and employ some numerical techniques to get the desired solutions. We also investigate some physical properties of compact stars including energy density, pressure component, equation of state parameter, energy conditions, and causality conditions respectively. Furthermore, we examine the dynamics of slowly rotating compact stars by using <span>(f(mathcal {R}) = mathcal {R} + alpha mathcal {R}^2)</span> gravity model. For our current analysis, we have chosen six compact stars namely <span>(PSR1903 + 327)</span>, <span>(PSR1937 + 21 )</span>, <span>(PSRJ1614 -2230 )</span>, <span>(Cen~X-3 )</span>, <span>(Vela ~X-1 )</span> and <span>(4U1608-52)</span>. Employing a first-order approximation in angular velocity, we calculate the mass-radius relationship and moment of inertia for these considered compact stars. Additionally, we investigate the relationships between mass and energy density with respect to the radius of the compact star, which exhibits the natural behavior, thereby validating our approach.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938708","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}

{"title":"Certain Integrable Properties and Analytic Solutions of a Generalized Variable-Coefficient Extended Korteweg-de Vries Equation with an External-Force Term for a Fluid or a Cosmic Plasma","authors":"Hao-Dong Liu,&nbsp;Bo Tian,&nbsp;Yu-Qi Chen,&nbsp;Chong-Dong Cheng,&nbsp;Xiao-Tian Gao,&nbsp;Hong-Wen Shan","doi":"10.1007/s10773-024-05840-3","DOIUrl":"10.1007/s10773-024-05840-3","url":null,"abstract":"<div><p>In this paper, we investigate a generalized variable-coefficient extended Korteweg-de Vries equation with an external-force term for a fluid or a cosmic plasma. We obtain a Lax pair under some constraints via the Abolwitz-Kaup-Newell-Segur procedure. Based on that Lax pair, infinite conservation laws, Riccati- and Wahlquist-Estabrook-type auto-Bäcklund transformations are constructed. Via the Hirota method, we obtain some bilinear forms and <i>N</i>-soliton solutions, and derive the <i>H</i>th-order breather and hybrid solutions through the complex conjugated transformations, where <i>N</i> and <i>H</i> are two positive integers. The higher-order smooth positon solutions are constructed through the limit method. Moreover, those solutions are graphically presented under some choices of the variable coefficients and parameters.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938780","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}

{"title":"Impact of Rashba Coupling on Entanglement and Quantum Teleportation Fidelity in Graphene Systems","authors":"Younes Moqine,&nbsp;Brahim Adnane,&nbsp;Aziz Khribach,&nbsp;Abdelghani El Houri,&nbsp;Ayyoub El Mouatassim,&nbsp;Rachid Houça,&nbsp;Soufiane Belhouideg","doi":"10.1007/s10773-024-05879-2","DOIUrl":"10.1007/s10773-024-05879-2","url":null,"abstract":"<div><p>This paper investigates the significant role of Rashba coupling in controlling entanglement within graphene systems. We demonstrate that tuning Rashba coupling allows for effective enhancement or suppression of entanglement, with higher values providing increased robustness against thermal fluctuations. Our results indicate that achieving substantial entanglement may require external factors, such as enhanced Rashba interactions. Notably, while elevated temperatures typically degrade quantum coherence, we find that significant Rashba coupling can preserve quantum correlations, maintaining coherence under challenging thermal conditions. This preservation is essential for improving the fidelity of quantum teleportation processes, which depend on the availability of robust entangled states. Overall, the interplay between Rashba coupling, temperature, and entanglement in graphene carries significant implications for future advancements in quantum technology. The potential to develop stable and efficient quantum information systems utilizing graphene may lead to transformative breakthroughs in quantum computing and communication, underscoring the necessity for continued exploration in this promising area.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938717","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}

{"title":"Visualizing Quantum Entanglement in Bose-Einstein Condensates Without State Vectors","authors":"Russell B. Thompson","doi":"10.1007/s10773-024-05880-9","DOIUrl":"10.1007/s10773-024-05880-9","url":null,"abstract":"<div><p>Ring polymer self-consistent field theory is used to calculate the critical temperatures and heat capacities of an ideal Bose gas for an order of magnitude more particles than previously reported. A <span>(varvec{lambda })</span>-transition indicative of Bose-Einstein condensation is observed as expected. Using a known proof of spatial mode entanglement in Bose-Einstein condensates, a relationship between boson exchange and quantum entanglement is established. This is done without the use of state vectors, since ring polymer quantum theory uses instead a thermal degree of freedom, sometimes called the “imaginary time”, to map classical statistical mechanics onto non-relativistic quantum mechanics through the theorems of density functional theory. It is shown that quantum phenomena, such as Bose-Einstein condensation, boson exchange, entanglement and contextuality, can be visualized in terms of merging and separating ring polymer threads in thermal-space. A possible extension to fermions is mentioned.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938779","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}