{"title":"Cumulated Effects of Magnetic Field, Electron–Phonon and Spin–Orbit Interaction on Thermodynamics Properties of Mono Layer Graphene","authors":"D. B. Soh Fongang, T. V. Diffo, A. J. Fotue","doi":"10.1007/s10773-024-05779-5","DOIUrl":"10.1007/s10773-024-05779-5","url":null,"abstract":"<div><p>We study the electron–phonon and Rashba spin–orbit coupling effects on thermodynamic properties of a monolayer graphene under magnetic field. We propose a diagonalization procedure to solve the Fröhlich-type Hamiltonian based on the Lee–Low–Pines theory. The study reveals that, the cyclotron frequency, Debye cut-off wavenumber (DCOW) and Rashba spin–orbit coupling (RSOC) modulate the thermodynamic properties through Tsallis formalism for different substrates. It is also found that RSOC induce a gap formation while dropping the disorder thus rising up the potential application.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410083","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":"When will Two Agents Agree on a Quantum Measurement Outcome? Intersubjective Agreement in QBism","authors":"Rüdiger Schack","doi":"10.1007/s10773-024-05790-w","DOIUrl":"10.1007/s10773-024-05790-w","url":null,"abstract":"<div><p>In the QBist approach to quantum mechanics, a measurement is an action an agent takes on the world external to herself. A measurement device is an extension of the agent and both measurement outcomes and their probabilities are personal to the agent. According to QBism, nothing in the quantum formalism implies that the quantum state assignments of two agents or their respective measurement outcomes need to be mutually consistent. Recently, Khrennikov has claimed that QBism’s personalist theory of quantum measurement is invalidated by Ozawa’s so-called intersubjectivity theorem. Here, following Stacey, we refute Khrennikov’s claim by showing that it is not Ozawa’s mathematical theorem but an additional assumption made by Khrennikov that QBism is incompatible with. We then address the question of intersubjective agreement in QBism more generally. Even though there is never a necessity for two agents to agree on their respective measurement outcomes, a QBist agent can strive to create conditions under which she would expect another agent’s reported measurement outcome to agree with hers. It turns out that the assumptions of Ozawa’s theorem provide an example for just such a condition.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11455726/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142387177","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":"Dynamical Study of Nonlinear Fractional-order Schrödinger Equations with Bifurcation, Chaos and Modulation Instability Analysis","authors":"Xu Wang, Yiqun Sun, Jianming Qi, Shaheera Haroon","doi":"10.1007/s10773-024-05776-8","DOIUrl":"10.1007/s10773-024-05776-8","url":null,"abstract":"<div><p>Our research on fractional-order nonlinear Schrödinger equations (FONSEs) reveals several new findings, which may contribute to our comprehension of wave dynamics and hold practical importance for the field of ocean engineering. We have employed an innovative approach to derive double periodic Weierstrass elliptic function solutions for FONSEs, thereby offering exact solutions for these equations. Additionally, we have observed that fractional derivatives significantly impact the dynamics of solitary waves, potentially holding significance for the design of ocean structures. Our research reveals the previously unknown phenomenon of oblique wave variations, which can impact the reliability and lifespan of offshore structures. Our findings highlight the significance of taking into account various fractional derivatives in future studies. Using the planar dynamical system technique, we gain a deeper understanding of the behavior of FONSEs, revealing critical thresholds and regions of chaotic behavior. Linear stability analysis provides a strong framework for studying the modulation instability of dynamical systems, shedding light on the conditions and mechanisms of modulated behavior. Applying this analysis to the FONSEs offers insights into the critical parameters, growth rates, and formation of modulated patterns, with potential implications for innovative research in ocean engineering.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409315","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":"Exact Solutions and Qualitative Analysis of the Stochastic Model for Embedded Solitons with (chi ^{(2)}) and (chi ^{(3)}) Nonlinear Susceptibilities","authors":"Yu-Fei Chen","doi":"10.1007/s10773-024-05793-7","DOIUrl":"10.1007/s10773-024-05793-7","url":null,"abstract":"<div><p>The exact solutions and qualitative analysis of the stochastic governing model for embedded solitons with <span>(chi ^{(2)})</span> and <span>(chi ^{(3)})</span> nonlinear susceptibilities are investigated in this study. The model introduces a stochastic term-white noise for the first time, bringing the model closer to reality. The trial equation method is used for mathematical analysis and the complete discriminant system for polynomial method is used for qualitative analysis. Using the bifurcation theory and the complete discriminant system for polynomial method, the existence of the soliton and periodic solutions is confirmed and the exact travelling wave solutions are generated to validate our findings. Furthermore, we explore the various sorts of exact solutions by illustrating the associated phase diagrams and providing two-dimensional diagrams to demonstrate the model’s dynamical behavior. The plethora of exact solutions shows that the effect of white noise exists only in the phase component of the solitons, providing insight into the optical solitons of stochastic nonlinear models.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409316","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 Multi-Parameter Estimation Near Criticality in Ising-XXZ Diamond Structure","authors":"Bing Yan, Ping Chen","doi":"10.1007/s10773-024-05778-6","DOIUrl":"10.1007/s10773-024-05778-6","url":null,"abstract":"<div><p>Quantum Fisher information (QFI) is frequently utilized to investigate quantum criticality in various spin-chain models. However, little attention has been given to the quantum Fisher information matrix (QFIM) in this context. This study examines criticality and the strategy for the simultaneous estimation of multiple parameters using the QFIM in an Ising-XXZ diamond structure at finite temperatures. Our findings demonstrate that by analyzing the finite-temperature scaling behavior, the variances derived from the QFIM can accurately estimate the critical point in this model. Additionally, we observe that the behavior of variances is contingent upon both the system structure and the parameters used. Moreover, whether the multi-parameter simultaneous estimation strategy is advantageous over individual parameter estimation depends on the system structure, temperature, and the parameters applied.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142415117","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":"Study of Gravastar in Einstein-Gauss-Bonnet Gravity","authors":"Hasrat Hussain Shah, Hassan Shah, Zahid Ahmad, Manel Hleili, Sardar Muhammad Hussain","doi":"10.1007/s10773-024-05747-z","DOIUrl":"10.1007/s10773-024-05747-z","url":null,"abstract":"<div><p>The present work investigates a new model of the gravastar in a framework of 5-Dimensional (5D) Einstein-Gauss-Bonnet (EGB) gravitational theory. Adopting the approach of Mazur and Mottala (<i>Proc. Natl. Acad. Sci.</i>, <i>101</i>, 9545–9550, 2001, 2004) we divide the geometry of the stellar spherical object into three different portions, as follows (<i>i</i>) interior portion (<i>ii</i>) intermediate spherical thin shell and (<i>iii</i>) exterior portion. The interior portion contains dark energy having negative pressure. The thin shell region is made up of ultra-relativistic plasma where pressure and energy density are directly proportional. The exterior portion is completely vacuumed. By considering these assumptions, a set of stable and non-singular exact solutions for a gravastar has been investigated. In our model, graphical behavior shows that the obtained solution is physically reasonable and interesting.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414803","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}
B. T. Abdulazizov, P. J. Baymatov, M. S. Tohirjonov, Kh. N. Juraev, O. Yunusov, P. M. Jalolova
{"title":"Effects of Band Nonparabolicity on the Resonance Peaks of the Single-Particle Entropy of a Two-Dimensional Electron Gas","authors":"B. T. Abdulazizov, P. J. Baymatov, M. S. Tohirjonov, Kh. N. Juraev, O. Yunusov, P. M. Jalolova","doi":"10.1007/s10773-024-05782-w","DOIUrl":"10.1007/s10773-024-05782-w","url":null,"abstract":"<div><p>Numerical and analytical results of a study of the single-particle entropy of a quasi-two-dimensional electron gas with allowance for the nonparabolicity of the dispersion are presented. The dependence of the single-particle entropy on the chemical potential of the gas at and far from the resonance points is analysed. It is shown that at low temperatures, the nonparabolicity of the band gives a small correction to the single-particle entropy. Both at and far from the resonance point, this correction is proportional to the product of the nonparabolicity coefficient and temperature <span>(alpha)</span>T. The influence of the broadening of the size quantization levels on the single-particle entropy is estimated numerically. The results obtained are presented for different temperatures of the degree of nonparabolicity of the conduction band and the magnitude of broadening.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414762","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}
J. G. Houeto, L. A. Hinvi, C. H. Miwadinou, H. F. Dozounhekpon, A. V. Monwanou
{"title":"Dynamics of the Classical Counterpart of a Quantum Nonlinear Oscillator with Parametric Dissipation","authors":"J. G. Houeto, L. A. Hinvi, C. H. Miwadinou, H. F. Dozounhekpon, A. V. Monwanou","doi":"10.1007/s10773-024-05787-5","DOIUrl":"10.1007/s10773-024-05787-5","url":null,"abstract":"<div><p>This work analyzes the effect of parametric dissipation on the dynamics of the classical oscillator counterpart of a quantum nonlinear oscillator driven by a position-dependent mass. The multiple scale method is used to search the different possible states of resonances and two types of resonances are analyzed. The influence of system parameters and in particular that of parametric dissipation on the resonance amplitude is studied. The complete dynamics and transition to chaos of the oscillator are analyzed numerically using the Runge-Kutta algorithm of order 4. Bifurcation diagrams, Lyapunov exponents and phase spaces are used and the frequency doubling phenomenon is obtained and the limits of the system oscillations are widened.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414828","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":"On a Spin-1/2 Particle in the Global Monopole Spacetime","authors":"R. L. L. Vitória, Kleber Anderson T. da Silva","doi":"10.1007/s10773-024-05788-4","DOIUrl":"10.1007/s10773-024-05788-4","url":null,"abstract":"<div><p>We have investigated the effects of the global monopole on a spin-1/2 particle. In this sense, we analyze the relativistic quantum dynamics, where we determine the eigenfunctions in terms of Bessel functions. In order to determine bound state solutions, we impose two possible scenarios that characterize the confinement of the particle in the presence of the topological defect, from which we obtain the energy profile for both scenarios, in which we can perceive the influences of the background on the levels relativistic energy of fermionic particle.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414741","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}
A. Benchikha, B. Hamil, B. C. Lütfüoğlu, B. Khantoul
{"title":"Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential","authors":"A. Benchikha, B. Hamil, B. C. Lütfüoğlu, B. Khantoul","doi":"10.1007/s10773-024-05786-6","DOIUrl":"10.1007/s10773-024-05786-6","url":null,"abstract":"<div><p>This paper presents an investigation into one- and three-dimensional harmonic oscillators with time-dependent mass and frequency, within the framework of the Dunkl formalism, which is constituted by replacing the ordinary derivative with the Dunkl derivative. To ascertain a general form of the wave functions the Lewis-Riesenfeld method was employed. Subsequently, an exponentially changing mass function in time was considered and the parity-dependent quantum phase, energy eigenvalues, and the corresponding wave functions were derived in one dimension. The findings revealed that the mirror symmetries affect the wave functions, thus the associated probabilities. Finally, the investigation was extended to the three-dimensional case, where it was demonstrated that, as with the solution of the radial equation, the solutions of the angular equation could be classified according to their mirror symmetries.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414884","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}