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Dirac Fermions with Electric Dipole Moment and Position-dependent Mass in the Presence of a Magnetic Field Generated by Magnetic Monopoles
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-02-05 DOI: 10.1007/s10773-025-05901-1
R. R. S. Oliveira
{"title":"Dirac Fermions with Electric Dipole Moment and Position-dependent Mass in the Presence of a Magnetic Field Generated by Magnetic Monopoles","authors":"R. R. S. Oliveira","doi":"10.1007/s10773-025-05901-1","DOIUrl":"10.1007/s10773-025-05901-1","url":null,"abstract":"<div><p>In this paper, we determine the bound-state solutions for Dirac fermions with electric dipole moment (EDM) and position-dependent mass (PDM) in the presence of a radial magnetic field generated by magnetic monopoles. To achieve this, we work with the <span>((2+1))</span>-dimensional (DE) Dirac equation with nonminimal coupling in polar coordinates. Posteriorly, we obtain a second-order differential equation via quadratic DE. Solving this differential equation through a change of variable and the asymptotic behavior, we obtain a generalized Laguerre equation. From this, we obtain the bound-state solutions of the system, given by the two-component Dirac spinor and by the relativistic energy spectrum. So, we note that such spinor is written in terms of the generalized Laguerre polynomials, and such spectrum (for a fermion and an antifermion) is quantized in terms of the radial and total magnetic quantum numbers <i>n</i> and <span>(m_j)</span>, and explicitly depends on the EDM <i>d</i>, PDM parameter <span>(kappa )</span>, magnetic charge density <span>(lambda _m)</span>, and on the spinorial parameter <i>s</i>. In particular, the quantization is a direct result of the existence of <span>(kappa )</span> (i.e., <span>(kappa )</span> acts as a kind of “external field or potential”). Besides, we also analyze the nonrelativistic limit of our results, that is, we also obtain the nonrelativistic bound-state solutions. In both cases (relativistic and nonrelativistic), we discuss in detail the characteristics of the spectrum as well as graphically analyze its behavior as a function of <span>(kappa )</span> and <span>(lambda _m)</span> for three different values of <i>n</i> (ground state and the first two excited states).</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143184757","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
Singular Lagrangians and the Hamilton-Jacobi Formalism in Classical Mechanics
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-02-03 DOI: 10.1007/s10773-025-05887-w
Luis Gerardo Romero Hernández, Jaime Manuel Cabrera, Ramón Eduardo Chan López, Jorge Mauricio Paulin Fuentes
{"title":"Singular Lagrangians and the Hamilton-Jacobi Formalism in Classical Mechanics","authors":"Luis Gerardo Romero Hernández,&nbsp;Jaime Manuel Cabrera,&nbsp;Ramón Eduardo Chan López,&nbsp;Jorge Mauricio Paulin Fuentes","doi":"10.1007/s10773-025-05887-w","DOIUrl":"10.1007/s10773-025-05887-w","url":null,"abstract":"<div><p>This work conducts a Hamilton-Jacobi analysis of classical dynamical systems with internal constraints. We examine four systems, all previously analyzed by David Brown: three with familiar components (point masses, springs, rods, ropes, and pulleys) and one chosen specifically for its detailed illustration of the Dirac-Bergmann algorithm’s logical steps. Including this fourth system allows for a direct and insightful comparison with the Hamilton-Jacobi formalism, thereby deepening our understanding of both methods. To provide a thorough analysis, we classify the systems based on their constraints: non-involutive, involutive, and a combination of both. We then use generalized brackets to ensure the theory’s integrability, systematically remove non-involutive constraints, and derive the equations of motion. This approach effectively showcases the Hamilton-Jacobi method’s ability to handle complex constraint structures. Additionally, our study includes an analysis of a gauge system, highlighting the versatility and broad applicability of the Hamilton-Jacobi formalism. By comparing our results with those from the Dirac-Bergmann and Faddeev-Jackiw algorithms, we demonstrate that the Hamilton-Jacobi approach is simpler and more efficient in its mathematical operations and offers advantages in computational implementation.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107936","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
Comparative Analysis of the Singularly Perturbed Generalized Burgers-Huxley Problem via Approximate Lie Symmetry and Exponentially Fitted Finite Element Method
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-02-03 DOI: 10.1007/s10773-025-05882-1
Anjali Kwatra, Vivek Sangwan, Rajesh Kumar Gupta
{"title":"Comparative Analysis of the Singularly Perturbed Generalized Burgers-Huxley Problem via Approximate Lie Symmetry and Exponentially Fitted Finite Element Method","authors":"Anjali Kwatra,&nbsp;Vivek Sangwan,&nbsp;Rajesh Kumar Gupta","doi":"10.1007/s10773-025-05882-1","DOIUrl":"10.1007/s10773-025-05882-1","url":null,"abstract":"<div><p>Singularly perturbed generalized Burgers-Huxley equation (SPGBHE) models nonlinear wave phenomena in fluid dynamics, combustion, and biological systems. This study addresses the solutions of SPGBHE through approximate Lie symmetry analysis (LSA) and finite element method (FEM), with rigorous comparison validating solutions obtained through both methodologies. The method of approximate symmetry, which involves expanding the infinitesimal generator in a perturbation series is implemented to solve the governing equation, yielding approximate infinitesimal generators essential for constructing the optimal system of Lie sub-algebra. A set of group invariant solutions is determined for each reduction derived from corresponding sub-algebras mentioned in the system. On the second part, exponentially fitted finite element method (EF-FEM) along with the explicit Euler scheme is implemented using a piecewise uniform Shishkin mesh to examine the equation from a numerical perspective. Stability and uniform convergence of outlined approach is discussed to provide credibility to the numerical scheme. Moreover, solutions derived through each technique are authenticated by firm comparison following a detailed error analysis, including error table and comparison plots. Visual representations of solution profiles for specific outcomes of LSA are also presented to see the impact of the singular perturbation parameter <span>((epsilon ))</span> alongside other parameters.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108242","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
Thermodynamics on the Non-Commutative Dirac Oscillator with the Mie-Type Potential
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-02-01 DOI: 10.1007/s10773-025-05893-y
M. Qolizadeh, S. M. Motevalli, S. S. Hosseini
{"title":"Thermodynamics on the Non-Commutative Dirac Oscillator with the Mie-Type Potential","authors":"M. Qolizadeh,&nbsp;S. M. Motevalli,&nbsp;S. S. Hosseini","doi":"10.1007/s10773-025-05893-y","DOIUrl":"10.1007/s10773-025-05893-y","url":null,"abstract":"<div><p>In this paper, we investigated the relativistic Dirac oscillator in commutative and noncommutative space. We solved this equation in an accurate analytical method and obtained the corresponding energy eigenvalues and eigenfunctions. Additionally, we examined the thermal properties of the N-fermion system, including the entropy, specific heat capacity, internal energy, and Helmholtz free energy. Furthermore, we demonstrated that in the limit θ → 0, the commutative result is recovered.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107906","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
Renormalization Group Approach for Modified vdP Oscillator with (mathcal{P}mathcal{T}) Symmetric Non-Hermitian Interaction
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-02-01 DOI: 10.1007/s10773-025-05896-9
Biswajit Bhowmick, Rohit Mahendra Shinde, Bhabani Prasad Mandal
{"title":"Renormalization Group Approach for Modified vdP Oscillator with (mathcal{P}mathcal{T}) Symmetric Non-Hermitian Interaction","authors":"Biswajit Bhowmick,&nbsp;Rohit Mahendra Shinde,&nbsp;Bhabani Prasad Mandal","doi":"10.1007/s10773-025-05896-9","DOIUrl":"10.1007/s10773-025-05896-9","url":null,"abstract":"<div><p>We consider a modified version of the well-known 2d vdP oscillator with a new non-Hermitian interaction. The usual perturbative approach fails to provide the classical dynamics of the system as the classical solutions become divergent in the long time limit. These kinds of divergences are similar to what occurs in quantum field theory and critical phenomena. The Renormalization Group (RG) technique for the dynamical system has been used to eliminate the divergences in the perturbative solution of the 2d vdP oscillator and to provide a physically acceptable solution which is shown to be consistent with numerical study. We further investigate the model in the framework of non-Hermitian quantum mechanics to show the <span>(mathcal{P}mathcal{T})</span> phase transition in the system.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107910","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 (mathcal {Z})-Solitons on Magneto-Fluid Spacetimes in f(r)-Gravity
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-01-28 DOI: 10.1007/s10773-025-05900-2
Shahroud Azami, Uday Chand De
{"title":"Generalized (mathcal {Z})-Solitons on Magneto-Fluid Spacetimes in f(r)-Gravity","authors":"Shahroud Azami,&nbsp;Uday Chand De","doi":"10.1007/s10773-025-05900-2","DOIUrl":"10.1007/s10773-025-05900-2","url":null,"abstract":"<div><p>This research paper explores the characteristics of almost generalized <span>(mathcal {Z})</span>-solitons and almost gradient generalized <span>(mathcal {Z})</span>-solitons in the framework of magneto-fluid spacetime governed by <i>f</i>(<i>r</i>)-gravity. The investigation initiates with the derivation of the divergence of the almost generalized <span>(mathcal {Z})</span>-soliton vector field, articulated in relation to the scalar curvature pertinent to magneto-fluid spacetime in the context of <i>f</i>(<i>r</i>)-gravity. Following this, we employ the generalized <span>(mathcal {Z})</span>-soliton as a metric to delineate the essential conditions for the scalar curvature linked to this specific spacetime. Additionally, we determine the criteria under which the soliton can exhibit behaviors of shrinking, steady, or expanding.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109623","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
Two-Dimensional Pseudo-Steady Two-Phase Flow Around a Convex Corner
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-01-27 DOI: 10.1007/s10773-025-05899-6
Zhijian Wei, Lihui Guo
{"title":"Two-Dimensional Pseudo-Steady Two-Phase Flow Around a Convex Corner","authors":"Zhijian Wei,&nbsp;Lihui Guo","doi":"10.1007/s10773-025-05899-6","DOIUrl":"10.1007/s10773-025-05899-6","url":null,"abstract":"<div><p>In this paper, we investigate the problem of two-phase flow around the convex corner expanding into the vacuum. This flow is described as a compressible, inviscid, isentropic two-dimensional pseudo-steady two-phase flow model of drift-flux type with the logarithmic equation of state and the irrotational condition. Its solution can be obtained by solving Goursat problems, including the interaction between a centered simple wave and a backward planar rarefaction wave, as well as an inclined wall reflection problem. Moreover, the hyperbolicity, <span>(C^0)</span> and <span>(C^1)</span> estimates of this solution are obtained by the characteristic decomposition and the invariant region. Furthermore, some typical numerical simulations with specific initial conditions are offered.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109783","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
Classical Dynamical Consequences of the Particle in a Uniform Gravitational Field due to Minimal Length
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-01-24 DOI: 10.1007/s10773-025-05894-x
Md Moniruzzaman, Md Shariful Alam, Rivu Ranjan Mondal
{"title":"Classical Dynamical Consequences of the Particle in a Uniform Gravitational Field due to Minimal Length","authors":"Md Moniruzzaman,&nbsp;Md Shariful Alam,&nbsp;Rivu Ranjan Mondal","doi":"10.1007/s10773-025-05894-x","DOIUrl":"10.1007/s10773-025-05894-x","url":null,"abstract":"<div><p>In this paper, we study and analyze the impact of the minimal length on the motion of a classical particle in a uniform gravitational field. The particle moves faster for the existence of the length. The maximum height attained by the particle thrown vertically upward from the earth’s surface is different from the conventional result with a correction term involving the deformation parameter for minimal length along with the initial momentum and mass of the particle. The time of flight and ascent are found the same as in conventional classical mechanics.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109055","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
Quasinormal Modes and the Hod’s Bound in the Effective Quantum Gravity
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-01-24 DOI: 10.1007/s10773-024-05847-w
Zainab Malik
{"title":"Quasinormal Modes and the Hod’s Bound in the Effective Quantum Gravity","authors":"Zainab Malik","doi":"10.1007/s10773-024-05847-w","DOIUrl":"10.1007/s10773-024-05847-w","url":null,"abstract":"<div><p>Quantum-corrected models of Schwarzschild-like black holes that preserve general covariance have been developed in [1]. In this work, we derive analytic approximations for the quasinormal modes of scalar, electromagnetic, and gravitational perturbations around these black holes. A comparison with numerical data demonstrates the high accuracy of the derived analytic formulas for moderate and high values of the multipole number. Furthermore, we use these expressions to show that the Hod’s upper bound on the damping rate of the fundamental mode is satisfied for these quantum-corrected black holes.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109056","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
Travelling Wave Solution for Generalised (4+1) Dimensional Fractional Order Fokas Equation Using Residual Power Series method
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-01-23 DOI: 10.1007/s10773-025-05898-7
Ashrita Patra, Tapasi Pasayat
{"title":"Travelling Wave Solution for Generalised (4+1) Dimensional Fractional Order Fokas Equation Using Residual Power Series method","authors":"Ashrita Patra,&nbsp;Tapasi Pasayat","doi":"10.1007/s10773-025-05898-7","DOIUrl":"10.1007/s10773-025-05898-7","url":null,"abstract":"<div><p>In this article, the fractional order (4+1) dimensional Fokas equation has been analyzed by using an efficient approach called Residual power series Method (RPSM). On Fokas equation, the remarkable dependence of modeling the tidal waves and ocean, especially long water waves and tsunami has been noticed. To study the wave groups in water through measurable depth, external or internal waves in oceans and rivers Fokas model can be utilized. To acquire the approximate solitary wave solutions the RPSM has been employed by using Caputo fractional derivative. The acquired results reveal the efficiency and simplicity of the suggested technique which is more conscientious to solve higher dimensional nonlinear ordinary as well as partial differential equations.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108919","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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