{"title":"Role of Heisenberg’s Uncertainty Principle in Dynamical Reheating of the Primordial Universe","authors":"Bhargabi Saha, Malay K. Nandy","doi":"10.1007/s10773-025-06141-z","DOIUrl":"10.1007/s10773-025-06141-z","url":null,"abstract":"<div><p>In this work, we present a novel approach for studying the inflationary and reheating stages of the early universe by incorporating a quantum-mechanical constraint on radiation production, derived from the Heisenberg uncertainty principle. This constraint provides a fundamental upper bound on the rate at which radiation energy density can be generated, offering a novel framework for examining the efficiency and dynamics of energy transfer from the inflaton field to radiation. With this setup, we formulate a system of coupled, nonlinear differential equations that govern the depletion of inflaton energy, the growth of radiation, and the dynamics of cosmic expansion, ensuring consistency with exact energy conservation and accounting for backreaction from radiation production. Solving this nonlinear system numerically with initial conditions that satisfy the slow-roll criteria for 60 e-folds of inflation, we find that radiation production begins even during the inflationary phase and increases significantly afterwards. The reheating process is found to satisfy the Kofman-Yi criterion for successful reheating, with nearly all inflaton energy converted into radiation, reaching a peak radiation energy density, corresponding to a reheating temperature of <span>(T_r=2.38times 10^{13})</span> GeV. The evolution culminates in a dynamically smooth transition, a <i>graceful exit</i>, from inflation to a hot radiation-dominated Universe. Although we employ the quadratic potential to illustrate the significance of the approach, the methodology is generally applicable and can be adapted to observationally favored inflationary models.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073919","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":"Expectation Value Dynamics Within Real Hilbert Space Quantum Mechanics","authors":"Sergio Giardino","doi":"10.1007/s10773-025-06111-5","DOIUrl":"10.1007/s10773-025-06111-5","url":null,"abstract":"<div><p>Dynamic equations concerning physical expectation values have been examined in terms of the real Hilbert space approach to quantum mechanics. The considered cases involve complex wave functions, as well as quaternionic wave functions. The consistency of the formalism has been verified in terms of the continuity equation, the classical limit, and generalizations of the quantum Lorentz force, and the Virial theorem. Besides testing the consistency of the real Hilbert space approach, generalized position and angular momentum operators have been introduced, and inspire exciting directions for further research.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073647","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":"Behaviour of Universe with Finsler-Modified Randers Cosmological Model in Lyra Theory","authors":"Sachin Kumar, P. K. Dwivedi, C. K. Mishra","doi":"10.1007/s10773-025-06109-z","DOIUrl":"10.1007/s10773-025-06109-z","url":null,"abstract":"<div><p>In this manuscript, we have considered the Finsler-Modified Randers Cosmological Model (FMRCM) with cosmological constant <span>(Lambda)</span> for generalized Finsler-Randers space-time, to investigate the solutions of this model in Lyra theory with Bianchi type-<span>(IV_0)</span> model of universe of cosmology under different variations of energy conditions such as the null, weak, dominant and strong energy condition with cosmological constant. Further, we have analyzed the role of cosmological constant <span>(Lambda)</span> in various framework, exploring its impact on both the accelerating and decelerating phases of cosmic expansion. Additionally, we have showed that for <span>(Lambda = 3K)</span> where <span>(K>0)</span> is any real number, the null, weak, and dominant energy conditions with cosmological constant are satisfied while the strong energy condition with cosmological constant is violated. This violation is interpreted as the cause of the accelerated expansion of the universe, but for <span>(Lambda = -3K)</span>, all energy conditions are satisfied, indicating no evidence of cosmic acceleration. These results are supported through both graphical and geometrical analysis.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073644","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":"Supersymmetric Quantum Mechanics Approach to Unified Treatment of the Non-Relativistic Harmonic Oscillator and the Klein-Gordon Oscillator Subject to a Uniform Magnetic Field in the Framework of Snyder-de Sitter Algebra","authors":"Abdelkader Saidani, Farid Benamira","doi":"10.1007/s10773-025-06117-z","DOIUrl":"10.1007/s10773-025-06117-z","url":null,"abstract":"<div><p>In this work, using the method of supersymmetric quantum mechanics (SUSY QM) and the concept of shape invariance, we determine the energy levels and wavefunctions for a two-dimensional Klein-Gordon oscillator (KGO) and a non-relativistic isotropic harmonic oscillator (NRHO) of a charged particle subject to a constant magnetic field within the framework of the Snyder-de Sitter (SdS) model. Both cases are solved simultaneously by introducing a Hamiltonian that depends on a real parameter, enabling an easy transition between the two cases. By transforming the corresponding equations into a position-dependent Schrödinger-like equation, the problem is solved exactly in position space. The wavefunctions are explicitly derived using recursion relations involving Jacobi polynomials.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073648","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}
F. Benabdallah, H. Allhibi, A.-B. A. Mohamed, M. Daoud
{"title":"Intrinsic Decoherence-Induced Generation of Quantum Information Resources in Coupled Semiconductor Charge Qubits","authors":"F. Benabdallah, H. Allhibi, A.-B. A. Mohamed, M. Daoud","doi":"10.1007/s10773-025-06134-y","DOIUrl":"10.1007/s10773-025-06134-y","url":null,"abstract":"<div><p>The preservation of non-classical correlation resources requires optimal procedures, strategies, and the proper design of the transmitting channels. In this scenario, we explore the dynamics of quantum correlations, namely local quantum Fisher information (LQFI) and concurrence, in a system of two strongly coupled semiconductor charge qubits confined in semiconductor pair quantum dots (SPQDs). The effects of tunneling, detuning, and dipole-dipole interactions are considered in both the absence and presence of intrinsic decoherence. Our results show that these interactions play a crucial role in transforming initially separable states into correlated states. Strengthening the tunneling coupling enhances the generation of semi-regular maximal two-qubit correlations. Increasing the detuning weakens both LQFI and concurrence, while strong dipole-dipole interactions mitigate decoherence-induced degradation and stabilize the quantum coherence. As decoherence increases, the amplitudes and frequencies of the correlations decrease, leading to sudden birth- death and sudden change phenomena. Notably, the robustness of LQFI against decoherence suggests its potential applications in quantum metrology. The two-qubit coherence induced by dipole interactions can be preserved against decoherence effects by increasing the tunneling coupling, providing an optimized framework for solid-state quantum information processing.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073649","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":"Information-Theoretic Analysis of a Mass-Dependent Minimal Length Quantum Harmonic Oscillator","authors":"Francisco Ancelmo Pinheiro Ferreira","doi":"10.1007/s10773-025-06129-9","DOIUrl":"10.1007/s10773-025-06129-9","url":null,"abstract":"<div><p>This work investigates the impact of a mass-dependent minimal length deformation on the information-theoretic properties of quantum systems, focusing on the ground state of a deformed harmonic oscillator. The deformation, tied to the particle’s Compton wavelength, modifies the canonical commutation relations and introduces a non-trivial momentum-space geometry. We derive exact analytical expressions for the ground-state Shannon entropy and Fisher information, demonstrating that the deformation reduces both quantities compared to the standard case. This reduction reflects a suppression of high-momentum contributions and a narrowing of the probability distribution, revealing the minimal length’s role as an informational regulator. A key feature of this framework is its relational character: the deformation strength depends explicitly on the particle’s mass, leading to distinct informational signatures. Our results provide new insights into how fundamental length scales reshape the uncertainty structure of quantum states.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073646","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":"Generalized Ellis-Bronnikov Wormhole Solution in the scalar-Einstein-Gauss-Bonnet 4d Gravitational Model","authors":"K. K. Ernazarov","doi":"10.1007/s10773-025-06139-7","DOIUrl":"10.1007/s10773-025-06139-7","url":null,"abstract":"<div><p>We consider the sEGB 4<i>d</i> gravitational model with a scalar field <span>(varphi left( uright))</span>, Einstein and Gauss-Bonnet terms. The model action contains a potential term <span>(Uleft( varphi right))</span>, a Gauss-Bonnet coupling function <span>(fleft( varphi right))</span> and a parameter <span>(varepsilon = pm 1)</span>, where <span>(varepsilon = 1)</span> corresponds to the usual scalar field, and <span>(varepsilon = -1)</span> to the phantom field. In this paper, the sEGB reconstruction procedure considered in our previous paper is applied to the metric of the Ellis-Bronnikov solution, which describes a massive wormhole in the model with a phantom field (and zero potential). For this metric, written in the Buchdal parameterization with a radial variable <i>u</i>, we find a solution of the master equation for <span>(fleft( varphi left( uright) right))</span> with the integration (reconstruction) parameter <span>(C_0)</span>. We also find expressions for <span>(Uleft( varphi left( uright) right))</span> and <span>(varepsilon dot{varphi }^2 = hleft( uright))</span> for <span>(varepsilon = pm 1)</span>. We prove that for all non-trivial values of the parameter <span>(C_0 ne 0)</span> the function <span>(hleft( uright))</span> is not of constant sign for all admissible <span>(u in left( -infty , +infty right))</span>. This means that for a fixed value of the parameter <span>(varepsilon = pm 1)</span> there is no non-trivial sEGB reconstruction in which the scalar field is a purely ordinary field (<span>(varepsilon = 1)</span>) or a purely phantom field (<span>(varepsilon = - 1)</span>).</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073645","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}
Gengyu Chen, Jiandong Wang, Yidong Liu, Yuanjie Yang
{"title":"Orbital Precession of Solitons in Nonlinear Thermal Medium with Regular Heptagonal Geometry","authors":"Gengyu Chen, Jiandong Wang, Yidong Liu, Yuanjie Yang","doi":"10.1007/s10773-025-06128-w","DOIUrl":"10.1007/s10773-025-06128-w","url":null,"abstract":"<div><p>We study the propagation dynamics of spatial soliton in nonlinear thermal medium with regular heptagonal geometry. When launched with an initial velocity, under the action of the force and torque applied by the medium boundaries, the soliton begins to orbit clockwise around the medium center periodically, meanwhile its orbit precesses anti-clockwise. The period of the soliton’s orbital motion is determined by the launching speed of the soliton, while the precession speed of the soliton’s orbit is closely related to both of the launching speed and launching direction of the soliton.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073960","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":"Exploring Entanglement and Purity in a Coupled Spin-1/2 System Under a Quantum Zeno-like Effect","authors":"Adamo Cerioli, Luca Guglielmi","doi":"10.1007/s10773-025-06116-0","DOIUrl":"10.1007/s10773-025-06116-0","url":null,"abstract":"<div><p>We studied the dynamics of a system composed of two coupled spin-1/2 particles in the presence of an orthogonal magnetic field, where one of the spins is subject to a non-projective decay operator that drives transitions from the up to the down state, resulting in behavior analogous to the quantum Zeno effect. In this study, we simulated the system using the Lindblad master equation and the Monte Carlo wavefunction method to analyze how the transition frequency influences the degree of entanglement and purity of the system, as well as how the magnetic field affects the system’s dynamics under increasingly frequent transitions. This work not only aims to test a methodology for modeling interactions with the environment, but also seeks to understand the impact that quantum Zeno-like effects generate in few components systems, such as qubits. The results obtained suggest potential applications in quantum control, quantum error corrections and the calibration of quantum systems by tuning appropriate external parameters.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-06116-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145062120","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":"Time-independent Perturbation Theory of Non-Hermitian Hamiltonian","authors":"Ye-Xin Li, Gui-Xiang La, Gong-Ping Zheng","doi":"10.1007/s10773-025-06121-3","DOIUrl":"10.1007/s10773-025-06121-3","url":null,"abstract":"<div><p>The time-independent perturbation theory of Hermitian Hamiltonian in quantum mechanics is extended to the non-Hermitian Hamiltonian. The derivation procedure is given analytically and in detail. Some terms lost in literatures are added and an exact and complete non-Hermitian time-independent perturbation theory is obtained. The corrections of eigenenergies and eigenstates of two illustrative two-level non-Hermitian Hamiltonians, which have the Hermitian and non-Hermitian unperturbed Hamiltonian, respectively, are solved by another method, namely, the exactly-diagonalizing of the perturbed Hamiltonian in the Hilbert space of the unperturbed Hamiltonian. The results agree well with those from the non-Hermitian time-independent perturbation theory.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145062121","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}