Article
Astronomy & Astrophysics
A. Jahangiri, S. Miraboutalebi, F. Ahmadi, A. A. Masoudi
Summary: The study investigates the influence of the predicted minimal length by quantum gravity theories on the Klein-Gordon field with φ(4) and φ(3) self-interactions. Fourth-order differential equations with solitary solutions are obtained using the Sech method, and the energy spectrum of the solitary fields is determined. The modification parameter of the theory is estimated based on the width and energy of the obtained solitary fields.
Article
Physics, Multidisciplinary
B. Hamil, B. C. Lutfuoglu
Summary: This manuscript investigates the relationship between parity and thermal quantities by substituting the Dunkl operator to the ordinary differential operator in quantum mechanics. The study establishes a relationship between different Dunkl oscillators by defining Dunkl creation and annihilation operators. Therefore, our model can be regarded as an appropriate scenario for the theory of an open quantum system coupled to a thermal bath.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Physics, Multidisciplinary
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula, Szymon Augustynowicz
Summary: Contrary to many authors' statements, backflow is not a nonclassical effect, but rather a characteristic feature of solutions to wave equations (both quantum and classical).
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mathematics
Bao D. Tran, Zdzislaw E. Musielak
Summary: The new formulation of relativistic quantum mechanics presented in this study treats time, space, and spacetime intervals equally, leading to a theory that is fully symmetric and consistent with special relativity. The theory accurately reproduces the classical action of a relativistic particle and introduces a new quantity called vector-mass, which has physical implications for nonlocality, the uncertainty principle, and quantum vacuum.
Article
Multidisciplinary Sciences
Guohua Tao
Summary: This study proposes a molecular formalism based on a decomposed energy space and a modular basis of matter and radiation for relativistic quantum mechanics. The proposed formalism incorporates matter radiation interactions through the dynamic transformation of coupled particle/antiparticle pairs in a multistate quantum mechanical framework. The result is a generalized relativistic quantum mechanics that interprets the relativistic energy-momentum relation as energy transformations among different modules.
Article
Physics, Particles & Fields
Marco Matone
Summary: In this study, Friedmann's equations are formulated as second-order linear differential equations using the Schwarzian derivative technique. This representation is equivalent to eigenvalue problems and suggests the existence of a measurement problem in the equations. The study also explores the relationship between Klein-Gordon operators and the Klein-Gordon Hamilton-Jacobi equations, revealing a new symmetry of Friedmann's equations in flat space when presented in linear form.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Mathematics
Jiong Weng, Xiaojing Liu, Youhe Zhou, Jizeng Wang
Summary: The proposed method converts nonlinear wave equations into a system of ODEs and achieves a complete decoupling between spatial and temporal discretization. Numerical solutions to benchmark problems show that the wavelet algorithm has higher accuracy and faster convergence compared to existing methods. The accuracy of the method remains consistent across different equations and nonlinearities, indicating independence from equation order and nonlinearity.
Article
Mathematics, Interdisciplinary Applications
A. F. Aljohani, Q. Hussain, F. D. Zaman, A. H. Kara
Summary: In this study, the fourth-order KdV-Klein/Gordon PDE was investigated using both symmetry approach and invariance approach for reduction and exploration of fractional time evolution second-order Gordon type and fourth-order KdV-Klein/Gordon equations. Conservation laws were constructed using Lie symmetries, with conserved densities utilized for the calculation of conserved quantities.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Applied
Reika Fukuizumi, Masato Hoshino, Takahisa Inui
Summary: This paper studies the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein-Gordon equation driven by a space-time white noise. In order to obtain the limits, it is crucial to clarify the parameter dependence in the estimates of solution. Two methods are presented in this paper to confirm this parameter dependence, including the classical energy method and the method via Strichartz estimates.
Article
Materials Science, Multidisciplinary
Md Abdul Kayum, Shamim Ara, M. S. Osman, M. Ali Akbar, Khaled A. Gepreel
Summary: Stable soliton solutions for the nonlinear Klein-Gordon equation have been established using the sine-Gordon expansion procedure, resulting in various new types of solitary wave solutions. The procedure is proven to be an efficient and straightforward mathematical tool for exact solitary wave solutions, with potential applications in optics, quantum mechanics, mathematical physics, and engineering.
RESULTS IN PHYSICS
(2021)
Article
Mathematics
C. Buriol, L. G. Delatorre, V. H. Gonzalez Martinez, D. C. Soares, E. H. G. Tavares
Summary: The study deals with a nonlinear Klein-Gordon system in an inhomogeneous medium, with local damping distributed around the boundary according to the Geometric Control Condition. It is shown that the energy of the system exponentially goes to zero for initial data within bounded sets of finite energy phase-space.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Astronomy & Astrophysics
Lam Hui, Y. . T. Albert Law, Luca Santoni, Guanhao Sun, Giovanni Maria Tomaselli, Enrico Trincherini
Summary: Studies on black hole superradiance often focus on the growth of a cloud in isolation and the spin-down of the black hole. However, this paper considers the additional effect of matter and angular momentum accretion from the surrounding environment. The authors demonstrate that the black hole can evolve by drifting along the superradiance threshold, allowing for analytical or semi-analytical description of its parameter evolution. They also propose the concept of oversuperradiance, where accretion effectively feeds the superradiance cloud through the black hole. Two examples of accretion processes are provided: from a vortex in wave dark matter and from a baryonic disk. The paper also discusses level transition in a similar manner.
Article
Mathematics, Applied
Carlos Castro Perelman
Summary: The Geometrization of Quantum Mechanics proposed in this work is based on the idea that quantum probability density can influence classical spacetime, specifically by curving it. It is shown that the gravitational field generated by smearing a point-mass throughout all of space can be interpreted as the gravitational field produced by a self-gravitating anisotropic fluid droplet sourced by the probability cloud permeating a 3-spatial domain region. In Quantum Mechanics, the radial mass configuration must obey a key third order nonlinear differential equation, unlike in classical mechanics where mass configurations can be arbitrary.
JOURNAL OF GEOMETRY AND PHYSICS
(2021)
Article
Multidisciplinary Sciences
A. L. Kholmetskii, T. Yarman, O. Missevitch
Summary: This paper addresses the issue of negative probability density solutions in the Klein-Gordon equation for a spinless charged particle in the presence of an electromagnetic field. The authors propose a solution by abandoning the customary definition of the momentum operator and adopting the more general definition through the sum of mechanical and electromagnetic momenta. The application of this new energy-momentum operator to the equation eliminates solutions with negative probability density.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Physics, Multidisciplinary
Heru Sukamto, Lila Yuwana, Agus Purwanto
Summary: This paper discusses the influence of minimal length on relativistic physical systems, particularly the efficiency of a relativistic quantum heat engine. The chosen working substance is a Dirac particle trapped in a one-dimensional infinite potential well. The efficiency of the quantum heat engine is calculated analytically and numerically in three thermodynamic cycles: Carnot, Otto, and Brayton cycles. The research reveals that the minimal length acts as a correction factor for relativistic energy and can either increase or decrease the efficiency of the relativistic quantum heat engine depending on the particle mass, expansion parameter, and thermodynamic cycle.
Article
Physics, Mathematical
B. Khosropour, S. K. Moayedi
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
(2019)
Article
Physics, Multidisciplinary
F. Chegini, F. Kheirandish, M. R. Setare
ACTA PHYSICA POLONICA A
(2019)
Article
Optics
M. R. Setare, P. Majari, C. Noh, Sh. Dehdashti
JOURNAL OF MODERN OPTICS
(2019)
Review
Physics, Multidisciplinary
Hamed Adami, Mohammad Reza Setare, Tahsin Cagri Sisman, Bayram Tekin
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2019)
Article
Optics
F. Chegini, F. Kheirandish, M. R. Setare
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
(2020)
Article
Physics, Mathematical
M. R. Setare, M. Sahraee
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
(2020)
Article
Physics, Particles & Fields
Mohammad Reza Setare, Hamed Adami
Article
Physics, Nuclear
M. Dehghani, M. R. Setare
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2020)
Article
Astronomy & Astrophysics
Vahid Kamali, Michal Artymowski, Mohammad Reza Setare
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2020)
Article
Astronomy & Astrophysics
Suat Dengiz, Ercan Kilicarslan, M. Reza Setare
CLASSICAL AND QUANTUM GRAVITY
(2020)
Article
Physics, Nuclear
M. R. Setare, A. Jalali
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2020)
Article
Physics, Mathematical
M. Dehghani, M. R. Setare
Summary: The explicit form of the field equations for Einstein-dilaton gravity with scalar-coupled exponential nonlinear electrodynamics has been obtained. Exact black hole solutions were found in an energy-dependent spherically symmetric geometry, with the scalar field equation solutions obtained by combining two Liouville potentials. Three types of exponentially charged dilatonic black holes were introduced and their thermodynamic properties studied in relation to rainbow functions. The impacts of rainbow functions on the conserved and thermodynamic quantities of the new black hole solutions were explored, showing the validity of the first law of black hole thermodynamics and examining quantum gravitational effects on thermodynamic phase transitions.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
(2021)
Article
Physics, Multidisciplinary
M. R. Setare, Kh Ghasemian, D. Jahani
Summary: This study investigated the dwell time corresponding to Klein tunneling of Dirac fermions confined in single-layer graphene under uniaxial strain, and considered the effects of several parameters on traversal time. The results showed the importance of the merging parameter and incident angle in the existence of the Hartman effect.
Article
Physics, Fluids & Plasmas
H. Karimi, M. R. Setare, A. Moradian
Article
Physics, Particles & Fields
M. R. Setare, H. Adami
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS
(2019)
