Results 61 to 70 of about 76,709 (184)
Nonlinear equations in private derivatives, related to the operator of Dirak
Наука. Инновации. Технологии, 2022 Theory of integrable nonlinear equations possessing soliton solutions of a new type - tipper solitons. The operator examines the design proposed by O.I. Bogoyavlensky, and having attractors in the phase space.
Olga Sergeevna Yanovskaya +1 more
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Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
, 2007 We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively.
Neumann, Lukas, Sparber, Christof
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Interaction of exact gravitational waves with matter
Physics Letters BWe consider interactions of exact (i.e., solutions of full nonlinear field equations) gravitational waves with matter by using the Einstein-Boltzmann equation.
Morteza Mohseni, Saurya Das
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Nonlinear Relativistic and Quantum Equations with a Common Type of Solution
, 2011 Generalizations of the three main equations of quantum physics, namely, the Schr\"odinger, Klein-Gordon, and Dirac equations, are proposed. Nonlinear terms, characterized by exponents depending on an index $q$, are considered in such a way that the ...
A. D. Polyanin +10 more
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Journal of High Energy Physics, 2021 A class of high-order canonical symplectic structure-preserving geometric algorithms are developed for high-quality simulations of the quantized Dirac-Maxwell theory based strong-field quantum electrodynamics (SFQED) and relativistic quantum plasmas (RQP)
Qiang Chen, Jianyuan Xiao, Peifeng Fan
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Semiclassical Asymptotics for the Maxwell - Dirac System
, 2003 We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order $O(\sqrt{\epsilon})$ is performed, where the small semiclassical ...
Bechouche +20 more
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The electromagnetic field’s quantum nature and spin
AIP AdvancesThe interaction of the electron (charge) with the electromagnetic field is investigated using the minimum coupling prescription, in which the electron’s spin appears in the Dirac and Pauli–Schrödinger equations.
A. I. Arbab
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Modeling a Quantum Hall System via Elliptic Equations
Advances in Mathematical Physics, 2009 Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeling and nanosystem-specific signal processing. Recently,
Artur Sowa
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Variational methods in relativistic quantum mechanics
, 2007 This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as critical points of an energy functional. Contrary to the Laplacian
Esteban, Maria J. +2 more
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International Journal of Applied Mechanics and Engineering, 2015 The main purpose of this work is to verify the influence of the weighting procedure in the Least Squares Method on the probabilistic moments resulting from the stability analysis of steel skeletal structures.
M. Kamiński, J. Szafran
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