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6 Galilei Invariant Wave Equations
According to the results of the previous sections, a free elementary quantum object that is invariant under the Galilei group is described by an... -
On the group-theoretical approach to relativistic wave equations for arbitrary spin
AbstractFormulating a relativistic equation for particles with arbitrary spin remains an open challenge in theoretical physics. In this study,...
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Influence of upper hybrid wave on electron acceleration by Laguerre–Gaussian pulse in relativistic-ponderomotive plasma
In the present work, the dynamics of laser pulse with Laguerre–Gaussian (LG) laser profile in both space and time domains have been analyzed inside a...
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Equations of Quantum Relativistic Hydrodynamics and Soliton Solutions in Describing Nucleus–Nucleus Collisions
AbstractThe equations of quantum relativistic hydrodynamics are derived from the Klein–Gordon equation. In the nonrelativistic semiclassical...
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Solution of Relativistic Feshbach–Villars Spin-1/2 Equations
We propose a computational method for relativistic spin-1/2 particles by solving the corresponding Feshbach–Villars equation. We have found that the...
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Derivation of the Quantum Wave Equations Based on Wave Excitation in the Vacuum
In the quantum wave modelQuantum wave model, a quantum particleQuantum particle is identified as a quantized excitation wave of the vacuumExcitation... -
Relativistic minisuperspaces in Finslerian background
In one of the approaches to quantization of gravity, the Wheeler–DeWitt equation for the wave function of the universe appeared long ago. Presently,...
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Neo-classical Relativistic Mechanics Theory for Electrons that Exhibits Spin, Zitterbewegung, Dipole Moments, Wavefunctions and Dirac’s Wave Equation
In this work, a neo-classical relativistic mechanics theory is presented where the spin of an electron is an inherent part of its world space-time...
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Relativistic Density-Functional Theories
This chapter introduces the relativistic density-functional theory in nuclear physics. After a brief introduction on the history, advantages, and... -
Beam-Driven Growth of Lower Hybrid Wave in a Magnetized Relativistic Beam-Plasma System
In this work, a problem based on fluid theory of parametric decay of a lower hybrid wave in a magnetized relativistic beam-plasma system has been...
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Breakdown of smooth solutions to the Müller–Israel–Stewart equations of relativistic viscous fluids
We consider equations of Müller–Israel–Stewart type describing a relativistic viscous fluid with bulk viscosity in four-dimensional Minkowski space....
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On the local well-posedness for the relativistic Euler equations for a liquid body
We prove a local existence theorem for the free boundary problem for a relativistic fluid in a fixed spacetime. Our proof involves an a priori...
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Effect of incoherence in a heavy nucleus nonlinear wave in a degenerate relativistic magneto-rotating quantum plasma
AbstractEffect of incoherence is investigated in detail on the nonlinear excitations in a heavy nucleus degenerate relativistic magneto-rotating...
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Aspects of non-relativistic quantum field theories
Non-relativistic quantum field theory is a framework that describes systems where the velocities are much smaller than the speed of light. A large...
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Highly Selective Oversized Slotted Cavities for Relativistic Millimeter Wave Gyrotrons
AbstractBased on an analytical approach and numerical simulation, it is shown that, in an oversized cylindrical cavity with M longitudinal slits,...
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Calculation of Relativistic Single-Particle States
A computational method is proposed to calculate bound and resonant states by solving the Klein–Gordon and Dirac equations for real and complex...
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Solving the relativistic Toda lattice equation via the generalized exponential rational function method
In this article, we focus on a specific version of the NDDEs which is the relativistic Toda lattice equation. We employ the generalized exponential...
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Probability Conservation for Multi-time Integral Equations
In relativistic quantum theory, one sometimes considers integral equations for a wave function... -
Generalized Wigner Operators and Relativistic Gauge Fields
AbstractWe introduce and study the generalized Wigner operator. By definition, such an operator transforms the Wigner wave function into a local...
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Combined effect of relativistic and ponderomotive nonlinearities on self-focusing of asymmetric finite Airy–Gaussian laser beams in plasma
This paper presents an investigation of combined effect of relativistic and ponderomotive nonlinearities on self-focusing of finite Airy–Gaussian...