Results 291 to 300 of about 3,197,005 (354)
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Quantum Physics of Light and Matter - Relativistic Wave Equations, 2020
L. Salasnich
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L. Salasnich
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Solitary waves in the Nonlinear Dirac Equation
, 2017In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting spinors, and discuss its localized waveforms in one, two, and three ...
J. Cuevas-Maraver +5 more
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Physical Review D, 1990
The quaternionic generalization of the Dirac equation is investigated. From elementary considerations of unitarity and Lorentz invariance it is demonstrated that potentials with quaternionic parts are not consistent with representation independence. This result leads to the conclusion that either quaternionic quantum mechanics singles out a special ...
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The quaternionic generalization of the Dirac equation is investigated. From elementary considerations of unitarity and Lorentz invariance it is demonstrated that potentials with quaternionic parts are not consistent with representation independence. This result leads to the conclusion that either quaternionic quantum mechanics singles out a special ...
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2023
Abstract This chapter presents a brief introduction to the Dirac equation. This equation lays the foundation for quantum electrodynamics, which describes interaction of electrons and electromagnetic fields at quantum field theory level.
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Abstract This chapter presents a brief introduction to the Dirac equation. This equation lays the foundation for quantum electrodynamics, which describes interaction of electrons and electromagnetic fields at quantum field theory level.
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Dirac equation without Dirac matrices
Il Nuovo Cimento, 1965The Dirac theory of the relativistic electron is reformulated—without any reference to spinor formalisms—exploiting the properties of one of the « concrete » representations of the homogeneous Lorentz group, which are generated by differential operators acting in the space of the functions of six Eulerian angles.
A. Loinger, A. Sparzani
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Reviews in Mathematical Physics, 2000
The Lorentz–Dirac equation (LDE) [Formula: see text] models the point limit of the Maxwell–Lorentz equation describing the interaction of a charged extended particle with the electromagnetic field. Since (LDE) admits solutions which accelerate even if they are outside the zone of interaction, Dirac proposed to study so-called "non runaway" solutions ...
Ruf, Bernhard, Srikanth, P. N.
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The Lorentz–Dirac equation (LDE) [Formula: see text] models the point limit of the Maxwell–Lorentz equation describing the interaction of a charged extended particle with the electromagnetic field. Since (LDE) admits solutions which accelerate even if they are outside the zone of interaction, Dirac proposed to study so-called "non runaway" solutions ...
Ruf, Bernhard, Srikanth, P. N.
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, 2014
We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method.
S. Ikhdair, B. Falaye
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We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method.
S. Ikhdair, B. Falaye
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Singular discrete dirac equations
Mathematica SlovacaAbstract This paper investigates singular discrete Dirac equations and establishes famous Weyls classification for these equations. First, the limit-circle and limit-point classifications are obtained. Then, the existence of boundary conditions is demonstrated.
Allahverdiev, Bilender P. +1 more
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Split-Quaternions and the Dirac Equation
, 2014We show that Dirac 4-spinors admit an entirely equivalent formulation in terms of 2-spinors defined over the split-quaternions. In this formalism, a Lorentz transformation is represented as a 2 × 2 unitary matrix over the split-quaternions.
F. Antonuccio
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Ground state of the hydrogen atom via Dirac equation in a minimal-length scenario
, 2013In this work we calculate the correction to the ground state energy of the hydrogen atom due to contributions arising from the presence of a minimal length.
T. L. A. Oakes +3 more
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