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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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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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2019
Some familiarity with electromagnetism and quantum mechanics is useful for Section 9.2. A background in partial differential equations, see Section 6.3, and boundary value problems is useful but not necessary for the later sections. For the operator theory that we use, the reader is referred to Section 6.4. Ideally, we would have liked to place Section
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Some familiarity with electromagnetism and quantum mechanics is useful for Section 9.2. A background in partial differential equations, see Section 6.3, and boundary value problems is useful but not necessary for the later sections. For the operator theory that we use, the reader is referred to Section 6.4. Ideally, we would have liked to place Section
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