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The Geometry of the Dirac Equation
Annalen der Physik, 1985AbstractWe discuss the problem of the derivation and the interpretation of metric tensors and generalized equations of motion for test particles from quasilinear spinor equations.
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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 ...
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 ...
Ruf, Bernhard, Srikanth, P. N.
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Russian Physics Journal, 2018
A complete solution of the problem of squaring the Dirac equation with arbitrary external electromagnetic field is expounded.
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A complete solution of the problem of squaring the Dirac equation with arbitrary external electromagnetic field is expounded.
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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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TRU Mathematics, 1985
The author formulates a theory of gravity coupled to a Dirac field in which the fundamental fields are a spin structure and a Dirac field. The theory derives from a Lagrangian varied independently with respect to the Dirac field and the spin structure.
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The author formulates a theory of gravity coupled to a Dirac field in which the fundamental fields are a spin structure and a Dirac field. The theory derives from a Lagrangian varied independently with respect to the Dirac field and the spin structure.
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On the validity of the Lorentz–Dirac equation
Journal of Physics A: Mathematical and General, 2002Summary: Ten conserved quantities corresponding to the symmetry of the composite system of point-like charged particle and electromagnetic field under the Poincaré group are expressed in terms of particle variables. It is shown that the Lorentz-Dirac equation contradicts the differential consequence of the 'centre-of-mass' conserved quantity which ...
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2007
The purpose of this chapter is to introduce the Dirac equation, which will provide us with a basis for developing the relativistic quantum mechanics of electronic systems. Thus far we have reviewed some basic features of the classical relativistic theory, which is the foundation of relativistic quantum theory.
Kenneth G. Dyall, Knut Faegri
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The purpose of this chapter is to introduce the Dirac equation, which will provide us with a basis for developing the relativistic quantum mechanics of electronic systems. Thus far we have reviewed some basic features of the classical relativistic theory, which is the foundation of relativistic quantum theory.
Kenneth G. Dyall, Knut Faegri
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The Dirac Equation and the Dirac Field
1990In Chap. 3 we discussed the theory of neutral mesons. Two elementary particles that frequently occur in Nature, the electron and the proton, are however particles which possess intrinsic angular momentum: spin = 1/2. Since a scalar field offers no opportunity for describing spin we must seek another description for these ...
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1973
The last chapter was devoted to showing that direct quantization of classical equations does not lead to a wave equation for the electron. We will now discuss the Dirac equation for the electron. Although much of this chapter will be concerned with its justification, it will be assumed from the outset that it is indeed appropriate to the electron to ...
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The last chapter was devoted to showing that direct quantization of classical equations does not lead to a wave equation for the electron. We will now discuss the Dirac equation for the electron. Although much of this chapter will be concerned with its justification, it will be assumed from the outset that it is indeed appropriate to the electron to ...
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