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Klein's paradox in a four-space formulation of Dirac's equation

Klein's paradox - the prediction by Dirac's equation of the anomalous reflection of electrons from a large potential barrier - has attracted the attention of physicists for several decades. Assessments of its significance vary widely: Some say that it is unimportant, because the problem is...

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Published in:	Foundations of physics 1991-06, Vol.21 (6), p.633-647
Main Author:	EVANS, A. B
Format:	Article
Language:	English
Subjects:	662220 - Quantum Electrodynamics- (1992-) Classical and quantum physics: mechanics and fields DIFFERENTIAL EQUATIONS DIRAC EQUATION ELECTRODYNAMICS EQUATIONS Exact sciences and technology FAILURES FIELD THEORIES FUNCTIONS INTERACTIONS PAIR PRODUCTION PARTIAL DIFFERENTIAL EQUATIONS PARTICLE PRODUCTION Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POTENTIALS QUANTIZATION QUANTUM ELECTRODYNAMICS QUANTUM FIELD THEORY SECOND QUANTIZATION WAVE EQUATIONS WAVE FUNCTIONS
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description	Klein's paradox - the prediction by Dirac's equation of the anomalous reflection of electrons from a large potential barrier - has attracted the attention of physicists for several decades. Assessments of its significance vary widely: Some say that it is unimportant, because the problem is resolved by second quantization, but for others it represents a real failure of quantum electrodynamics. Here, a 4-space formulation of Dirac's equation gives results formally identical to those of the usual Klein paradox. However, some extra physical detail can be inferred, and this suggests that the most extreme case involves pair production within the potential barrier.
doi_str_mv	10.1007/BF00733274
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subjects	662220 - Quantum Electrodynamics- (1992-) Classical and quantum physics: mechanics and fields DIFFERENTIAL EQUATIONS DIRAC EQUATION ELECTRODYNAMICS EQUATIONS Exact sciences and technology FAILURES FIELD THEORIES FUNCTIONS INTERACTIONS PAIR PRODUCTION PARTIAL DIFFERENTIAL EQUATIONS PARTICLE PRODUCTION Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POTENTIALS QUANTIZATION QUANTUM ELECTRODYNAMICS QUANTUM FIELD THEORY SECOND QUANTIZATION WAVE EQUATIONS WAVE FUNCTIONS
title	Klein's paradox in a four-space formulation of Dirac's equation
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