Path integral formulation of the propagator for a two-dimensional Dirac particle (Q1079744)
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scientific article; zbMATH DE number 3964555
| Language | Label | Description | Also known as |
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| English | Path integral formulation of the propagator for a two-dimensional Dirac particle |
scientific article; zbMATH DE number 3964555 |
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Path integral formulation of the propagator for a two-dimensional Dirac particle (English)
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1984
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The aim of the present note is to give path integral formulas for the solution of the Cauchy problem of the Dirac equation and the relativistic propagator in two space-time dimensions. They have a close analogy with the Feynman-Kac formula for the heat equation, but the countably additive path space measures constructed are other than the Wiener measure. The same method applies to a certain hyperbolic system of the first order.
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path integral formulas
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Cauchy problem
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Dirac equation
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relativistic propagator
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Feynman-Kac formula
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