Abstract:
We show that the causal Green's functions for interacting particles in
external fields in both relativistic quantum mechanics (for the Dirac
electron) and nonrelativistic quantum mechanics can be obtained as
distributions if the free-particle Green's functions are used and equations
for the corresponding test functions are chosen. We study quantum properties
of solutions of the Dirac equations.
Keywords:causal Green's function, Wiener measure, Euclidean Dirac measure, denumerable additivity of measures, absolute additivity of measures, induced measure.
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