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Springer eBooks

Dependence of the Feynman Path Integral on Discretization the Case of a Spinless Particle in an External Electromagnetic Field

W. Garczyński

Published Jan 1, 1980• 0 citations
Publisher
DOI
10.1007/978-1-4615-7035-6_13

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The subject of this paper is a path integral representations for the semigroup {exp(-t H_1)}{t≥0} generated by the quantum Hamiltonian H_1 of a relativistic spinless particle in an external electromagnetic field. The result is compared with the "Feynman-Kac" formula which holds for relativistic Schroedinger operators.

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