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Journal of Mathematical Physics

Path-integral evaluation of the space–time propagator for quadratic Hamiltonian systems

John T. Marshall, John L. Pell

Published Jul 1, 1979• 17 citations
Publisher

Abstract

Path-integral methods are used to derive an exact expression for the space–time propagator for systems with quadratic Hamiltonians. For a certain subclass of such systems, the result is reduced to a simplified closed form. The propagators for several illustrative elementary cases are exhibited in detail.
DOI
10.1063/1.524229

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