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Journal of Physics A Mathematical and General

Time-evolution operator and propagator for quadratic Hamiltonians

Francisco Marcelo Fernández

Published Mar 21, 1988• 3 citations
Publisher

Abstract

The time-evolution operator and the propagator for a general one-dimensional quadratic Hamiltonian are obtained. The method is based on the equations of motion for the coordinate and momentum in the Heisenberg representation and the problem is reduced to solving the classical equations of motion.
DOI
10.1088/0305-4470/21/6/012

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