Propagator of a time-dependent unbound quadratic Hamiltonian system
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The propagator for a time-dependent unbound quadratic Hamiltonian system is explicitly evaluated using the path integral method. Two time-invariant quantities of the system are found where these invariants determine whether or not the system is bound. Several examples are considered to illustrate that the propagator obtained for the unbound systems is correct.
PACS03.65.Ge Solutions of wave equations: bound states
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