Phys. Rev. A 59, 1777–1780 (1999)Unitary equivalence and phase properties of the quantum parametric and generalized harmonic oscillatorsReceived 15 May 1997; revised 8 October 1997; published in the issue dated March 1999 A quantum parametric harmonic oscillator with a unitary evolution but not invariant under time reversal, is shown to be unitarily equivalent to a quantum generalized harmonic oscillator. As a consequence the phase properties of the two systems, in particular their geometric phases, are identical. Equivalent results for the corresponding classical systems are deduced from the study of the time evolution of the appropriate squeezed coherent states. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.59.1777
DOI:
10.1103/PhysRevA.59.1777
PACS:
03.65.Bz, 03.65.Sq
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