The definition of the phase variable for a classical time-dependent oscillator as the natural variable canonically conjugated to the Ermakov invariant is revised. Some implications of the result at the quantum level are discussed and an exact formal expression in terms of Weyl-ordered operators is given for the associated phase operator.

Weyl-ordered series form for the angle variable of the time-dependent oscillator

LANDOLFI, Giulio
2008-01-01

Abstract

The definition of the phase variable for a classical time-dependent oscillator as the natural variable canonically conjugated to the Ermakov invariant is revised. Some implications of the result at the quantum level are discussed and an exact formal expression in terms of Weyl-ordered operators is given for the associated phase operator.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/106617
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