Classical and Quantum Action-Phase Variables for Time-Dependent Oscillators
نویسندگان
چکیده
For a time-dependent classical quadratic oscillator we introduce pairs of real and complex invariants that are linear in position and momentum. Each pair of invariants realize explicitly a canonical transformation from the phase space to the invariant space, in which the action-phase variables are defined. We find the action operator for the time-dependent quantum oscillator via the classical-quantum correspondence. Candidate phase operators conjugate to the action operator are discussed, but no satisfactory ones are found. PACS numbers: 03.65.Ta, 03.65.Fd, 02.30.Tb, 45.20.-d Typeset using REVTEX E-mail: [email protected] E-mail: [email protected] Fellow, Cosmology and Gravity Program of the Canadian Institute for Advanced Research 1
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تاریخ انتشار 2001