Amplitude and phase representation of quantum invariants for the time-dependent harmonic oscillator
Journal Article
·
· Physical Review. A
- Instituto Nacional de Astrofisica Optica y Electronica, Coordinacion de Optica, Apartado Postal 51 y 216, 72000 Puebla, Puebla, (Mexico)
The correspondence between classical and quantum invariants is established. The Ermakov-Lewis quantum invariant of the time-dependent harmonic oscillator is translated from the coordinate and momentum operators into amplitude and phase operators. In doing so, Turski's phase operator as well as Susskind-Glogower operators are generalized to the time-dependent harmonic-oscillator case. A quantum derivation of the Manley-Rowe relations is shown as an example.
- OSTI ID:
- 20639811
- Journal Information:
- Physical Review. A, Vol. 67, Issue 6; Other Information: DOI: 10.1103/PhysRevA.67.063803; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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