Published June 2003
| Version v1
Journal article
Amplitude and phase representation of quantum invariants for the time-dependent harmonic oscillator
Creators
- 1. Instituto Nacional de Astrofisica Optica y Electronica, Coordinacion de Optica, Apartado Postal 51 y 216, 72000 Puebla, Puebla, (Mexico)
Description
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
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.67.063803;
- arXiv
- arXiv:quant-ph/0212073v1;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 67
- Journal Issue
- 6
- Journal Page Range
- p. 063803-063803.5
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36081762
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- AMPLITUDES; COORDINATES; HARMONIC OSCILLATORS; OPTICS; QUANTUM MECHANICS; TIME DEPENDENCE
- Descriptors DEC
- MECHANICS
Optional Information
- Notes
- (c) 2003 The American Physical Society