Algebraic view to the quantum anharmonic oscillator
- 1 March 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (5) , 1571-1575
- https://doi.org/10.1103/physreva.37.1571
Abstract
We use the harmonic-oscillator realization of the SU(1,1) group to study the time evolution of a quantum state undergoing an anharmonic interaction. The result is then applied to the propagation of an initially Gaussian beam through an optical fiber with a quartic aberration.Keywords
This publication has 11 references indexed in Scilit:
- Algebraic view of the optical propagation in a nonhomogeneous mediumPhysical Review A, 1987
- Algebraic time-ordering techniques and harmonic oscillator with time-dependent frequencyPhysical Review A, 1986
- Time-ordering techniques and solution of differential difference equation appearing in quantum opticsJournal of Mathematical Physics, 1986
- Method of Averaging and the Quantum Anharmonic OscillatorPhysical Review Letters, 1985
- Metaplectic group and Fourier opticsPhysical Review A, 1981
- Operator methods in physical opticsJournal of the Optical Society of America, 1981
- Statistical Analysis of Feynman DiagramsPhysical Review Letters, 1976
- Pulse dispersion in a lens-like mediumOptical and Quantum Electronics, 1973
- Energy eigenvalues and matrix elements for the quartic oscillatorJournal of Molecular Spectroscopy, 1970
- Lie Algebraic Solution of Linear Differential EquationsJournal of Mathematical Physics, 1963