Open AccessTIME EVOLUTION OF A QUANTUM SYSTEM WITH HAMILTONIAN CONSISTING OF TIME-DEPENDENT LINEAR COMBINATION OF SU(l, 1)AND SU(2) GENERATORS AND THE HERMITIAN INVARIANT OPERATOR
Author(s) -
Yunjin Lai,
Liang Jiu-Qing
Publication year - 1996
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.45.738
Subject(s) - hamiltonian (control theory) , hermitian matrix , physics , mathematical physics , operator (biology) , quantum , time evolution , invariant (physics) , quantum mechanics , mathematics , mathematical optimization , biochemistry , chemistry , repressor , transcription factor , gene
We study the time evolution of a quantum system with Hamiltonian consisting of time-dependent linear combination of SU(1,1) and SU(2) generators. A proper hermitian invariant operator has been found to obtain not only closed formulas for the time evolution of quantum states but also the time evolution operators for both the SU(1, 1) and SU(2) systems. The time evolution operators have been used to investigate the time-dependent two photons and SU(2) squeezing states and squeezing properties of the time-dependent SU(1,1) coherent states.