Open AccessTHE EXACT SOLUTION AND BERRY'S PHASE FOR THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR
Author(s) -
Xiao-Chun Gao,
Jun Xu,
Tiezheng Qian
Publication year - 1991
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.40.25
Subject(s) - harmonic oscillator , exact solutions in general relativity , anharmonicity , adiabatic process , geometric phase , limit (mathematics) , physics , phase (matter) , quantum mechanics , harmonic , exact differential equation , adiabatic theorem , mathematical analysis , mathematics , nonlinear system , linear differential equation
In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then, the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase factor for the oscillator obtained. We proceed to use the exact solution to construct the coherent state and calculate the corresponding classical Hannay angle.