Open AccessTHE BERRY PHASE OF THE QUANTUM STATE OF A HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS
Author(s) -
Liu Deng-yun
Publication year - 1998
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.47.1233
Subject(s) - geometric phase , harmonic oscillator , physics , invariant (physics) , quantum mechanics , berry connection and curvature , operator (biology) , basis (linear algebra) , exact solutions in general relativity , quantum , anharmonicity , square (algebra) , schrödinger equation , quantum harmonic oscillator , mathematical analysis , mathematics , geometry , biochemistry , chemistry , repressor , transcription factor , gene
The problem of a harmonic oscillator of time-dependent frequency confined in a one-dimensional infinite square well with a moving wall is studied.It is shown that the exact solution and the Lewis invariant operator of the system can be obtained by performing two consecutive gauge transformations on the time-dependent Schrdinger equation.On the basis of the exact solution the Berry phases for the system are calculated by using the geometric concepts such as the geometric distance and geometric length of the curve.