Open AccessCOHERENT STATES OF HYDROGEN ATOM
Author(s) -
Xu Bo-Wei,
Qi Zhang
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.40.1212
Subject(s) - physics , harmonic oscillator , coherent states , hydrogen atom , kepler problem , isotropy , quantum mechanics , classical mechanics , transformation (genetics) , position (finance) , momentum (technical analysis) , quantum , group (periodic table) , biochemistry , chemistry , finance , economics , gene
From Kustannheimo-Stiefel transformation, the hygrogen problem in quantum mechanics can be transformed to that of a four dimensional isotropic harmonic oscillator with constrain. The coherent states are defined, for which the expectation values of the position and the momentum are shown to give the classical Kepler orbits. The uncertainty relations for the coherent states are discussed as well.