Open AccessExact solution for a harmonic oscillator with a time-dependent inverse square po tential by path-integral
Author(s) -
P. Wang,
Yang Xin-E,
Xiaohui Song
Publication year - 2003
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.52.2957
Subject(s) - harmonic oscillator , path integral formulation , inverse , physics , harmonic , square (algebra) , anharmonicity , quantum harmonic oscillator , exact solutions in general relativity , transformation (genetics) , wave function , quantum mechanics , mathematical analysis , mathematics , geometry , biochemistry , chemistry , quantum , gene
Using coordinate-transformation we transformed a harmonic oscillator with time-d ependent mass and a time-dependent inverse potential into a harmonic oscillator with time-independent mass and a time-independent inverse potential accordingly. In terms of the relation between these two different harmonic oscillators' prop agators we derived the exact wavefunction of the former by Feynman path-integral . We also discussed the harmonic oscillator with more additional potentials.