Open AccessExact wave function of dual-coupled two-dimensional harmonic oscillators with time-dependent and anisotropic mass and frequency
Author(s) -
Ling Rui-liang,
Jie Feng,
Yun Hang Hu
Publication year - 2010
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.59.759
Subject(s) - physics , hamiltonian (control theory) , harmonic oscillator , anisotropy , wave function , transformation (genetics) , function (biology) , rotating wave approximation , harmonic , classical mechanics , mathematical analysis , quantum mechanics , quantum electrodynamics , mathematics , mathematical optimization , biochemistry , chemistry , evolutionary biology , biology , gene , quantum
Using a special rotational transformation of coordinates and momentumwe solve successfully the diagonalization of Hamiltonian. Furthermorewe obtain the exact wave function of dual-coupled two-dimensional harmonic oscillators with time-dependent and anisotropic mass and frequency by means of trial function methed. The wave function is also verified.