Open AccessQuantized energy spectrum and exact wave function of three-dimensional anisotropic coupled harmonic oscillator
Author(s) -
Ling Rui-liang,
Jin Feng,
Jie Feng
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.59.8348
Subject(s) - harmonic oscillator , hamiltonian (control theory) , physics , quadratic equation , wave function , energy spectrum , spectrum (functional analysis) , symplectic geometry , quantum mechanics , anisotropy , commutation , quantum harmonic oscillator , mathematical physics , classical mechanics , mathematical analysis , mathematics , geometry , mathematical optimization , voltage
By the quadratic form theory, we succeed in diagonalizing the Hamiltonian for three-dimensional anisotropic coupled harmonic oscillators, through three symplectic transformations keeping the commutation relations unchanged. The quantized energy spectrum and the exact wave function of the system are given.