Open AccessDYNAMICAL SYMMETRY GROUP FOR VIBRATIONAL SPECTRA OF TRIATOMIC MOLECULES
Author(s) -
Yujun Zheng,
Shangwu Ding
Publication year - 1999
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.48.438
Subject(s) - triatomic molecule , hamiltonian (control theory) , molecule , physics , spectral line , symmetry (geometry) , symmetry group , excited state , eigenvalues and eigenvectors , symmetry operation , molecular symmetry , quantum mechanics , algebraic number , group theory , rotational symmetry , mathematics , geometry , mathematical analysis , mathematical optimization , mechanics
Dynamical symmetry group for highly excited vibrational spectra of triatomic molecules has been studied-The results showed that the dynamicsl symmetry of tiratomic molecules are U1(4)U2(4)-Therefore,the Hamiltonian of triatomic molecules can be writen as the sum of elements of Lie algebra U1(4)U2(4)- And the eigenvalue of molecular Hamiltonian can be obtained by Lie algebraic treatment-