Vector parametrization of the N-atom problem in quantum mechanics.: I.: Jacobi vectors

被引:148
作者
Gatti, F
Lung, C
Menou, M
Justum, Y
Nauts, A
Chapuisat, X
机构
[1] Univ Montpellier 2, Lab Struct & Dynam Syst Mol & Solides, CNRS, UMR 5636, F-34095 Montpellier 5, France
[2] Univ Paris Sud, Ctr Sci Orsay, Chim Theor Lab, CNRS,URA 0506, F-91405 Orsay, France
[3] Catholic Univ Louvain, Dept Phys, Unite FYAM, B-1348 Louvain, Belgium
关键词
D O I
10.1063/1.476327
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Within the framework of an adequate spectral representation, the geometrical description of an N-atom molecular system by n = N - 1 Jacobi relative position vectors is shown to be particularly advantageous with regard to the criterion of prediagonalization of the matrix representing the kinetic energy operator. (C) 1998 American Institute of Physics, [S0021-9606(98)02121-7]
引用
收藏
页码:8804 / 8820
页数:17
相关论文
共 74 条
[1]  
ALLEGRET M, 1875, J MATH PURE APPL, V1, P277
[2]  
[Anonymous], 1978, Advances in Chemical Physics, DOI 10.1002/9780470142561.ch6
[3]   ADIABATIC PSEUDOSPECTRAL CALCULATION OF VIBRATIONAL-STATES OF 4 ATOM MOLECULES - APPLICATION TO HYDROGEN-PEROXIDE [J].
ANTIKAINEN, J ;
FRIESNER, R ;
LEFORESTIER, C .
JOURNAL OF CHEMICAL PHYSICS, 1995, 102 (03) :1270-1279
[4]  
AQUILANTI V, 1986, THEORY CHEM REACTION
[5]  
BACIC Z, 1990, J CHEM PHYS, V92, P2344, DOI 10.1063/1.457976
[6]   THE ROTATIONAL-VIBRATIONAL SPECTRUM OF SYMMETRICAL NONRIGID TRIATOMICS IN HYPERSPHERICAL COORDINATES - THE H-3+ MOLECULE [J].
BARTLETT, P ;
HOWARD, BJ .
MOLECULAR PHYSICS, 1990, 70 (06) :1001-1029
[7]  
BIEDENHARN LC, 1981, ANGULAR MOMENTUM QUA, P527
[8]   VIBRATION-ROTATION COORDINATES AND KINETIC-ENERGY OPERATORS FOR POLYATOMIC-MOLECULES [J].
BRAMLEY, MJ ;
GREEN, WH ;
HANDY, NC .
MOLECULAR PHYSICS, 1991, 73 (06) :1183-1208
[9]   QUANTUM DYNAMICS OF NON-RIGID SYSTEMS COMPRISING 2 POLYATOMIC FRAGMENTS [J].
BROCKS, G ;
VANDERAVOIRD, A ;
SUTCLIFFE, BT ;
TENNYSON, J .
MOLECULAR PHYSICS, 1983, 50 (05) :1025-1043
[10]  
Bunker P.R., 1979, Molecular Symmetry and Spectroscopy