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Solution of atomic and molecular Schrödinger equation described by hyperspherical coordinates
Author(s) -
Deng Conghao,
Zhang Ruiqin,
Feng Dacheng
Publication year - 1993
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560450405
Subject(s) - eigenfunction , orthonormal basis , laguerre polynomials , eigenvalues and eigenvectors , mathematical physics , scalar (mathematics) , schrödinger equation , physics , operator (biology) , angular momentum , parabolic coordinates , generalized coordinates , mathematical analysis , quantum mechanics , mathematics , log polar coordinates , chemistry , geometry , biochemistry , repressor , transcription factor , gene
The Schrödinger equation for an atom or molecule is expressed in terms of hyperspherical coordinates. The eigenfunction is expanded in a series of orthonormal complete sets: Y λ,μ (Ω), eigenfunctions of generalized angular momentum scalar operator, and L v n , generalized Laguerre polynomials. The recurrence relation of the expansion coefficients are derived and the eigenvalues can be obtained from the secular equation. © 1993 John Wiley & Sons, Inc.