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Algebraic approach to the asymmetric rigid rotor
Author(s) -
MatamalaVásquez Adelio,
Planelles Josep
Publication year - 2000
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/(sici)1097-461x(2000)77:4<704::aid-qua2>3.0.co;2-p
Subject(s) - eigenvalues and eigenvectors , algebraic number , formalism (music) , realization (probability) , boson , angular momentum , physics , transformation (genetics) , linear algebra , algebra over a field , mathematics , mathematical physics , quantum mechanics , pure mathematics , mathematical analysis , chemistry , geometry , art , musical , biochemistry , gene , statistics , visual arts
Abstract A pure algebraic treatment of the eigenvalue equation corresponding to the asymmetric top is presented. The algebraic method employs the Holstein–Primakoff bosonic realization of the angular momentum algebra. Explicit determination of the linear boson transformation coefficients of the eigenstates is carried out by means of the coherent states formalism. No reference to special functions is needed and a completely algebraic approach is achieved. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 77: 704–709, 2000