Algebraic Treatment of a Three-Oscillator System: Applications to Some Molecular Models

Autor:	F. Michelot, V. Boujut
Rok vydání:	1997
Předmět:	Physics Annihilation Molecular model Degenerate energy levels Diatomic molecule Atomic and Molecular Physics and Optics Theoretical physics Quantum mechanics Standard basis Tetrahedron Physics::Chemical Physics Physical and Theoretical Chemistry Algebraic number Spectroscopy Boson
Zdroj:	Journal of Molecular Spectroscopy. 184:257-272
ISSN:	0022-2852
DOI:	10.1006/jmsp.1997.7317
Popis:	A new algebraic treatment of a three-oscillator system, called 3d formalism, is proposed. First, arbitrary tensor operators, expressed in terms of elementary creation and annihilation boson operators, are built within the standard algebraic chain u (3) ⊃ so (3) ⊃ so (2). Their matrix elements are next derived in a standard basis. Some applications, which require few adaptions or extensions, are proposed. They allow one to recover, for instance, Hecht's and tetrahedral Hamiltonians associated with threefold degenerate modes of spherical molecules and the vibron model Hamiltonian introduced for diatomic molecules.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1e7491be1332d62c2762ab2d7aac2bfa https://doi.org/10.1006/jmsp.1997.7317 Zobrazit plný text záznamu Full Text from ScienceDirect