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Improving an algebraic approach to calculate approximate Franck–Condon factors of diatomic molecules
Author(s) -
RivasSilva J. F.,
Campoy G.,
Palma A.
Publication year - 1992
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.560430603
Subject(s) - diatomic molecule , harmonic oscillator , hamiltonian (control theory) , anharmonicity , annihilation , algebraic number , creation and annihilation operators , morse code , morse potential , series (stratigraphy) , quantum mechanics , physics , mathematical physics , mathematics , molecule , mathematical analysis , engineering , electrical engineering , mathematical optimization , paleontology , quantum , biology
Using the BCH theorem, we express the Hamiltonian of a Morse oscillator as a complete series of powers of the creation and annihilation operators for the harmonic oscillator. In this way, we improve the results of a previous work that uses a Bogoliubov–Tyablikov tranformation to calculate the Franck–Condon factors by means of equivalent harmonic oscillators potentials. © 1992 John Wiley & Sons, Inc.