Improving an algebraic approach to calculate approximate Franck–Condon factors of diatomic molecules | Zendy

RivasSilva J. F. | Zendy; Campoy G. | Zendy; Palma A. | Zendy

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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.

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