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Nonlinear response of a deformed oscillator
Author(s) -
Récamier J.,
Mochán W. L.,
Maytorena J.
Publication year - 2005
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.20663
Subject(s) - anharmonicity , hamiltonian (control theory) , creation and annihilation operators , harmonic oscillator , diatomic molecule , physics , coherent states , operator (biology) , boson , dipole , quantum mechanics , nonlinear system , phase space , quantum , mathematics , chemistry , molecule , mathematical optimization , biochemistry , repressor , transcription factor , gene
We analyze the response of a single anharmonic diatomic molecule to a monochromatic time dependent electric field ω ( t ) and evaluate the temporal evolution of the dipole moment, phase space trajectories, and several transition probabilities as a function of the intensity of the field. We define deformed boson operators A † = f ( $\hat{n}$ ) a †, A = af ( $\hat{n}$ ) in terms of the usual harmonic oscillator creation and annihilation operators a, a †, $\hat{n}$ = a † a and choose the number operator function f ( $\hat{n}$ ) such that the energy spectrum of a harmonic oscillator‐type Hamiltonian written in terms of the deformed operators yields an energy spectrum similar to that of a Morse potential. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005