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Lie algebraic method applied to a pulsed anharmonic oscillator
Author(s) -
Récamier J.,
Gorayeb M.,
Mochán W. L.,
Paz J. L.
Publication year - 2006
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.21153
Subject(s) - anharmonicity , observable , algebraic number , annihilation , eigenvalues and eigenvectors , operator (biology) , physics , creation and annihilation operators , nonlinear system , momentum (technical analysis) , bound state , quantum mechanics , quantum , coherent states , field (mathematics) , mathematics , chemistry , mathematical analysis , pure mathematics , biochemistry , finance , repressor , transcription factor , economics , gene
Using nonlinear coherent states defined as approximate eigenstates of a deformed annihilation operator, we evaluate the response to a classical pulsed electric field of a system supporting a finite number of bound states. We calculate the temporal evolution of the average value of several observables like the momentum and the diplacement coordinate. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006