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On the time‐dependent solutions of the Schrödinger's equation. II. The one‐mode field perturbed harmonic oscillator
Author(s) -
Palma A.,
Villa M.,
Sandoval L.
Publication year - 2011
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.23253
Subject(s) - floquet theory , semiclassical physics , harmonic oscillator , schrödinger equation , wave function , quantum mechanics , perturbation (astronomy) , physics , mathematical physics , field (mathematics) , quantum , quantum electrodynamics , mathematics , nonlinear system , pure mathematics
The solution of the time‐dependent Schrödinger's equation for a perturbed harmonic oscillator is obtained using a solvable Lie algebra. We choose a harmonic oscillator interacting with a one‐mode field, where the perturbation happens to be periodic in time. This leads to one of the simplest Floquet problems. Using the Wei–Norman theorem, the Floquet wave function is obtained as well as the semiclassical Floquet shift in the energy. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011