%0 Journal Article %1 QUA:QUA23253 %A Palma, A. %A Villa, M. %A Sandoval, L. %D 2012 %I Wiley Subscription Services, Inc., A Wiley Company %J International Journal of Quantum Chemistry %K algebra equation floquet lie mechanics physics quantum schrodinger solution theory %N 12 %P 2441--2443 %R 10.1002/qua.23253 %T On the time-dependent solutions of the Schrödinger's equation. II. The one-mode field perturbed harmonic oscillator %U http://dx.doi.org/10.1002/qua.23253 %V 112 %X 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

@article{QUA:QUA23253, abstract = {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}, added-at = {2012-07-30T05:28:31.000+0200}, author = {Palma, A. and Villa, M. and Sandoval, L.}, biburl = {https://www.bibsonomy.org/bibtex/2b169f024503dff92ff8609d5db35f25b/drmatusek}, description = {On the time-dependent solutions of the Schrödinger's equation. II. The one-mode field perturbed harmonic oscillator - Palma - 2011 - International Journal of Quantum Chemistry - Wiley Online Library}, doi = {10.1002/qua.23253}, interhash = {2a003b1e827aa46b978ddb8774989f08}, intrahash = {b169f024503dff92ff8609d5db35f25b}, issn = {1097-461X}, journal = {International Journal of Quantum Chemistry}, keywords = {algebra equation floquet lie mechanics physics quantum schrodinger solution theory}, month = jun, number = 12, pages = {2441--2443}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2012-08-16T01:11:00.000+0200}, title = {On the time-dependent solutions of the Schrödinger's equation. II. The one-mode field perturbed harmonic oscillator}, url = {http://dx.doi.org/10.1002/qua.23253}, volume = 112, year = 2012 }