N-Level Quantum Systems and Legendre Functions
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
An excitation dynamics of new quantum systems of N equidistant energy levels in a monochromatic field has been investigated. To obtain exact analytical solutions of dynamic equations an analytical method based on orthogonal functions of a real argument has been proposed. Using the orthogonal Legendre functions we have found an exact analytical expression for a population probability amplitude of the level n. Various initial conditions for the excitation of N-level quantum systems have been considered.
Cite
@article{arxiv.math-ph/0108019,
title = {N-Level Quantum Systems and Legendre Functions},
author = {A. S. Mazurenko and V. A. Savva},
journal= {arXiv preprint arXiv:math-ph/0108019},
year = {2007}
}
Comments
6 pages, latex, no figures, see also http://www.geocities.com/amazurenko/papers.html