N-Level Quantum Systems and Legendre Functions

Details N-Level Quantum Systems and Legendre Functions N-Level Quantum Systems and Legendre Functions

2001-08-24

arxiv.org/abs/math-ph/0108019v1

Proceedings of Third Annual Seminar "Nonlinear phenomena in complex systems", Minsk: Institute of Physics, 1995, 328

Physics

Mathematical Physics

6 pages, latex, no figures, see also http://www.geocities.com/amazurenko/papers.html

Scientific paper

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.

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