ar X iv : m at h - ph / 0 10 80 19 v 1 2 4 A ug 2 00 1 N - LEVEL QUANTUM SYSTEMS AND LEGENDRE FUNCTIONS ∗
نویسندگان
چکیده
An excitation dynamics of new quantum systems of N equidistant energy levels in a mono-chromatic 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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