publication . Preprint . 2001

N-Level Quantum Systems and Legendre Functions

Mazurenko, A. S.; Savva, V. A.;
Open Access English
  • Published: 24 Aug 2001
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.
Subjects
free text keywords: Mathematical Physics, 34A05, 42C15
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