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arXiv · math-ph/0108019

N-Level Quantum Systems and Legendre Functions

A. S. Mazurenko·V. A. Savva
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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.

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A. S. Mazurenko, V. A. Savva. 2001-08-24. N-Level Quantum Systems and Legendre Functions. https://arxiv.org/abs/math-ph/0108019

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