N-Level Quantum Systems and Legendre Functions

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 Legendr...

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Bibliographic Details
Published in:arXiv.org 2001-08
Main Authors: Mazurenko, A S, Savva, V A
Format: Article
Language:English
Subjects:
Energy levels
Exact solutions
Excitation
Initial conditions
Legendre functions
Mathematical analysis
Orthogonal functions
Online Access:Get full text
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Summary: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.
ISSN:2331-8422