Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems

The time-evolution of the maximum and the width of exact analytic wave packet (WP) solutions of the time-dependent Schrödinger equation (SE) represents the particle and wave aspects, respectively, of the quantum system. The dynamics of the maximum, located at the mean value of position, is governed...

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Bibliographic Details
Main Author: Dieter Schuch
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-05-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2008/043/