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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• Main Author: Schuch, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149040
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems / D. Schuch // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 22 назв. — англ.

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...