Quantum wave packets on Kepler elliptic orbits
- 1 July 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 40 (2), 1133-1136
- https://doi.org/10.1103/physreva.40.1133
Abstract
Wave-packet solutions of the Schrödinger equation for the Coulomb potential are obtained that travel along classical elliptic orbits of fixed mean eccentricity and angular momentum. These wave packets are coherent states that have minimal quantum fluctuations in the noncommuting components of the Lenz vector in the plane of the orbit. For large quantum numbers the asymptotic form of the wave packet and the classical equations of the orbit are obtained analytically. DOI: http://dx.doi.org/10.1103/PhysRevA.40.1133 © 1989 The American Physical SocietyKeywords
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