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
This publication has 12 references indexed in Scilit:
- Quantum mechanics of classically non-integrable systemsPhysics Reports, 1988
- Rydberg states of rubidium in crossed electric and magnetic fieldsPhysical Review A, 1988
- Observation of spatially localized atomic electron wave packetsPhysical Review Letters, 1988
- A New Method for Producing Circular Rydberg StatesEurophysics Letters, 1988
- Classical limit of the hydrogen atomJournal of Physics A: General Physics, 1986
- Coherent states and the Kepler-Coulomb problemPhysical Review A, 1986
- On the classical limit of the Kepler problemLetters in Mathematical Physics, 1977
- Classical Limit of the Hydrogen AtomAmerican Journal of Physics, 1973
- Coherent states for arbitrary Lie groupCommunications in Mathematical Physics, 1972
- Über das Wasserstoffspektrum vom Standpunkt der neuen QuantenmechanikThe European Physical Journal A, 1926