Semiclassical time-dependent propagation in three dimensions for a Coulomb potential
- 1 March 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 59 (3) , R1723-R1726
- https://doi.org/10.1103/physreva.59.r1723
Abstract
A unified semiclassical time propagator is used to calculate the semiclassical time-correlation function in three Cartesian dimensions for a particle moving in an attractive Coulomb potential. It is demonstrated that under these conditions the singularity of the potential does not cause any difficulties and the Coulomb interaction can be treated as any other nonsingular potential. Moreover, by virtue of our three-dimensional calculation, we can explain the discrepancies between previous semiclassical and quantum results obtained for the one-dimensional radial Coulomb problem.Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- From the coherent state path integral to a semiclassical initial value representation of the quantum mechanical propagatorPhysics Letters A, 1998
- Harmonic inversion of time signals and its applicationsThe Journal of Chemical Physics, 1997
- Spectral Analysis of Time Correlation Function for a Dissipative Dynamical System Using Filter Diagonalization: Application to Calculation of Unimolecular Decay RatesPhysical Review Letters, 1997
- Semiclassical calculation of Franck-Condon intensities for reactive systemsChemical Physics Letters, 1996
- Wave packet correlation function approach to H2(ν)+H→H+H2(ν′): semiclassical implementationChemical Physics Letters, 1996
- Time-dependent semiclassical calculation of resonance lifetimesChemical Physics Letters, 1996
- Regularized semiclassical radial propagator for the Coulomb potentialPhysical Review A, 1994
- Integral expressions for the semiclassical time-dependent propagatorThe Journal of Chemical Physics, 1994
- Semiclassical theory of quantum propagation: The Coulomb potentialPhysical Review Letters, 1993
- A semiclasical justification for the use of non-spreading wavepackets in dynamics calculationsChemical Physics, 1984