dorsal/arxiv
View SchemaSemiclassical time--dependent propagation in three dimensions: How accurate is it for a Coulomb potential?
| Authors | Gerd van de Sand, Jan M. Rost |
|---|---|
| Categories | |
| ArXiv ID | physics/9812013 |
| URL | https://arxiv.org/abs/physics/9812013 |
| DOI | 10.1103/PhysRevA.59.R1723 |
| Journal | Phys. Rev. A59, R1723 (1999) |
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 non-singular 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.
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"abstract": "A unified semiclassical time propagator is used to calculate the\nsemiclassical time-correlation function in three cartesian dimensions for a\nparticle moving in an attractive Coulomb potential. It is demonstrated that\nunder these conditions the singularity of the potential does not cause any\ndifficulties and the Coulomb interaction can be treated as any other\nnon-singular potential. Moreover, by virtue of our three-dimensional\ncalculation, we can explain the discrepancies between previous semiclassical\nand quantum results obtained for the one-dimensional radial Coulomb problem.",
"arxiv_id": "physics/9812013",
"authors": [
"Gerd van de Sand",
"Jan M. Rost"
],
"categories": [
"physics.atom-ph",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevA.59.R1723",
"journal_ref": "Phys. Rev. A59, R1723 (1999)",
"title": "Semiclassical time--dependent propagation in three dimensions: How accurate is it for a Coulomb potential?",
"url": "https://arxiv.org/abs/physics/9812013"
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