dorsal/arxiv
View SchemaSemiclassical Calculation of Transition Matrix Elements for Atoms in External Fields
| Authors | J. Main, G. Wunner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902007 |
| URL | https://arxiv.org/abs/quant-ph/9902007 |
| DOI | 10.1103/PhysRevA.59.R2548 |
| Journal | Phys.Rev. A59 (1999) 2548 |
Abstract
Closed orbit theory is generalized to the semiclassical calculation of cross-correlated recurrence functions for atoms in external fields. The cross-correlation functions are inverted by a high resolution spectral analyzer to obtain the semiclassical eigenenergies and transition matrix elements. The method is demonstrated for dipole transitions of the hydrogen atom in a magnetic field. This is the first semiclassical calculation of individual quantum transition strengths from closed orbit theory.
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"abstract": "Closed orbit theory is generalized to the semiclassical calculation of\ncross-correlated recurrence functions for atoms in external fields. The\ncross-correlation functions are inverted by a high resolution spectral analyzer\nto obtain the semiclassical eigenenergies and transition matrix elements. The\nmethod is demonstrated for dipole transitions of the hydrogen atom in a\nmagnetic field. This is the first semiclassical calculation of individual\nquantum transition strengths from closed orbit theory.",
"arxiv_id": "quant-ph/9902007",
"authors": [
"J. Main",
"G. Wunner"
],
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"quant-ph",
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"physics.atom-ph"
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"doi": "10.1103/PhysRevA.59.R2548",
"journal_ref": "Phys.Rev. A59 (1999) 2548",
"title": "Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields",
"url": "https://arxiv.org/abs/quant-ph/9902007"
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