dorsal/arxiv
View SchemaConsistent analytical approach for the quasiclassical radial dipole matrix elements
| Authors | B. Kaulakys |
|---|---|
| Categories | |
| ArXiv ID | physics/9610018 |
| URL | https://arxiv.org/abs/physics/9610018 |
Abstract
A consistent analytical approach for calculation of the quasiclassical radial dipole matrix elements in the momentum and coordinate representations is presented. Very simple but relatively precise expressions for the matrix elements are derived in both representations. All analytical expressions contain only one special function -- the Anger function and its derivative. They generalise and increase the accuracy of some known quasiclassical expressions. The small difference between the two forms of the expressions for the dipole matrix elements indicates to the applicability of the simple expressions given by the consistent quasiclassical approach even for low atomic states.
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"date_created": "2026-03-02T18:01:18.146000Z",
"date_modified": "2026-03-02T18:01:18.146000Z",
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"abstract": "A consistent analytical approach for calculation of the quasiclassical radial\ndipole matrix elements in the momentum and coordinate representations is\npresented. Very simple but relatively precise expressions for the matrix\nelements are derived in both representations. All analytical expressions\ncontain only one special function -- the Anger function and its derivative.\nThey generalise and increase the accuracy of some known quasiclassical\nexpressions. The small difference between the two forms of the expressions for\nthe dipole matrix elements indicates to the applicability of the simple\nexpressions given by the consistent quasiclassical approach even for low atomic\nstates.",
"arxiv_id": "physics/9610018",
"authors": [
"B. Kaulakys"
],
"categories": [
"physics.atom-ph",
"quant-ph"
],
"title": "Consistent analytical approach for the quasiclassical radial dipole matrix elements",
"url": "https://arxiv.org/abs/physics/9610018"
},
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