dorsal/arxiv
View SchemaContribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field
| Authors | A. Matzkin, P. A. Dando, T. S. Monteiro |
|---|---|
| Categories | |
| ArXiv ID | physics/0207072 |
| URL | https://arxiv.org/abs/physics/0207072 |
| DOI | 10.1103/PhysRevA.67.023402 |
| Journal | Phys. Rev. A 67, 023402 (2003). |
Abstract
In a previous work [Phys. Rev. A \textbf{66}, 0134XX (2002)] we noted a partial disagreement between quantum R-matrix and semiclassical calculations of photoabsorption spectra of molecules in a magnetic field. We show this disagreement is due to a non-vanishing contribution of processes which are forbidden according to the usual semiclassical formalism. Formulas to include these processes are obtained by using a refined stationary phase approximation. The resulting higher order in $\hbar$ contributions also account for previously unexplained ``recurrences without closed-orbits''. Quantum and semiclassical photoabsorption spectra for Rydberg atoms and molecules in a magnetic field are calculated and compared to assess the validity of the first-order forbidden orbit contributions.
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"abstract": "In a previous work [Phys. Rev. A \\textbf{66}, 0134XX (2002)] we noted a\npartial disagreement between quantum R-matrix and semiclassical calculations of\nphotoabsorption spectra of molecules in a magnetic field. We show this\ndisagreement is due to a non-vanishing contribution of processes which are\nforbidden according to the usual semiclassical formalism. Formulas to include\nthese processes are obtained by using a refined stationary phase approximation.\nThe resulting higher order in $\\hbar$ contributions also account for previously\nunexplained ``recurrences without closed-orbits\u0027\u0027. Quantum and semiclassical\nphotoabsorption spectra for Rydberg atoms and molecules in a magnetic field are\ncalculated and compared to assess the validity of the first-order forbidden\norbit contributions.",
"arxiv_id": "physics/0207072",
"authors": [
"A. Matzkin",
"P. A. Dando",
"T. S. Monteiro"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.67.023402",
"journal_ref": "Phys. Rev. A 67, 023402 (2003).",
"title": "Contribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field",
"url": "https://arxiv.org/abs/physics/0207072"
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