Contribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field
Phys. Rev. A 67, 023402 (2003). 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 contri...
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| Format | Journal Article |
| Language | English |
| Published |
18.07.2002
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| Abstract | Phys. Rev. A 67, 023402 (2003). 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. |
|---|---|
| AbstractList | Phys. Rev. A 67, 023402 (2003). 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. |
| Author | Matzkin, A Monteiro, T. S Dando, P. A |
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| BackLink | https://doi.org/10.1103/PhysRevA.67.023402$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.physics/0207072$$DView paper in arXiv |
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| Snippet | Phys. Rev. A 67, 023402 (2003). In a previous work [Phys. Rev. A \textbf{66}, 0134XX (2002)] we noted a
partial disagreement between quantum R-matrix and... |
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| Title | Contribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field |
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