Contribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field

Details Contribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field Contribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field

2002-07-18

arxiv.org/abs/physics/0207072v1

Phys. Rev. A 67, 023402 (2003).

Physics

Atomic Physics

12 pages, 6 figures

Scientific paper

10.1103/PhysRevA.67.023402

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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