Signatures of the classical transition state in atomic quantum spectra

Details Signatures of the classical transition state in atomic quantum spectra Signatures of the classical transition state in atomic quantum spectra

2009-02-12

arxiv.org/abs/0902.2168v2

Phys. Rev. A 79, 033412 (2009)

Physics

Atomic Physics

5 pages, 4 figures, 1 table, one reference was added

Scientific paper

10.1103/PhysRevA.79.033412

We perform quantum mechanically exact calculations of resonances in the spectrum of the hydrogen atom in crossed external fields and establish a close connection between the classical transition state in phase space and features in the quantum spectrum. By varying the external field strengths, structures are revealed which are surprisingly similar to the quantized energy levels of the classical electron motion in the vicinity of the saddle point obtained with an approximation of the potential. The results give clear evidence for signatures of the transition state in quantum spectra.

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