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Signatures of the classical transition state in atomic quantum spectra

2009/02/23 by Holger Cartarius, Jörg Main, Günter Wunner
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #physics.atom-ph

paper · pdf · doi:10.1103/physreva.79.033412

published as Phys. Rev. A 79, 033412 (2009) · 5 pages, 4 figures, 1 table, one reference was added

arxiv created 2009/02/23 · openalex publication_date 2009/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations