Signatures of the classical transition state in atomic quantum spectra

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.

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

References in corpus (2)

• Wigner's Dynamical Transition State Theory in Phase Space: Classical and Quantum
• Exceptional Points in Atomic Spectra

Cited by in corpus (5)

• Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points
• Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics
• Harmonic inversion analysis of exceptional points in resonance spectra
• Resonance wave functions located at the Stark saddle point
• Classical dynamics and localization of resonances in the high energy region of the hydrogen atom in crossed fields