Semiclassical Calculation of Transition Matrix Elements for Atoms in External Fields

Abstract

Closed orbit theory is generalized to the semiclassical calculation of cross-correlated recurrence functions for atoms in external fields. The cross-correlation functions are inverted by a high resolution spectral analyzer to obtain the semiclassical eigenenergies and transition matrix elements. The method is demonstrated for dipole transitions of the hydrogen atom in a magnetic field. This is the first semiclassical calculation of individual quantum transition strengths from closed orbit theory.

4 pages, 2 figures, REVTEX, submitted to Phys. Rev. A (Rapid Communications)

References in corpus (1)

• Harmonic inversion as a general method for periodic orbit quantization

Cited by in corpus (6)

• Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering
• Use of Harmonic Inversion Techniques in Semiclassical Quantization and Analysis of Quantum Spectra
• Decimation and Harmonic Inversion of Periodic Orbit Signals
• Harmonic inversion analysis of exceptional points in resonance spectra
• Semiclassical quantization of the hydrogen atom in crossed electric and magnetic fields
• Photoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: Closed orbit theory with bifurcating orbits