Classical and quantum-mechanical transition between regularity and irregularity in a Hamiltonian system

D. Wintgen, H. Friedrich

Research output: Contribution to journalArticlepeer-review

93 Scopus citations

Abstract

We study the transition from regularity to irregularity for a physically real Hamiltonian system, viz., the hydrogen atom in a uniform magnetic field. We obtain quantitative correspondence between the transition in classical phase space and the change in the level statistics of the quantum energy spectra. Beyond the completely regular regime, the distributions of level spacings show a pronounced minimum at small spacings and cannot be accurately fitted by the semiclassical formula of Berry and Robnik [J. Phys. A 17, 2413 (1984)].

Original languageEnglish
Pages (from-to)1464-1466
Number of pages3
JournalPhysical Review A
Volume35
Issue number3
DOIs
StatePublished - 1987
Externally publishedYes

Fingerprint

Dive into the research topics of 'Classical and quantum-mechanical transition between regularity and irregularity in a Hamiltonian system'. Together they form a unique fingerprint.

Cite this