Correspondence between classical and quantum chaos for hydrogen in a uniform magnetic field
- 1 June 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (8) , L259-L263
- https://doi.org/10.1088/0305-4470/16/8/001
Abstract
It is shown, by numerical computations, that the classical and the quantal critical energy of a hydrogen atom in a uniform magnetic field, characterising the onset of irregular motions, approximately coincide. This result is obtained by applying a simple scaling property of the classical Hamiltonian, valid only for Lz=0 (the angular momentum component along the field vanishes), to the numerically deduced relative areas of the irregular region of Poincare surfaces of section.Keywords
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