Correspondence between classical and quantum chaos for hydrogen in a uniform magnetic field
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 L z =0 (the angular momentum component along the field vanishes), to the numerically deduced relative areas of the irregular region of Poincare surfaces of section.
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