Quantum and classical description of H atom under magnetic field and quadrupole trap potential
- Mahecha, J. 23
- Salas, J.P. 1
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1
Universidad de La Rioja
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2
Universidad de Antioquia
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- 3 LPMC, Institute of Physics, University Paul Verlaine, 1 Bv Arago, 57078 Metz Cedex 3, France
Editorial: American Institute of Physics
ISBN: 0735403775
Año de publicación: 2006
Volumen: 876
Páginas: 96-103
Tipo: Capítulo de Libro
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A discussion regarding the energy levels spectrum of quantum systems whose classical analogous has states of chaotic motion is presented. The chaotic dynamics of the classical underlying system has its manifestation in the wave functions (in the form of "scars") and in the energy levels (in the form of "statistical repulsion" of the energy levels). The above mentioned signatures are named "quantum chaos". A typical study of quantum chaos requires finding accurate energy eigenvalues of highly excited states, to calculate the nearest neighbors spacing between levels, to perform the "unfolding" of the spectrum in order to separate the fluctuations, and finally to find the probability distribution of the unfolded spectrum. This is exemplified by the hydrogen atom under uniform magnetic field and a quadrupole electric field. © 2006 American Institute of Physics.
Información de financiación
JM thanks the Universite Paul Verlaine - Metz UPVM for the awarding of a visiting fellowship to the Laboratoire de Physique Moleculaire et des Collisions LPMC of the UPVM.Financiadores
- Universite Paul Verlaine - Metz UPVM