Quantum and classical description of H atom under magnetic field and quadrupole trap potential

  1. Mahecha, J. 23
  2. Salas, J.P. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Antioquia
    info

    Universidad de Antioquia

    Medellín, Colombia

    ROR https://ror.org/03bp5hc83

  3. 3 LPMC, Institute of Physics, University Paul Verlaine, 1 Bv Arago, 57078 Metz Cedex 3, France
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Libro:
THE PHYSICS OF IONIZED GASES: 23rd Summer School and International Symposium on the Physics of Ionized Gases

Editorial: American Institute of Physics

ISBN: 0735403775

Año de publicación: 2006

Volumen: 876

Páginas: 96-103

Tipo: Capítulo de Libro

DOI: 10.1063/1.2406018 SCOPUS: 2-s2.0-33847068821 WoS: WOS:000244479600010 GOOGLE SCHOLAR

Resumen

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.

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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