Rydberg states of the hydrogen atom in the instantaneous van der Waals potential: Quantum mechanical, classical and semiclassical treatment

  1. Salas, J.P. 1
  2. Simonović, N.S. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 University of Belgrade
    info

    University of Belgrade

    Belgrado, Serbia

    ROR https://ror.org/02qsmb048

Revista:
Journal of Physics. B, Atomic Molecular and Optical Physics Print

ISSN: 0953-4075

Año de publicación: 2000

Volumen: 33

Número: 3

Páginas: 291-302

Tipo: Artículo

DOI: 10.1088/0953-4075/33/3/301 SCOPUS: 2-s2.0-0033908672 WoS: WOS:000085480600003 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Physics. B, Atomic Molecular and Optical Physics Print

Resumen

We present a quantum mechanical, classical and semiclassical study of the energy spectrum of a Rydberg hydrogen atom in the instantaneous van der Waals potential for the L z = 0 case. The semiclassical results are in good agreement with the results of the quantum mechanical calculations within the first-order perturbation theory as well as with the quantum mechanical calculations of other authors. The classical analysis shows that the phase space of the system is separated into the regions of vibrational and rotational motions, which are connected, respectively, with the lower-lying energy levels of doublet symmetry, and with the non-degenerate higher-energy levels. Finally, we compare the classical (eigen)trajectories with the corresponding eigenstates and find that both of them show the same symmetry patterns.