Rydberg states of the hydrogen atom in the instantaneous van der Waals potential: Quantum mechanical, classical and semiclassical treatment
- Salas, J.P. 1
- Simonović, N.S. 2
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1
Universidad de La Rioja
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2
University of Belgrade
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ISSN: 0953-4075
Año de publicación: 2000
Volumen: 33
Número: 3
Páginas: 291-302
Tipo: Artículo
beta Ver similares en nube de resultadosOtras 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.