Abstract
Within the framework of classical mechanics two prototypes of strongly perturbed orbitals, the diamagnetism in hydrogen and electronic double excitation, are analyzed near critical phase space points (fixed points). The motion of the hydrogen electron under the joint influence of the Coulomb field and the magnetic field is periodic for any field strengths. For a two-electron atom however we find a chaotic time evolution of the electron pair correlation, causing presumably irregular spectral patterns.
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Macek, J. H.: J. Phys.B 1, 831 (1968)
Fano, U.: Rep. Prog. Phys.46, 97 (1983)
Klar, H.: Z. Phys. D (in press)
Wannier, G.: Phys. Rev.90, 817 (1953)
Starace, A. F., Webster, G. L.: Phys. Rev.A19, 1629 (1979)
Ackerhalt, J. R., Milonni, P. W., Shih, M.-L.: Phys. Rep.128, 205 (1985)
Reinhardt, W. P.: Journal de Physique43, Colloque'Supplément C2 29 (1982)
Klar, H.: J. Math. Phys.26, 1621 (1985)
Cooke, W. E., Bloomfield, L. A., Freeman, R. R., Bokor, J.: Lect. Notes in Phys.229, 187 (1985)
Klar, H., Schlecht, W.: J. Phys.B9, 1699 (1976)
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Klar, H. Periodicity and chaos in strongly perturbed classical orbitals for Coulomb interactions. Few-Body Systems 1, 123–134 (1986). https://doi.org/10.1007/BF01077003
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DOI: https://doi.org/10.1007/BF01077003