Atoms in Unusual Situations pp 383-395 | Cite as

# States of an Atomic Electron Pair

## Abstract

Doubly excited states of atoms have now been studied for twenty years. The simultaneous excitation of two electrons from the ground state of an atom (or ion) leads to phenomena qualitatively different from those exhibited by single excitation. New basis states, new models and new quantum numbers are required to describe some of these phenomena. Broad-ly, all two electron states can be divided into two classes, those in which single particle behavior dominates and those which have to be considered throughout in terms of the electron pair. This distinction, the basic differences in the two types of states, the attendant implications for their experimental observation, and the broader setting of this study of the quantum mechanics of strongly perturbed or non-separable potentials are discussed.

## Keywords

Excited State Quantum Number Angular Correlation Helium Atom Principal Quantum Number## Preview

Unable to display preview. Download preview PDF.

## References

- 1.U. Fano and J. W. Cooper, Rev. Mod. Phys. 40, 441 (1968).ADSCrossRefGoogle Scholar
- 2.U. Fano, Rep. Prog. Phys. 46, 97 (1983). I will refer to this article frequently and for specific figures. It may be useful, therefore, to keep it alongside.ADSCrossRefGoogle Scholar
- 3.A. R. P. Rau, Atomic Physics 9, edited by R. S. Van Dyck and E. N. Fortson (World Scientific, Singapore, 1984).Google Scholar
- 4.U. Fano and A. R. P. Rau, Comm. At. Mol. Phys., (1985).Google Scholar
- 5.See, for instance, a review: G. H. Dunn, D. S. Belie, N. Djuric and D. W. Mueller, Atomic Physics 9, edited by R. S. Van Dyck and E. N. Fortson (World Scientific, Singapore, 1984).Google Scholar
- 6.C. Froese-Fischer, The Hartree Fock Method for Atoms (John Wiley, New York, 1977).Google Scholar
- 7.See, for instance, D. Kleppner, this volume.Google Scholar
- 8.L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Pergamon, Oxford, 1977), 3rd edition, Sec. 37.Google Scholar
- 9.See a review D. Herrick, Adv. Chem. Phys. 52, 1 (1983).CrossRefGoogle Scholar
- 10.
- 11.G. H. Wannier, Phys. Rev. 90, 817 (1953).ADSMATHCrossRefGoogle Scholar
- Recent reviews of the subject are in A. R. P. Rau, Phys. Rep. 110, 369 (1984), and in F. H. Read, Electron Impact Ionization, edited by G. H. Dunn and T. Mark (Springer-Verlag, 1984).ADSCrossRefGoogle Scholar
- 12.S. J. Buckman, P. Hammond, F. H. Read and G. C. King, J. Phys. B 16, 4039 (1983). The key figure on ridge states is reproduced in refs. 2-4.ADSCrossRefGoogle Scholar
- 13.L. A. Bloomfield, R. R. Freeman, W. E. Cooke and J. Bokor, Phys. Rev. Lett. 53, 2234 (1984).ADSCrossRefGoogle Scholar
- 14.P. Camus, P. Pillet and J. Boulmer, J. Phys. B, (1985).Google Scholar
- 15.I. C. Percival, Proc. Roy. Soc. (London) A 353, 289 (1977).ADSCrossRefGoogle Scholar
- 16.R. Bruch, P. L. Altick, E. Träbert and P. H. Heckmann, J. Phys. B 17, L655 (1984).ADSCrossRefGoogle Scholar
- A. B. Montesquieu, P. B. Cattin, A. Gleizes, A. I. Marrakchi, S. Dousson and D. Hitz, J. Phys. B 17, L127 and L223 (1984).Google Scholar
- 17.See, for instance, J. C. Gay, this volume.Google Scholar
- Also A. R. P. Rau, Comm. At. Mol. Phys. 10, 19 (1980) and J. de Physique Colloque C2, suppl. 11, 43, 211 (1982).Google Scholar
- 18.A. Arima and F. Iachello, Ann. Phys. (N.Y.) 99, 253 (1977).ADSCrossRefGoogle Scholar
- F. Iachello, Interacting Bosons in Nuclear Physics (Plenum, New York, 1979).CrossRefGoogle Scholar