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On the ionization of crystals

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Abstract

We provide a lower bound for the energy required to ionize an “electron” from a finite crystal of low density and we show that the bound is independent of the crystal size. The electrons interact with each other and with the fixed positive charges by short range interactions from a suitable class of potentials.

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References

  1. Hunziker, W.: On the spectra of Schrödinger multiparticle Hamiltonians. Helv. Phys. Acta39, 451–462 (1966)

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  2. Simon, B.: On the infinitude or finiteness of the number of bound states of anN-body quantum system I. Helv. Phys. Acta43, 607–630 (1970)

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Author notes

  1. L. E. Thomas

    Present address: Dept. of Mathematics, University of Virginia, Charlottesville, Va., USA

Authors and Affiliations

  1. Département de Physique Théorique, Université de Genève, Genève, Switzerland

    J. -P. Eckmann & L. E. Thomas

Authors
  1. J. -P. Eckmann
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  2. L. E. Thomas
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Additional information

Communicated by W. Hunziker

Supported by the Founds National Suisse.

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Eckmann, J.P., Thomas, L.E. On the ionization of crystals. Commun.Math. Phys. 41, 175–189 (1975). https://doi.org/10.1007/BF01608756

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  • DOI: https://doi.org/10.1007/BF01608756

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