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Transmission of Electrons Through a Disordered Array of Potentials

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Computational Methods for Large Molecules and Localized States in Solids

Part of the book series: The IBM Research Symposia Series ((IRSS))

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Abstract

There is a close relationship between localized states and the transmission properties of solids.

This research was sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force, under grant numbers AFOSR-69-1745/70-1940.

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References

  1. See overview by D. Adler, Critical Reviews in Solid State Sciences, 2, 317 (1971).

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  2. P. Erdos and E. Rhodes, Helv. Phys. Acta 41, 785 (1968).

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  3. N. F. Mott and E. A. Davis, Electronic Processes in Non- Crystalline Materials, Clarendon Press, Oxford, 1971.

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  4. B. Velicky, Phys. Rev. 184, 614 (1969), and references quoted in his paper. See also H. J. Fischbeck, Phys. Stat. Sol. (b) 49, 829 (1972).

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  5. E. N. Economou and M. H. Cohen, Phys. Rev. B5, 2931 (1972), and references quoted in their paper.

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  6. R. Landauer, I. B. M. J. Res. Dev. 1, 223 (1958); Phil. Mag. 21, 863 (1970), and R. Landauer and W. F. Woo, Phys. Rev. B5, 1189 (1972).

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  7. I. D. Mikhailov and A. P. Kolesnikov, Soviet Phys. Solid State 13, 791 (1971).

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  8. R. de Li. Kronig and W. G. Penney, Proc. Roy. Soc. (London) 13, 499 (1931).

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  9. R. A. Smith, Wave Mechanics of Crystalline Solids, 2nd Ed., Chapman and Hall, London, 1969.

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Author information

Authors and Affiliations

  1. Department of Physics, The Florida State University, Tallahassee, Florida, 32306, USA

    Paul Erdös

  2. Nova University, Fort Lauderdale, Florida, 33314, USA

    R. C. Herndon

Authors
  1. Paul Erdös
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  2. R. C. Herndon
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Editor information

Editors and Affiliations

  1. Large-Scale Scientific Computations Department, IBM Research Laboratory, San Jose, California, USA

    Frank Herman , A. D. McLean  & R. K. Nesbet ,  & 

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© 1973 Plenum Press, New York

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Erdös, P., Herndon, R.C. (1973). Transmission of Electrons Through a Disordered Array of Potentials. In: Herman, F., McLean, A.D., Nesbet, R.K. (eds) Computational Methods for Large Molecules and Localized States in Solids. The IBM Research Symposia Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2013-5_24

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  • DOI: https://doi.org/10.1007/978-1-4684-2013-5_24

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2015-9

  • Online ISBN: 978-1-4684-2013-5

  • eBook Packages: Springer Book Archive

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