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On the phonon mediated electron-electron interactions

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  • Zieliński, J.

Abstract

We have applied a canonical transformation to get phonon mediated electron-electron interactions. As examples, the Hubbard model, periodic Anderson model and spinless Anderson model were considered as being relevant for a wide class of systems. Corrections to the displaced oscillator transformation and to the results of other authors have been derived. The significance of these differences for the effective interactions has been discussed.

Suggested Citation

  • Zieliński, J., 1984. "On the phonon mediated electron-electron interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 296-306.
    • Handle: RePEc:eee:phsmap:v:128:y:1984:i:1:p:296-306
    DOI: 10.1016/0378-4371(84)90093-1
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    1. repec:mhr:btrord:urn:isbn:9783163413016 is not listed on IDEAS
    2. Zielinska, B.J.A. & Bedeaux, D. & Vlieger, J., 1983. "Electric and magnetic susceptibilities for a fluid-fluid interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 28-46.
    3. Molnar, Daniel & Kammerud, Marshall, 1975. "Developing priorities for improving the urban social environment: A use of Delphi," Socio-Economic Planning Sciences, Elsevier, vol. 9(1), pages 25-29, February.
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