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Evaluation of the path integrals for non-interacting electron gas in a random gaussian potential

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Czechoslovak Journal of Physics B Aims and scope

Abstract

A new method based on the direct calculation of infinite products is developed in order to evaluate the functional integrals representing the one- and two-particle canonical density matrices for the Bezák's model of a disordered solid. The present results are in agreement with those obtained by an integral transform method (Barta, Papadopoulos).

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References

  1. Bezák V., Proc. Roy. Soc.A 315 (1970), 339.

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  2. Bezák V., J. Phys.A 4 (1971), 324.

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  3. Výrobíková J., The motion of a pair of electrons in a random gaussian potential (in Slovak), Diploma thesis, Charles University, Praha 1973.

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  4. Barta Š., Communication at 2nd Czechoslovak-German Symposium on the Theory of Disordered Systems, Praha, October 1973 (unpublished).

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  6. Bezák V., Tagungsband d. 2. Arbeitstagung „Statistische Physik“, Phys. Gesellschaft d. DDR, Leipzig 1974, p. 35.

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  7. Kedro M., private communication.

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Authors and Affiliations

  1. Institute of Solid State Physics, Czechosl. Acad. Sci., Prague, Cukrovarnická 10, 162 53, Praha 6, Czechoslovakia

    V. Drchal & J. Mašek

Authors
  1. V. Drchal
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  2. J. Mašek
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Drchal, V., Mašek, J. Evaluation of the path integrals for non-interacting electron gas in a random gaussian potential. Czech J Phys 26, 967–975 (1976). https://doi.org/10.1007/BF01587443

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  • DOI: https://doi.org/10.1007/BF01587443

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