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On the Fourier transform features for the Coulomb potential in statistical theory

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Abstract

Based on the results of statistical quantum electrodynamics, it is shown that the Coulomb interaction potential has no Fourier component at a zero wave vector when considering the non-relativistic system of charged particles in a macroscopic volume. This result is of fundamental importance in the study of correlation functions of the Coulomb system, including that in the presence of a Bose–Einstein condensate.

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Authors and Affiliations

  1. Joint Institute of High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russia

    V. B. Bobrov & S. A. Trigger

  2. National Research University “Moscow Power Engineering Institute”, ul. Krasnokazarmennaya 14, Moscow, 111250, Russia

    V. B. Bobrov

  3. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    S. A. Trigger

  4. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrolohichna ul. 14b, Kiev, 03680, Ukraine

    A. G. Zagorodny

Authors
  1. V. B. Bobrov
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  2. S. A. Trigger
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  3. A. G. Zagorodny
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Corresponding author

Correspondence to S. A. Trigger.

Additional information

Original Russian Text © V.B. Bobrov, S.A. Trigger, A.G. Zagorodny, 2015, published in Kratkie Soobshcheniya po Fizike, 2015, Vol. 42, No. 11, pp. 28–32.

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Bobrov, V.B., Trigger, S.A. & Zagorodny, A.G. On the Fourier transform features for the Coulomb potential in statistical theory. Bull. Lebedev Phys. Inst. 42, 329–332 (2015). https://doi.org/10.3103/S1068335615110056

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  • DOI: https://doi.org/10.3103/S1068335615110056

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