Soviet Physics Journal

, Volume 23, Issue 5, pp 414–419 | Cite as

Equations with a self-consistent field in quantum-statistical theory of a crystal

  • V. A. Golovko


A system of equations with a self-consistent field is derived for the density of particles in the quantum case. This system has periodic solutions for a crystal. Equations for the Fourier coefficients are deduced from these solutions and are used to find equations containing only the Fourier coefficients of the density. A method is also given for solving the initial system by an expansion in powers of the Planck constant ħ; the terms proportional to ħ2 and ħ2 are calculated.


Fourier Periodic Solution Fourier Coefficient Initial System Quantum Case 
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Literature cited

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    I. P. Bazarov, Statistical Theory of the Crystal State [in Russian], Moscow State University (1972).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • V. A. Golovko
    • 1
  1. 1.Evening Metallurgical InstituteMoscow

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