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Some applications of the discrete fourier transform to problems of crystal lattice deformation I

НЕКОТОРЫЕ ПРИМЕНЕНИ Я ПРЕОБРАЗОВАНИЯ ФУРЬЕ К ПРОБЛЕМАМ ДЕФ ОРМАЦИИ КРИСТАЛЛИЧЕ СКОЙ РЕШЕТКИ

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Cechoslovackij fiziceskij zurnal B Aims and scope

Abstract

The theory of the discrete Fourier transform [1], [2] is applied in solving a system of difference equations describing the positions of atoms in a deformed crystal lattice. The crystal lattice is approximated by the Born-Kármán model modified to include the internal energy of the undeformed crystal.

Abstract

Для решения системы у равнений в конечных р азностях, описывающи х положения атомов в деφормирова нной кристаллическо й решетке, применена т еория преобразовани я Фурье, развитая в [1] и [2]. В к ачестве приближения применена модель кри сталлической решетки Б орна-Карман а, видоизмененая так, ч тобы включала в себя в нутреннюю энергию недеφормиро ванного кристалла.

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Authors and Affiliations

  1. Institute of Mathematics, Czechosl. Acad. Sci., Prague

    I. Babuška & E. Vitásek

  2. Institute of Physics, Czechosl. Acad. Sci., Prague

    F. Kroupa

Authors
  1. I. Babuška
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  2. E. Vitásek
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  3. F. Kroupa
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Babuška, I., Vitásek, E. & Kroupa, F. Some applications of the discrete fourier transform to problems of crystal lattice deformation I. Czech J Phys 10, 419–427 (1960). https://doi.org/10.1007/BF01557275

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  • DOI: https://doi.org/10.1007/BF01557275

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