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On one formulation of the Green function method for periodic lattices - MaRDI portal

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On one formulation of the Green function method for periodic lattices (Q2773568)

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scientific article; zbMATH DE number 1710204
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English
On one formulation of the Green function method for periodic lattices
scientific article; zbMATH DE number 1710204

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    24 February 2002
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    Bessel function
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    spherical harmonics
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    rate of convergence
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    On one formulation of the Green function method for periodic lattices (English)
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    The authors are motivated by the study of energy spectrum of crystal solids in terms of the Schrödinger equation. They propose a modification of the Green function method which makes it possible (i) to replace integration over the cell of the crystal body by integration over the whole space and (ii) to improve the rate of convergence of the corresponding series.
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