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A new variational method in the problem of the spectrum of elementary excitations in an edge-dislocation crystal

Low Temperature Physics, ISSN: 1063-777X, Vol: 23, Issue: 12, Page: 976-979
1997
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  • Citations
    5
    • Citation Indexes
      5

Article Description

A new method based on a combination of the direct variational method and perturbation theory is proposed to calculate approximately the eigenvalues and eigenfunctions of ground state and the states close to it. The new method is applicable to the Schrödinger equation with a potential proportional to the dilatation produced by an edge dislocation. The ground-state energy obtained in this case is lower than the theoretical values obtained in other works. The energy value is obtained for the lowest state for which the eigenfunction is odd in the azimuthal angle. It is assumed that the spectrum may be described only statistically near the condensation point. © 1997 American Institute of Physics.

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