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Calculation of the Density of States Using Discrete Variable Representation and Toeplitz Matrices

Eli Eisenberg·Asher Baram·Michael Baer
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Abstract

A direct and exact method for calculating the density of states for systems with localized potentials is presented. The method is based on explicit inversion of the operator $E-H$. The operator is written in the discrete variable representation of the Hamiltonian, and the Toeplitz property of the asymptotic part of the obtained {\it infinite} matrix is used. Thus, the problem is reduced to the inversion of a {\it finite} matrix.

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Eli Eisenberg, Asher Baram, Michael Baer. 1995-07-12. Calculation of the Density of States Using Discrete Variable Representation and Toeplitz Matrices. https://doi.org/10.1088/0305-4470%2F28%2F16%2F003

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