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

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

1995-07-12

arxiv.org/abs/cond-mat/9507039v1

Jour. Phys. A: Math. Gen. 28 (1995) L 433

Physics

Condensed Matter

Scientific paper

10.1088/0305-4470/28/16/003

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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