J. Karwowski et al., EIGENVALUES OF MODEL HAMILTONIAN MATRICES FROM SPECTRAL DENSITY DISTRIBUTION MOMENTS - THE HEISENBERG SPIN-HAMILTONIAN, International journal of quantum chemistry, 60(1), 1996, pp. 185-193
An approach aimed at approximating the extreme (the lowest and/or the
highest) eigenvalues of matrices representing many-electron model Hami
ltonians from a knowledge of several spectral density distribution mom
ents is proposed. A detailed discussion of the Heisenberg spin Hamilto
nian spectrum is presented as an example of an application. (C) 1996 J
ohn Wiley & Sons, Inc.