Premium
Eigenvalues of model Hamiltonian matrices from spectral density distribution moments: The Heisenberg spin Hamiltonian
Author(s) -
Karwowski Jacek,
BielínskaWaż Dorota,
Jurkowski Jacek
Publication year - 1996
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1996)60:1<185::aid-qua20>3.0.co;2-d
Subject(s) - hamiltonian (control theory) , eigenvalues and eigenvectors , physics , mathematical physics , heisenberg model , spin density , quantum mechanics , statistical physics , mathematics , condensed matter physics , ferromagnetism , mathematical optimization
An approach aimed at approximating the extreme (the lowest and/or the highest) eigenvalues of matrices representing many‐electron model Hamiltonians from a knowledge of several spectral density distribution moments is proposed. A detailed discussion of the Heisenberg spin Hamiltonian spectrum is presented as an example of an application. © 1996 John Wiley & Sons, Inc.