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Hamiltonian moments and the Lanczos method in the Heisenberg model

Technical Report:

Abstract

The connected Hamiltonian moments, (H{sup n}){sub c} of the one dimensional s 1/2. Heisenberg model with respect to the Neel state are calculated up to n = 17. Subsequent calculation of Hamiltonian moments, (H{sup n}) allow the first nine iterations of the Lanczos diagonalization to be calculated analytically for arbitrarily lattice size. 12 refs., 3 figs.
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
UM-P-92/43; OZ-92/13.
Reference Number:
SCA: 661100; PA: AIX-24:003177; SN: 93000913695
Resource Relation:
Other Information: PBD: [1992]
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HEISENBERG MODEL; HAMILTONIANS; ANALYTICAL SOLUTION; EXPERIMENTAL DATA; MATHEMATICAL OPERATORS; MATRICES; SPIN; 661100; CLASSICAL AND QUANTUM MECHANICS
Sponsoring Organizations:
Australian Research Council, Canberra, ACT (Australia)
OSTI ID:
10109007
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE93609845; TRN: AU9212949003177
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[17] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Hollenberg, L C.L., and Griffin, C J. Hamiltonian moments and the Lanczos method in the Heisenberg model. Australia: N. p., 1992. Web.
Hollenberg, L C.L., & Griffin, C J. Hamiltonian moments and the Lanczos method in the Heisenberg model. Australia.
Hollenberg, L C.L., and Griffin, C J. 1992. "Hamiltonian moments and the Lanczos method in the Heisenberg model." Australia.
@misc{etde_10109007,
title = {Hamiltonian moments and the Lanczos method in the Heisenberg model}
author = {Hollenberg, L C.L., and Griffin, C J}
abstractNote = {The connected Hamiltonian moments, (H{sup n}){sub c} of the one dimensional s 1/2. Heisenberg model with respect to the Neel state are calculated up to n = 17. Subsequent calculation of Hamiltonian moments, (H{sup n}) allow the first nine iterations of the Lanczos diagonalization to be calculated analytically for arbitrarily lattice size. 12 refs., 3 figs.}
place = {Australia}
year = {1992}
month = {Dec}
}