Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2025-01-03T18:56:06.012Z Has data issue: false hasContentIssue false
  • English
  • Français

Eigenvalue approximation methods for quantum lattice Hamiltonians

Published online by Cambridge University Press:  17 April 2009

P.G. Hornby
P.G. Hornby
Affiliation:
School of Mathematics, University of New South Wales, PO Box 1, Kensington, New South Wales 2055, Australia.
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian PhD theses
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 3 , June 1985 , pp. 463 - 465
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Domb, C., Green, M.S. and Lebowitz, J.L., Phase transitions and critical phenomena, Vols. 1–8 (Academic Press, New York, London, 1972/1983).Google Scholar
[2]Drell, S.D., Weinstein, M. and Yankielowicz, S., “Quantum field theories on a lattice: variational methods for arbitrary coupling strengths and the Ising model in a transverse magnetic field”, Phys. Rev. D 16 (1977), 1769–1781.CrossRefGoogle Scholar
[3]Fisher, M.E. and Barber, M.N., “Scaling theory for finite-size effects in the critical region”, Phys. Rev. Lett. 28 (1972), 1516–1519.CrossRefGoogle Scholar
[4]Heys, D.W. and Stump, D.R., “Application of the Green's function Monte Carlo method to the Haniltonian XY model”, Phys. Rev. D 29 (1984), 1784–1794.CrossRefGoogle Scholar
[5]Horn, D. and Weinstein, M., “Gauge-invariant variational methods for Hamiltonian lattice gauge theories”, Phys. Rev. D 25 (1982), 3331–3335.CrossRefGoogle Scholar
[6]Pearson, R.B., “Application of Jastrow wave functions to quantum lattice spin theories”, Phys. Rev. A 18 (1978), 2655–2658.CrossRefGoogle Scholar
[7]Roomanay, H.H. and Wyld, H.W., “Finite-lattice approach to the 0(2) and 0(3) models in 1 + 1 dimensions and the (2+1) dimensional Ising model”, Phys. Rev. D 21 (1980), 3341–3349.CrossRefGoogle Scholar
[8]Singh, S.R., “Converging lower bounds to atomic binding energies”, J. Math. Phys. 22 (1981), 893–896.CrossRefGoogle Scholar