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An algorithm to obtain exact eigenvalues and eigenstates of the arbitrary spin Ising Hamiltonian in d dimensions
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UNSPECIFIED (2001) An algorithm to obtain exact eigenvalues and eigenstates of the arbitrary spin Ising Hamiltonian in d dimensions. PHYSICS LETTERS A, 283 (5-6). pp. 300-308. ISSN 0375-9601
Full text not available from this repository.Abstract
The Hamiltonian of the Ising model in d dimensions has been analysed using unitary transformations and combinatorics. We have been able to obtain closed formulas for the eigenvalues of the Ising Hamiltonian in an arbitrary number of dimensions. Furthermore, generalisations to a higher number of spin components on each site are possible within this method. We have made numerical comparisons with the partition function from the earlier analytical expressions known in the literature for one and two-dimensional cases and found complete agreement. (C) 2001 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Journal or Publication Title: | PHYSICS LETTERS A |
| Publisher: | ELSEVIER SCIENCE BV |
| ISSN: | 0375-9601 |
| Date: | 21 May 2001 |
| Volume: | 283 |
| Number: | 5-6 |
| Number of Pages: | 9 |
| Page Range: | pp. 300-308 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/12111 |
Data sourced from Thomson Reuters' Web of Knowledge
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