A note on Freiman models in Heisenberg groups
✍ Scribed by Norbert Hegyvári, François Hennecart
- Book ID
- 111656730
- Publisher
- The Hebrew University Magnes Press
- Year
- 2011
- Tongue
- English
- Weight
- 180 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0021-2172
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It is shown that the isotropic Heisenberg model can be analysed in terms of a random walk on the permutation group. This approach makes it intuitively clear why the Heisenberg model exhibits long range order or ferrogmagnetic behavior in three dimensions and not in two and one dimensions. This appro
## Abstract A computational approach for general Heisenberg spin Hamiltonians for a finite number of interacting doublet species is described. Maximum use of permutation and point group symmetry is incorporated in factorizing the secular equation. Associated problems in the computation of symmetric