Jordan-Wigner transformations and their generalizations for multidimensional systems
| dc.creator | Kochman'ski, Martin S. | |
| dc.date | 1998-07-29 | |
| dc.date.accessioned | 2026-07-07T03:11:10Z | |
| dc.date.available | 2026-07-07T03:11:10Z | |
| dc.description | In the paper nonlinear transformations of the Jordan-Wigner (JW) type are introduced in the form different from the ones known previously, for the purpose of expressing multi-index Pauli operators in terms of multi-index Fermi creation and annihilation operators. These JW transformations in the general case being a subject of a rather complicated algebra of transposition relations between various sets of Fermi creation and annihilation operators, depending on the common multiindex of the latter, is shown. As an example, the two- and three- dimensional transformations of the JW type are investigated, their properties and possible applications in analysis of a couple of lattice models of statistical mechanics and also an example of application of these transformations to problems of self-avoiding walks in graph theory, are discussed. The relation of the obtained transformations to the previously known transformations of the JW type for higher dimensions is shown. | |
| dc.description | 22 pages, REVTEX | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9807388 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9807388 | |
| dc.identifier | Journal Tech.Phys., v.36, 485 (1995)/partly/ | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28473 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Jordan-Wigner transformations and their generalizations for multidimensional systems | |
| dc.type | text |