For the Quantum Heisenberg Ferromagnet, a Polymer Expansion and its High T Convergence
| dc.creator | Federbush, Paul | |
| dc.date | 2001-08-02 | |
| dc.date.accessioned | 2026-07-07T04:28:35Z | |
| dc.date.available | 2026-07-07T04:28:35Z | |
| dc.description | We let Psi_0 be a wave function for the Quantum Heisenberg ferromagnet sharp i sigma_zi and Psi_mu = exp(-mu*H)Psi_0. We study expectations similar to the form <Psi_mu,(sigma_zi)Psi_mu>/<Psi_mu,Psi_mu> for which we present a formal polymer expansion, whose convergence we prove for sufficiently small mu. The approach of the paper is to relate the wavefunction Psi_mu to an approximation to it that is a product function. In the jth spot of the product approximation the upper component is phi_mu(j), and the lower component is (1-phi_mu(j)), where phi satisfies the lattice heat equation. This is shown via a cluster or polymer expansion. The present work began in a previous paper, primarily a numerical study, and provides a proof of results related to Conjecture 3 of this previous paper. | |
| dc.description | LaTeX, 35 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0108002 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0108002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56841 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Condensed Matter | |
| dc.title | For the Quantum Heisenberg Ferromagnet, a Polymer Expansion and its High T Convergence | |
| dc.type | text |