Combinatorial Solution of One-Dimensional Quantum Systems
| dc.creator | Marchetti, Domingos H. U. | |
| dc.creator | Rodrigues, Claudio F. S. | |
| dc.date | 2003-09-25 | |
| dc.date.accessioned | 2026-07-07T02:53:46Z | |
| dc.date.available | 2026-07-07T02:53:46Z | |
| dc.description | We give a self-contained exposition of the combinatorial solution of quantum mechanical systems of coupled spins on a one-dimensional lattice. Using Trotter formula, we write the partition function as a generating function of a spanning subgraph of a two-dimensional lattice and solve the combinatorial problem by the method of Pfaffians provided the weights satisfy the so-called free fermion condition. The free energy and the ground state energy as a function of the inverse temperature, couplings J and magnetic fields h, for the XY model in a transverse field with period p=1 and 2, is then obtained. | |
| dc.description | Number of figures: 9 (eps) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0309593 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0309593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22293 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Combinatorial Solution of One-Dimensional Quantum Systems | |
| dc.type | text |