Canadian Journal of Physics

A crash course on the simple Bethe Ansatz

Jeffrey Robert Schmidt

Published Mar 1, 2008• 1 citation

Abstract

The simple Bethe Ansatz is illustrated step by step in great detail for a variety of many-body quantum problems and lattice models. The focus is on a constructive presentation in which the problems of determining the spectral conditions and full wave functions are completely and transparently solved for the cases of the isotropic Heisenberg chain, N bosons or spin ħ/2 fermions with δ-function interactions, the XX-Heisenberg chain, and the six-vertex model. PACS Nos.: 05.50.+q, 05.30.Fk, 03.65.Fd, 75.10.Hk, 71.10.Fd

DOI: 10.1139/p07-177

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