Conserved Quantities for Spin Models and Fermion Models

Abstract

Based on the quantum inverse scattering method, we present a systematic method to derive the conserved quantities (conserved operators) for integrable quantum systems. For spin models and fermion models, we show that the transfer matrix is put into a product form from which we readily have a sequence of conserved quantities. In particular, we explicitly give higher conserved quantities for the one-dimensional Hubbard model.