arXiv:hep-th/9403149 · Modern Physics Letters A

QUANTUM INTEGRALS OF MOTION FOR THE HEISENBERG SPIN CHAIN

Marek Grabowski, Pierre Mathieu

Published Aug 10, 1994• 64 citations

Abstract

An explicit expression for all the quantum integrals of motion for the isotropic Heisenberg s=1/2 spin chain is presented. The conserved quantities are expressed in terms of a sum over simple polynomials in spin variables. This construction is direct and independent of the transfer matrix formalism. Continuum limits of these integrals in both ferromagnetic and antiferromagnetic sectors are briefly discussed.

DOI: 10.1142/s0217732394002057

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