INTEGRALS OF MOTION AND QUANTUM FLUCTUATIONS

Fyodor Malikov

E. Susana Hernández

Anatoly Georgievich Meshkov, V. N. Shapovalov

Al.B. Zamolodchikov

Some nontrivial integrals of motion for the scaling 3-state Potts model are constructed explicitly. These integrals of motion prove the corresponding scattering matrix to be factorizable and allow one to “derive” this S-matrix under a few natural assumptions.

Daniel M. Greenberger

Marek Grabowski, Pierre Mathieu

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.