This article is cited in 11 papers

First integrals and stationary states for quantum Heisenberg spin dynamics

V. V. Anshelevich


Abstract: Problem of the existence of the first integrals and stationary states with respect to one-parameter group of automorphisms of $C^*$-algebra of quasilocal observables is studied in the case of a quantum spin system with arbitrary spin on a $\nu$-dimensional integer lattice generated by the potential of the isotropic Heisenberg model with the interaction of nearest neighbours.

Received: 11.04.1979

 English version: Theoretical and Mathematical Physics, 1980, 43:1, 350–352

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