Ground state Euclidean measures for quantum lattice systems on compact manifolds

Abstract

Albeverio S, Kondratiev Y, Minlos RA, Shchepan'uk GV. Ground state Euclidean measures for quantum lattice systems on compact manifolds. REPORTS ON MATHEMATICAL PHYSICS. 2000;45(3):419-429.Quantum lattice systems with compact spins and nearest-neighbour interactions are considered. The existence and uniqueness of the corresponding ground state Euclidean measures are proved for sufficiently small mass of the particles

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