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Название: Invariant subspaces of clustering operators
Авторы: Malyshev V.A., Minlos R.A.
A class of clustering operators is defined which is a generalization of a transfer matrix of a Gibbs lattice field with an exponential decay of correlations. It is proved that for small values of the clustering operator has invariant subspaces which are similar tok-particle subspaces of the Fock space. The restriction of the clustering operator onto these subspaces resembles the operator exp(-H k, whereH k is thek- particle Schrödinger Hamiltonian in nonrelativistic quantum mechanics.