Geodesic
Bound states of a cluster operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 1, pp. 83-93 
S. N. Lakaev; R. A. Minlos. Bound states of a cluster operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 1, pp. 83-93. http://geodesic.mathdoc.fr/item/TMF_1979_39_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The bound states of a self-adjoint cluster operator with maximal single-particle spectrum are studied. It is shown that under certain conditions this spectrum can disappear, being absorbed by the continuous two-particle spectrum. It is shown that this phenomenon can occur in the spectrum of the transfer matrix of certain two-dimensional Gibbs lattice fields (for example, in the so-called eight-vertex model).

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