Geodesic
Bound states of a~cluster operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 1, pp. 83-93

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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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     author = {S. N. Lakaev and R. A. Minlos},
     title = {Bound states of a~cluster operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {83--93},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_39_1_a8/}
}
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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/