ISSN:
1572-9613
Keywords:
Clustering operators
;
clustering estimates
;
transfer matrix
;
spectrum of many-body system
;
one-particle space
;
two-, three-, and many-particle spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract 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 ofβ 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. The spectrum of eachH k,k⩾1, is contained in the interval (C 1βk,C 2βk). These intervals do not intersect with each other.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01011467
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