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DESCRIPTION OF THE ESSENTIAL AND DISCRETE SPECTRUM OF A 3 × 3 OPERATOR MATRIX IN FERMIONIC FOCK SPACE

Tulkin H. RasulovBukhara State University Bukhara UzbekistanH. H. TurdievBukhara State University Bukhara UzbekistanAskar RahmonovBukhara State University Bukhara UzbekistanH SpohnR MinlosS LakaevT KhRasulov
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We consider a model operator 2 A associated with the energy operator of a lattice system describing three particles in interactions, without conservation of the number of particles. This operator acts in the cut subspace of fermionic Fock space. The essential and discrete spectrum of 2 A are described.

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