The finiteness of the number of eigenvalues of an hamiltonian in fock space

The finiteness of the number of eigenvalues of an hamiltonian in fock space
Daraja:
Oliy ta`lim
Turi:
Maqola
Til:
Ingliz tilida
Yaratilgan vaqti:
2021-04-17 23:55:49
We consider a model operator A associated with the Hamiltonian of a system describing three particles in interactions, without conservation of the number of particles on a d -dimensional lattice. We precisely describe the location and structure of the essential spectrum of A by the spectra of three families of the generalized Friedrichs models. We obtain a symmetric version of the Weinberg equation for eigenvectors of A and find the sufficient conditions for the finiteness of the discrete spectrum of A.

Дабавлено : 2021-04-17 23:55:49

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