On the finiteness of the discrete spectrum of a 3x3

On the finiteness of the discrete spectrum of a 3x3
Daraja:
Oliy ta`lim
Turi:
Maqola
Til:
Ingliz tilida
Yaratilgan vaqti:
2021-04-17 03:26:24
An operator matrix H associated with a lattice system describing three particles in interactions, without conservation of the number of particles, is considered. The structure of the essential spectrum of H is described by the spectra of two families of the generalized Friedrichs models. A symmetric version of the Weinberg equation for eigenvectors of H is obtained. The conditions which guarantee the finiteness of the number of discrete eigenvalues located below the bottom of the three-particle branch of the essential spectrum of H is found.

Дабавлено : 2021-04-17 03:26:24

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