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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1992 Volume 91, Number 1, Pages 51–65 (Mi tmf5561)

This article is cited in 22 papers

Bound states and resonances of $N$-particle discrete Schrödinger operator

S. N. Lakaev

A. Navoi Samarkand State University

Abstract: The existence of bound states and resonances of the Hamiltonian of a system of $N$ different quantum lattice particles with nonvanishing $N$-particle short-range interaction is proved. The dependence of the bound states and the resonances on the coupling constant and the quasimomentum is studied.

Received: 04.06.1991


 English version:
Theoretical and Mathematical Physics, 1992, 91:1, 362–372

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