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TMF, 2006 Volume 148, Number 3, Pages 428–443 (Mi tmf2325)

This article is cited in 9 papers

A Hunziker–van Winter–Zhislin theorem for a four-particle lattice Schrödinger operator

M. I. Muminov

A. Navoi Samarkand State University

Abstract: We consider a discrete Schrödinger operator for four arbitrary particles with short-range pair potentials. We describe the position and the structure of its essential spectrum and prove the Hunziker–van Winter–Zhislin theorem.

Keywords: cluster decomposition, channel operator, essential spectrum, compact operator.

Received: 11.01.2006
Revised: 10.03.2006

DOI: 10.4213/tmf2325


 English version:
Theoretical and Mathematical Physics, 2006, 148:3, 1236–1250

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© Steklov Math. Inst. of RAS, 2024