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JOURNALS
// Teoreticheskaya i Matematicheskaya Fizika
// Archive
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
Fulltext:
PDF file (444 kB)
References
Cited by
English version:
Theoretical and Mathematical Physics, 2006,
148
:3,
1236–1250
Bibliographic databases:
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Steklov Math. Inst. of RAS
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