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This article is cited in 9 scientific papers (total 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
Citation:
M. I. Muminov, “A Hunziker–van Winter–Zhislin theorem for a four-particle lattice Schrödinger operator”, TMF, 148:3 (2006), 428–443; Theoret. and Math. Phys., 148:3 (2006), 1236–1250
Linking options:
https://www.mathnet.ru/eng/tmf2325https://doi.org/10.4213/tmf2325 https://www.mathnet.ru/eng/tmf/v148/i3/p428
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Abstract page: | 603 | Full-text PDF : | 303 | References: | 68 | First page: | 1 |
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