Abstract:
An N-particle additive cluster operator is considered. An analog of the Hunziger–van Winter–Zhislin theorem on the structure of the essential spectrum for fixed total momentum is proved for it.
This publication is cited in the following 3 articles:
S. N. Lakaev, A. T. Boltaev, “The Essential Spectrum of a Three Particle Schrödinger Operator on Lattices”, Lobachevskii J Math, 44:3 (2023), 1176
Z. E. Muminov, Sh. S. Lakaev, N. M. Aliev, “On the Essential Spectrum of Three-Particle Discrete Schrödinger Operators with Short-Range Potentials”, Lobachevskii J Math, 42:6 (2021), 1304
Albeverio, S, “On the structure of the essential spectrum for the three-particle Schrodinger operators on lattices”, Mathematische Nachrichten, 280:7 (2007), 699