14-25 Z.Muminov, Sh.Kholmatov
The HVZ theorem for $N$-particle Schr\"odinger operators on lattice (337K, PDF) Apr 16, 14
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Abstract. The $N$-particle Schr\"odinger operator $H(K),$ $K\in (-\pi,\pi]^d,$ $K$ being the total quasi-momentum, with short-range pair potentials on lattice $\Z^d,$ $d\ge1,$ is considered. For fixed total quasi-momentum $K$, the structure of $H(K)$'s essential spectrum is described and the analogue of the Hunziker -- van Winter -- Zhislin (HVZ) theorem is proved.

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