14-25 Z.Muminov, Sh.Kholmatov

The HVZ theorem for $N$-particle Schr\"odinger operators on lattice (337K, PDF) Apr 16, 14

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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.

Files: 14-25.src( 14-25.keywords , MuminovKholmatov_HVZtheorem.pdf.mm )