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The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

✍ Scribed by M. E. Muminov

Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
483 KB
Volume
159
Category
Article
ISSN
0040-5779

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📜 SIMILAR VOLUMES

On the structure of the essential spectr
On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices
✍ Sergio Albeverio; Saidakhmat N. Lakaev; Zahriddin I. Muminov 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB

## Abstract A system of three quantum particles on the three‐dimensional lattice ℤ^3^ with arbitrary dispersion functions having not necessarily compact support and interacting via short‐range pair potentials is considered. The energy operators of the systems of the two‐and three‐particles on the l