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Article

Spectrum of a model three-particle Schrödinger operator

Yu. Kh. ÈshkabilovFaculty of Mechanics and Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
Theoretical and Mathematical Physicsjournal2016en
ABI

Abstract

We study the spectrum of a model three-particle Schrödinger operator H(ε), ε > 0. We prove that for a sufficiently small ε > 0, this operator has no bound states and no two-particle branches of the spectrum. We also obtain an estimate for the small parameter ε.

Topics

Spectral Theory in Mathematical PhysicsNumerical methods in inverse problemsAdvanced Mathematical Modeling in Engineering

Identifiers

DOI
10.1134/s0040577916020100

Citations and references

Cited by 014 references
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