Yu. Kh. Èshkabilov
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 .
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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 .
Key concepts: Operator (biology), Spectrum (functional analysis), Displacement operator, Schrödinger's cat, Physics, Particle (ecology), Mathematical physics, Bound state