Title of article
Semiclassical Analysis for Hamiltonianin the Born-Oppenheimer Approximation
Author/Authors
Abderrahmane, Senoussaoui Universite d’Oran - Faculte des Sciences Exactes Appliquees - Departement de Mathematiques, Algeria
From page
135
To page
144
Abstract
The purpose of this paper is to show that the operator H (h) = −h^2Δx −Δy+V (x, y), V is continuous (or V (element of) L^2 (Rnx × Rpy), and V (x, y)→(infinity)as llxll+llyll→(infinity) has purely discrete spectrum. We give an application to the harmonic oscillator.
Keywords
Discrete spectrum , harmonic oscillator , locally compact operator
Journal title
Matematika
Journal title
Matematika
Record number
2570189
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