Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit
- Abderemane Morame morame@math.univ-nantes.fr
- Françoise Truc francoise.truc@ujf-grenoble.fr
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Abstract
We consider a semi-classical Schrödinger operator -h2Δ + V with a degenerate potential V(x, y) = f(x)g(y). g is assumed to be a homogeneous positive function of m variables and f is a strictly positive function of n variables, with a strict minimum. We give sharp asymptotic behavior of low eigenvalues bounded by some power of the parameter h, by improving Born-Oppenheimer approximation.
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Published
2007-08-01
How to Cite
[1]
A. Morame and F. Truc, “Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit”, CUBO, vol. 9, no. 2, pp. 1–14, Aug. 2007.
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