Accuracy on eigenvalues for a Schrodinger operator with a degenerate potential in the semi-classical limit

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dc.creatorMorame, Abderemane
dc.creatorTruc, Francoise
dc.date2006-06-09
dc.date.accessioned2026-07-07T12:13:23Z
dc.date.available2026-07-07T12:13:23Z
dc.descriptionWe consider a semi-classical Schrodinger operator 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 behaviour of low eigenvalues bounded by some power of the parameter h, by improving Born-Oppenheimer approximation.
dc.identifierhttps://arxiv.org/abs/math-ph/0606032
dc.identifierhttp://arxiv.org/abs/math-ph/0606032
dc.identifierCubo, a Mathematical Journal 9, 2 (2007) 1-15
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210831
dc.subjectMathematical Physics
dc.subject35P20
dc.titleAccuracy on eigenvalues for a Schrodinger operator with a degenerate potential in the semi-classical limit
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