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Effet tunnel entre puits dégénérés. (Tunnel effect between degenerate wells). (French) Zbl 0649.35073
This paper is about the discrete spectrum of the Schrödinger operator \(P=-h^ 2\Delta +v\) in the semiclassical limit. We assume that the potential V admits two degenerate point-wells, and we obtain upper and lower bounds for the splitting between the first two eigenvalues of P. Part of this is generalised for higher eigenvalues, and we also get an asymptotic equivalent of the splitting in the one dimensional case.
Reviewer: A.Martinez

MSC:
35P15 Estimates of eigenvalues in context of PDEs
35J10 Schrödinger operator, Schrödinger equation
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