Electron. J. Differential Equations, Vol. 2017 (2017), No. 70, pp. 1-13.

Lifetime of localized states for a generalized Schrodinger operator appearing in nuclear physics

Bernard Ducomet

Abstract:
We apply time-energy uncertainty inequalities introduced by Pfeifer and Frohlich [27] to estimate the lifetime of quasistationary mixed states for a variable coefficients Schrodinger operator, without using directly resonance theory.

Submitted January 30, 2016. Published March 14, 2017.
Math Subject Classifications: 35Q40, 35J10, 35P10
Key Words: Schrodinger; lifetime; uncertainty inequality.

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Bernard Ducomet
Bruyères le Châtel
CEA, DAM, DIF, 91297 Arpajon, France
email: bernard.ducomet@cea.fr

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