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arxiv: 0912.1027 · v1 · submitted 2009-12-05 · 🧮 math-ph · math.AP· math.MP

Eigenvalue variations and semiclassical concentration

classification 🧮 math-ph math.APmath.MP
keywords analyticbehaviourconcentrateconcentrationdependseigenbrancheseigenfunctionseigenvalue
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We show that the behaviour of analytic eigenbranches of a Schr\"odinger operator depends on the way eigenfunctions concentrate in the phase space.

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