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Resonances over a potential well in an island

2020

In this paper we study the distribution of scattering resonances for a multidimensional semi-classical Schr\"odinger operator, associated to a potential well in an island at energies close to the maximal one that limits the separation of the well and the surrounding sea.

Condensed Matter::Quantum GasesDistribution (number theory)Condensed Matter::OtherScatteringGeneral MathematicsOperator (physics)FOS: Physical sciencesMathematical Physics (math-ph)Mathematics::Spectral TheoryCondensed Matter::Mesoscopic Systems and Quantum Hall Effectsymbols.namesakeMathematics - Analysis of PDEsQuantum mechanicssymbolsFOS: Mathematics35J10 35B34 35P20 47A55Schrödinger's catMathematical PhysicsMathematicsAnalysis of PDEs (math.AP)
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