6533b85efe1ef96bd12c092a
RESEARCH PRODUCT
Resonances over a potential well in an island
Maher ZerzeriJohannes Sjöstrandsubject
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)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-04-05 |