0000000000373176

AUTHOR

Maher Zerzeri

showing 3 related works from this author

Semiclassical Gevrey operators and magnetic translations

2020

We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas of the time frequency analysis, we show that such operators are uniformly bounded on a natural scale of exponentially weighted spaces of holomorphic functions, provided that the Gevrey index is $\geq 2$.

Mathematics::Complex VariablesMathematics - Complex VariablesMathematics::Analysis of PDEsStatistical and Nonlinear Physics32W25 35S05 47G30Mathematics::Spectral TheoryFunctional Analysis (math.FA)Mathematics - Functional AnalysisMathematics - Analysis of PDEsFOS: MathematicsGeometry and TopologyComplex Variables (math.CV)Mathematical PhysicsAnalysis of PDEs (math.AP)
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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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Semiclassical Gevrey operators on exponentially weighted spaces of holomorphic functions

2022

We provide a general overview of the recent works [“Semiclassical Gevrey operators in the complex domain”, Ann. Inst. Fourier (to appear), arXiv:2009.09125 (opens in new tab); J. Spectr. Theory 12, No. 1, 53–82 (2022; Zbl 1486.30104)] by the authors, devoted to continuity properties of semiclassical Gevrey pseudodifferential operators acting on a natural scale of exponentially weighted spaces of entire holomorphic functions.

[MATH] Mathematics [math]
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