February 7, 2022, 14:00 Sala di Rappresentanza Mathematics Department, University of Milan Via Cesare Saldini 50, Milano, Italy
SPEAKER: Ngoc Nhi Nguyen (U Paris Saclay)
Fermionic semiclassical L^p estimates
Spectral properties of Schrödinger operators are studied a lot in mathematical physics. They can give the description of trapped fermionic particles. Researches on the spatial concentration of semiclassical Schrödinger operators’ eigenfunctions are still carried out, whether in physics or in mathematics. There are very precise results in special cases like the harmonic oscillator. However, it is not always possible to obtain explicitly point wise information for more general potentials. We can measure the concentration by estimating these functions with L^p bounds.