Modul:   MAT675  PDE and Mathematical Physics

[Video] Modes, quasi-modes and the perturbed harmonic oscillator

Vortrag von Prof. Dr. Fabricio Macià

Datum: 23.01.20  Zeit: 18.10 - 19.10  Raum: Y27H35/36

Slides

Abstract: I will present some recent result on concentration properties on phase-space for eigenstates of small perturbations of Quantum Completely Integrable Schrödinger equations, with particular emphasis on the semiclassical Quantum Harmonic Oscillator. The effect of the perturbation turns out to depend on the arithmetic properties of the frequencies of the oscillator. We will illustrate this type of effect by comparing the sets of semiclassical measures of sequences of eigenfunctions in the perturbed and unperturbed cases.