Observability for Schrödinger equations with quadratic Hamiltonians

• Published in: arXiv.org
• Main Author: Waters, Alden
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 30.05.2022
• Subjects: Harmonic oscillators; Mathematical analysis; Schrodinger equation; Time dependence; Wave packets

We consider time dependent harmonic oscillators and construct a parametrix to the corresponding Schr\"odinger equation using Gaussian wavepackets. This parametrix of Gaussian wavepackets is precise and tractable. Using this parametrix we prove \(L^2\) and \(L^2-L^{\infty}\) observability estima...