2012/01/17 by Vahagn Nersesyan, Nersesyan, Vahagn, Hayk Nersisyan +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Quantum chaos and dynamical systems #math.AP
paper · pdf · doi:10.48550/arxiv.1201.3445
arxiv created 2012/01/17 · openalex publication_date 2012/01/17 · arxiv updated 2012/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the multidimensional Schrödinger equation is exactly controllable in infinite time near any point which is a finite linear combination of eigenfunctions of the Schrödinger operator. We prove that, generically with respect to the potential, the linearized system is controllable in infinite time. Applying the inverse mapping theorem, we prove the controllability of the nonlinear system.