Sharp estimates for the Schrödinger equation associated to the twisted Laplacian

Abstract

In this note we obtain some Strichartz estimates for the Schrödinger equation associated to the twisted Laplacian on ${\mathbb{C}}^n\cong {\mathbb{R}}^{2n}$. The initial data will be considered in suitable Sobolev spaces associated to the twisted Laplacian.

10 pages