Semiclassical asymptotics of the Bloch--Torrey operator in two dimensions

Frédéric Hérau, David Krejcirik, Nicolas Raymond

The Bloch--Torrey operator $-h^2\Delta +e^{i\alpha }{x}_1$ on a bounded smooth planar domain, subject to Dirichlet boundary conditions, is analyzed. Assuming $\alpha \in \left[0,\frac{3\pi }{5}\right)$ an…