On the classical-quantum correspondence for non-self-adjoint Hamiltonians given by degree-2 complex-valued polynomials

PDE Seminar
Tuesday, November 15, 2016 - 15:00
1 hour (actually 50 minutes)
Skiles 005
University of Nantes, France
Abstract: Abstract: Let p(x,xi) be a complex-valued polynomial of degree 2 on R^{2n}, and let P be the corresponding non-self-adjoint Weyl quantization. We will discuss some results on the relationship between the classical Hamilton flow exp(H_p) and the L^2 operator theory for the Schrödinger evolution exp(-iP), under a positivity condition of Melin and Sjöstrand.