Space-Adiabatic Perturbation Theory

Gianluca Panati, Herbert Spohn, Stefan Teufel

We study approximate solutions to the Schrödinger equation $i\epsi\partialψ_t(x)/\partial t = H(x,-i\epsi\nabla_x) ψ_t(x)$ with the Hamiltonian given as the Weyl quantization of th…