روزنامه با شماره پیاپی سال 2003

26

180

205

We show that the Schrödinger propagator can be expanded in terms of resonances at energy levels at which a barrier separates the interaction region from infinity. The expansions hold for all times with errors small in the semi-classical parameter. As a byproduct we obtain a result on the approximation of clusters of resonant states by clusters of eigenfunctions of a self-adjoint reference operator.

Journal of Functional Analysis

2003

Journal of Functional Analysis

709230