Using pseudo-arclength continuation to trace the resonances of the Schrödinger equation

Quantum bound states and resonances can be studied via the poles of the S-matrix. Using numerical continuation methods and bifurcation theory, we develop an efficient method to trace the parameter dependence of these poles. Using pseudo-arclength continuation, we minimize the numerical complexity of our algorithm. We have applied our method on a model problem.

Jaar van publicatie:2009