Calculating resonance positions and widths using the Siegert approximation method
arXiv:1105.5994 · doi:10.1088/0143-0807/32/5/008
Abstract
Here we present complex resonance states (or Siegert states), that describe the tunneling decay of a trapped quantum particle, from an intuitive point of view which naturally leads to the easily applicable Siegert approximation method that can be used for analytical and numerical calculations of complex resonances of both the linear and nonlinear Schrödinger equation. Our approach thus complements other treatments of the subject that mostly focus on methods based on continuation in the complex plane or on semiclassical approximations.
15 pages, 1 figure, contains MATLAB source code; new version with additional illustrations