Calculating resonance positions and widths using the Siegert approximation method

Details Calculating resonance positions and widths using the Siegert approximation method Calculating resonance positions and widths using the Siegert approximation method

2011-05-30

arxiv.org/abs/1105.5994v2

Eur. J. Phys. 32 (2011) 1199

Physics

Quantum Physics

15 pages, 1 figure, contains MATLAB source code; new version with additional illustrations

Scientific paper

10.1088/0143-0807/32/5/008

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 Schr\"odinger 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.

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