A Power Series Representation for the Characteristic Equation of Gamow-Siegert Eigenstates
Abstract
In this work we consider a quantum system described by a stationary Schrödinger equation and obtain an explicit representation for the characteristic equation of its Gamow-Siegert eigenstates in the form of a power series of the energy parameter. This representation is valid for both analytical or numerical calculations. We show that determining resonances reduces to calculating the roots of a polynomial equation. The effectiveness of this approach is demonstrated through several numerical examples.
- Publication:
-
Journal of Physics Conference Series
- Pub Date:
- May 2017
- DOI:
- 10.1088/1742-6596/839/1/012004
- Bibcode:
- 2017JPhCS.839a2004B