TY - JOUR
T1 - A Power Series Representation for the Characteristic Equation of Gamow-Siegert Eigenstates
AU - Barrera-Figueroa, V.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2017/5/26
Y1 - 2017/5/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85020393149&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/839/1/012004
DO - 10.1088/1742-6596/839/1/012004
M3 - Artículo de la conferencia
AN - SCOPUS:85020393149
SN - 1742-6588
VL - 839
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012004
T2 - Quantum Fest 2016 International Conference on Quantum Phenomena, Quantum Control and Quantum Optics
Y2 - 17 October 2016 through 21 October 2016
ER -