会议论文详细信息
Quantum Fest 2016 International Conference on Quantum Phenomena, Quantum Control and Quantum Optics | |
A Power Series Representation for the Characteristic Equation of Gamow-Siegert Eigenstates | |
Barrera-Figueroa, V.^1 | |
Instituto Politécnico Nacional, Sección de Estudios de Posgrado e Investigación, UPIITA, Av. Inst. Politec. Nal. 2580, Barrio la Laguna Ticoman, Ciudad de México | |
C.P. 07340, Mexico^1 | |
关键词: Characteristic equation; Dinger equation; Energy parameters; Explicit representation; Numerical calculation; Polynomial equation; Power series; Quantum system; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/839/1/012004/pdf DOI : 10.1088/1742-6596/839/1/012004 |
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来源: IOP | |
【 摘 要 】
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.
【 预 览 】
Files | Size | Format | View |
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A Power Series Representation for the Characteristic Equation of Gamow-Siegert Eigenstates | 610KB | download |