A relativistic extension of the complex scaling method using oscillator basis functions |
| |
Authors: | Jian-You Guo Miao Yu Jing Wang Bao-Mei Yao Peng Jiao |
| |
Affiliation: | School of Physics and Material Science, Anhui University, Hefei 230039, PR China |
| |
Abstract: | We develop the complex scaling method within the relativistic framework by expanding the Dirac spinors in the complete set of eigensolutions of a harmonic oscillator potential, and present the theoretical formalism of describing the discrete bound and resonant states on the same footing. Based on a well established and frequently used model, we demonstrate the utility and applicability of the extended method and examine the stability of the results with respect to the variations of the parameters of the model. Satisfactory agreements are found for all the calculated results in comparison with some other calculations in references. Especially, the present calculation in the nonrelativistic limit gives a consistent result with that in the nonrelativistic calculation. |
| |
Keywords: | Resonant state Dirac equation Complex scaling method Harmonic oscillator |
本文献已被 ScienceDirect 等数据库收录! |