A relativistic extension of the complex scaling method using oscillator basis functions

作者：Guo Jian You^*; Yu Miao; Wang Jing; Yao Bao Mei; Jiao Peng

来源：Computer Physics Communications, 2010, 181(3): 550-556.

DOI：10.1016/j.cpc.2009.11.003

• Resonant state
• Dirac equation
• Complex scaling method
• Harmonic oscillator

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 oil 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 non relativistic calculation.

• 出版日期2010-3
• 单位安徽大学