在BSCR（B-Spline based Complex Rotation）方法中θ和β值之影響的調查

An Investigation of the Influence of Ɵ and β Values in BSCR (B-Spline Based Complex Rotation) Method

10.29688/MHJ.201202.0003

陳昭宏(Jau-Hong Chen)

BSCR方法 ； BSCR method

明新學報

38卷1期（2012 / 02 / 01）

27 - 40

繁體中文

本篇論文的目的是想了解BSCR方法中複數座標旋轉的角度θ和β參數值對共振態的影響。經過詳細計算之後發現：在BSCR方法中的θ可使用的範圍約為θ=0.20－0.60之間，當我們在這個區間選定一個θ值之後，可以找到一個對應的最佳β值。而計算共振態時，若能以這組θ和β值代入計算，則共振態能量和寬度大小幾乎一致。因此，BSCR計算是相當穩定的方法。

The purpose of this paper is to check the effects of angle Ɵ and β values for the resonance energies in BSCR method. After detailed calculations, we find the range which can be used for Ɵ is from 0.20 to 0.60. Here we can select any Ɵ value from this region and find the optimized β value corresponding to it. If we can use these Ɵ and β values to calculate the spectrum, all data should have the same value. So the BSCR method is a quite stable method.

1. Benec''h, S.,Bachau, H.(2004).J. Phys. B: At. Mol. Opt. Phys.,37,3521-3534.
2. Brown, C. M.,Tilford, S. C.,Ginter, M. L.(1973).J. Opt. Soc. Am.,63,1454-62.
3. Chang, T. N.(1993).B-spline based configuration-interaction approach for photoionization of two electron and divalent atoms, in Many-body Theory of Atomic Structure and Photoionization.Singapore:World Scientific.
4. Chang, T. N.,Fang, T. K.(2004).Radiation Physics and Chemistry,70,173-190.
5. Chen, J. H.(2007).Journal of Chin-Min College,13,35-46.
6. Chen, J. H.(2007).John's University.Journal of St.,24,205-211.
7. Chen, J. H.,Fang, T. K.,Chang, T. N.(2006).2006 Annual Meeting of the Chinese Physical Society.Physics Bimonthly,28(1),335.
8. Fang, T. K.,Chang, T. N.(2007).2007 Annual Meeting of the Chinese Physical Society.Physics Bimonthly,29(1),401.
9. Fang, T. K.,Chang, T. N.(2007).Phys. Rev.,A76,12721.
10. Kincaid, David(2002).Numerical Analysis: Mathematics of Scientific Computing.Pacific Grove, CA, USA:
11. Nurnberger, Gunther(1989).Approximation by Splines functions.Berlin:Springer-Verlag.
12. Rescigno, T. N.,McCurdy, C. W.(1985).Phys. Rev.,A 31,624.