计算物理 ›› 1995, Vol. 12 ›› Issue (2): 185-190.
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沈智军, 陈国新, 方泉玉
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Shen Zhijun, Chen Guoxin, Fang Quanyu
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摘要： 在天体物理与等离子体有关的大量原子过程中,需要精确计算大量含剧烈振荡波函数的积分.直接数值积分既笨拙又不能保证所需精度。为此,对不同波数的情形,采用Belling渐近展开法,提高了其中位相的精度;对相同波数的情形,则给出了J(n,X)的解析表达式。计算模拟结果表明有足够高的精度.
关键词: 波函数, 积分, 剧烈振荡
Abstract: In electron-atom (or ion) collisions, it is unadvoidable to compute a large number of integrals with seriously oscillatory wavefunctions. Since direct numerical integration are very exhausted and often may fail to reach the required accuracy, analytical methods are necessary. In this paper an improved method is presented for calculating integrals with seriously osillatory in tegrands. The accuracy of phase calculation is improved for the case of wavenumber being different. The analytical expressions of integrals are given for the case of wavenumber being equal. The accury of simulation results are very satisfactory.
Key words: wavefunctions, integrals, seriously oscillatory
中图分类号:
O562.4
沈智军, 陈国新, 方泉玉. 含剧烈振荡波函数积分J(n,X)的研究(I)[J]. 计算物理, 1995, 12(2): 185-190.
Shen Zhijun, Chen Guoxin, Fang Quanyu. ON RESEARCHING OF THE INTEGRALS J(n,X) WITH SERIOUSLY OSCILLATORY WAVEFUNCTIONS IN ATOMIC PHYSICS (I)[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 12(2): 185-190.
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http://www.cjcp.org.cn/CN/Y1995/V12/I2/185
