Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions

doi:10.1088/1009-1963/14/1/008

中国物理B ›› 2005, Vol. 14 ›› Issue (1): 37-41.doi: 10.1088/1009-1963/14/1/008

Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions

陈昌远, 孙东升, 陆法林

Department of Physics, Yancheng Teachers College, Yancheng,224002, China

收稿日期:2003-12-16 修回日期:2004-09-20 出版日期:2005-01-20 发布日期:2005-01-20
基金资助:
Project supported by the Natural Science Foundation of the Education Bureau of Jingsu Province, China (Grant No 02KJB140007)and the Special Foundation of Yancheng Teachers College,China.

Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions

Chen Chang-Yuan (陈昌远), Sun Dong-Sheng (孙东升), Lu Fa-Lin (陆法林)

Department of Physics, Yancheng Teachers College, Yancheng 224002, China

Received:2003-12-16 Revised:2004-09-20 Online:2005-01-20 Published:2005-01-20
Supported by:
Project supported by the Natural Science Foundation of the Education Bureau of Jingsu Province, China (Grant No 02KJB140007)and the Special Foundation of Yancheng Teachers College,China.

摘要/Abstract

摘要： In this paper, the analytical formulae of bound-continuous transition matrix　elements for Coulomb wavefunctions are obtained, and the recurrence relations of different power order transition matrix elements are also derived. The results may be useful in a great diversity of scattering problems for atoms or molecules.

关键词: Coulomb wavefunctions, bound-continuous transition matrix elements, analytical formulae, recurrence relations

Abstract: In this paper, the analytical formulae of bound-continuous transition matrix　elements for Coulomb wavefunctions are obtained, and the recurrence relations of different power order transition matrix elements are also derived. The results may be useful in a great diversity of scattering problems for atoms or molecules.

Key words: Coulomb wavefunctions, bound-continuous transition matrix elements, analytical formulae, recurrence relations

中图分类号:

0365

陈昌远, 孙东升, 陆法林. Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions[J]. 中国物理B, 2005, 14(1): 37-41.

Chen Chang-Yuan (陈昌远), Sun Dong-Sheng (孙东升), Lu Fa-Lin (陆法林). Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions[J]. Chinese Physics, 2005, 14(1): 37-41.

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Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions

Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions

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