中国物理B ›› 2002, Vol. 11 ›› Issue (2): 105-108.doi: 10.1088/1009-1963/11/2/301

• GENERAL •    下一篇

A polynomial approximation for the scattering wavefunction of an arbitrary spherically symmetric potential

黎培进, 鲍诚光   

  1. Department of Physics, Zhongshan University, Guangzhou 510275, China
  • 收稿日期:2001-03-08 修回日期:2001-10-04 出版日期:2005-06-13 发布日期:2005-06-13
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19875084).

A polynomial approximation for the scattering wavefunction of an arbitrary spherically symmetric potential

Li Pei-Jin (黎培进), Bao Cheng-Guang (鲍诚光)   

  1. Department of Physics, Zhongshan University, Guangzhou 510275, China
  • Received:2001-03-08 Revised:2001-10-04 Online:2005-06-13 Published:2005-06-13
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19875084).

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摘要： A new variational approach is proposed to calculate scattering phase shifts. In this approach, the variational parameter is contained not explicitly in the trial function but in the boundary conditions that the scattering wavefunction should satisfy. It was found that a high accuracy could be reached. Furthermore, the scattering wavefunction appears as a polynomial of finite orders in the interior region. This expression is convenient for applications.

Abstract: A new variational approach is proposed to calculate scattering phase shifts. In this approach, the variational parameter is contained not explicitly in the trial function but in the boundary conditions that the scattering wavefunction should satisfy. It was found that a high accuracy could be reached. Furthermore, the scattering wavefunction appears as a polynomial of finite orders in the interior region. This expression is convenient for applications.

Key words: scattering phase shift, variational approach

中图分类号:  (Algebraic structures and number theory)

  • 02.10.De
02.30.Mv (Approximations and expansions) 02.30.Xx (Calculus of variations) 02.60.Lj (Ordinary and partial differential equations; boundary value problems)