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.
Received: 08 March 2001
Revised: 04 October 2001
Accepted manuscript online:
(Ordinary and partial differential equations; boundary value problems)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19875084).
Cite this article:
Li Pei-Jin (黎培进), Bao Cheng-Guang (鲍诚光) A polynomial approximation for the scattering wavefunction of an arbitrary spherically symmetric potential 2002 Chinese Physics 11 105
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