Variational iterative method for scattering problems
β Scribed by Sadhan K. Adhikari
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 372 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
A parameter-free variational iterative method is proposed for scattering problems. The present method yields results that are far better, in convergence, stability and precision, than any other momentum space method. Accurate result is obtained for the atomic exponential (Yukawa) potential with an estimated error of less than 1 in 10 ~5 (101Β°) after some 13 (10) iterations.
π SIMILAR VOLUMES
Figure 3 Comparison of the normalized phase velocity computed w x by using the new expression of and the expression in 1 with r, eff, p the measurements Figure 4 Comparison of the interaction impedance computed by w x using the new expression of and the expression in 1 with the r, eff, p measurement
A direct methodfor solving variationaIproblems using Taylor series is discussed. Properties of' Taylor series are brieJy presented and an operational matrix is utilized to solve the variational problems by means of a direct method. An illustrative example is given.
An iterative Neumann series method, employing a real auxiliary scattering integral equation, is used to calculate scattering lengths and phase shifts for the atomic Yukawa and exponential potentials. For these potentials the original Neumann series diverges. The present iterative method yields resul