The log derivative version of Kohn's variational principle is used as a setting for a new numerical approach to quantum scattering problems. In particular, a new radial basis set is devised which is both (a) ideally suited to the log derivative boundary value problem, and (b) directly amenable to a
A pointwise representation of the s-matrix Kohn variational principle for quantum scattering
โ Scribed by Andrew C. Peet; William H. Miller
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 625 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
A method is proposed for reducing the complexity of scattering calculations carried out using the Kohn variational principle. The technique is based upon the use of a pointwise representation for the L2 part of the basis set and eliminates the need to explicitly evaluate any integrals involving such functions. Application to potential and inelastic scattering test cases show the method to be of good accuracy.
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