Limitations of the method of complex basis functions

Journal Article · Fri Aug 01 04:00:00 EDT 1975 · Phys. Rev., A, v. 12, no. 2, pp. 486-492

DOI:https://doi.org/10.1103/PhysRevA.12.486· OSTI ID:4140750

Baumel, R T; Crocker, M C; Nuttall, J

The method of complex basis functions proposed by Rescigno and Reinhardt is applied to the calculation of the amplitude in a model problem which can be treated analytically. It is found for an important class of potentials, including some of infinite range and also the square well, that the method does not provide a converging sequence of approximations. However, in some cases, approximations of relatively low order might be close to the correct result. The method is also applied to S-wave e-H elastic scattering above the ionization threshold, and spurious ''convergence'' to the wrong result is found. A procedure which might overcome the difficulties of the method is proposed.

• Research Organization: Department of Physics, University of Western Ontario, London, Ontario, Canada
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-001857
• OSTI ID: 4140750
• Journal Information: Phys. Rev., A, v. 12, no. 2, pp. 486-492, Journal Name: Phys. Rev., A, v. 12, no. 2, pp. 486-492; ISSN PLRAA
• Country of Publication: United States
• Language: English

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