Iterative solutions of the Lippmann-Schwinger–type equations
- 1 October 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (4) , 2697-2705
- https://doi.org/10.1103/physreva.34.2697
Abstract
The remainder of the Born series 〈u‖v〉+〈u‖K‖v〉+...+〈u‖‖v〉 + is given an analytic continued-fractional form. The resulting formula is tested on a few schematic examples and recommended as a combined perturbative and algebraic method applicable to various scattering problems.
Keywords
This publication has 16 references indexed in Scilit:
- Two continued-fractional treatments of multichannel scatteringPhysical Review A, 1984
- Method of continued fractions with application to atomic physicsPhysical Review A, 1983
- Comment on the Green's function for the anharmonic oscillatorsPhysical Review D, 1982
- Solutions of the generalized Langevin equation by a method of recurrence relationsPhysical Review B, 1982
- Scattering Theory of Waves and ParticlesPublished by Springer Nature ,1982
- Linear-algebraic approach to electron-molecule collisions: General formulationPhysical Review A, 1981
- Doorway state approach to optical potential scatteringAnnals of Physics, 1980
- Generalized method of a resolvent operator expansion. IIJournal of Mathematical Physics, 1979
- Electronic structure from non-hermitian representations of the HamiltonianJournal of Physics C: Solid State Physics, 1975
- The inverse of a linear operatorJournal of Physics A: Mathematical, Nuclear and General, 1974