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Asymptotic solution of coupled equations for electron scattering
β Scribed by David W. Norcross
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 684 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0010-4655
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β¦ Synopsis
Is the program overlaid? No.
π SIMILAR VOLUMES
Two asymptotic expansions are suggested for the solution of the coupled equations for the radial channel wavefunctions arising from the treament of electron-ion scattering using the Dirac Hamiltonian. The recurrence relations obtained for the expansion coefficients are given. A method is suggested f
number of channels or the number of terms in the asymptotic References series is increased. Other limitations can arise from the Coulomb [1] PG. Burke and H.M. Schey, Phys. Rev. 126 (1962) ~47. function routines employed (these could easily be replaced). [2] P.G. Burke, D.D. McVicar and K. Smith,
The multi-channel variablc phase method has been gcneralized to the nelativistic case. The problem of solving a system of coupled radial Dirac equations without exchange has bccn reduced to the problem of direct outward integration of a non-linear differential equation satisfied by the reaction matr