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Solution of the relativistic asymptotic equations in electron-ion scattering
β Scribed by I.G. Young; P.H. Norrington
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 660 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0010-4655
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β¦ Synopsis
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 for calculation of the one-electron Dirac-Coulomb functions used in the second expansion using solutions of the non-relativistic Coulomb equation with complex arguments.
π SIMILAR VOLUMES
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
Is the program overlaid? No No. of magnetic tapes required: None What other peripherals are used? Card reader, Line printer No. of cards in combined program and test deck: 1202
The nonresonant scattering of an electron by a muon in the pulsed light field in the frame of the Born approximation in general relativistic case is investigated theoretically. The approximation when a pulsewidth is considerably greater than the characteristic time of the wave oscillation is conside
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,