Time-independent multichannel scattering theory for charged particles
Technical Report
·
OSTI ID:4362808
Rigorous derivations are given of two time-independent formulas for the multichannel scattering operator for nonrelativistic charged particle systems. The derivations are based on Dollard's timeectral integration. The formulas involve a complex power of the resolvent operator, in contrast to short-range formulas. Bilateral Laplace transforms are used to derive a generalized multichannel resolvent equation and to prove existence and uniqueness of the solution. The formulas are applied to recover the well known two-body Coulomb scattering amplitude. (auth)
- Research Organization:
- New Mexico Univ., Albuquerque (USA)
- NSA Number:
- NSA-29-013993
- OSTI ID:
- 4362808
- Report Number(s):
- SLA--73-7076
- Country of Publication:
- United States
- Language:
- English
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