Time Independent Multichannel Scattering Theory for Charged Particles - INSPIRE

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Time Independent Multichannel Scattering Theory for Charged Particles

A.G. Gibson
(
- New Mexico U.
)
,
Colston Chandler
(
- New Mexico U.
)

Jan, 1974

50 pages

Published in:

J.Math.Phys. 15 (1974) 1366

DOI:

10.1063/1.1666819

Report number:

PRINT-74-0066 (NEW-MEXICO)

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Abstract: (AIP)

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 time‐dependent theory and use techniques of spectral 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.

References(18)

Figures(0)

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