On-shell T-matrices in Multiple Scattering

Details On-shell T-matrices in Multiple Scattering On-shell T-matrices in Multiple Scattering

1998-07-23

arxiv.org/abs/math-ph/9807023v1

Phys. Lett. A 235, 195-199 (1997)

Physics

Mathematical Physics

7 pages, REVTeX

Scientific paper

10.1016/S0375-9601(97)00663-4

The transition operator T for the scattering of a particle from N potentials V_j can be expanded into a series featuring the transition operators t_j associated with the individual potentials. For V_j(x) both absolutely and square integrable in x, we show, using an analytic continuation argument, that if T is on-shell, i.e. in < k|T(sigma^{2}+ i0)|k' >, |k|=|k'|=\sigma, then each t_j is also on-shell.

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