On-shell T-matrices in Multiple Scattering

Alexander Moroz; Adriaan Tip

doi:10.1016/s0375-9601(97)00663-4

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arXiv · math-ph/9807023

On-shell T-matrices in Multiple Scattering

Alexander Moroz·Adriaan Tip

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Abstract

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'|=σ, then each t_j is also on-shell.

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Alexander Moroz, Adriaan Tip. 1998-07-23. On-shell T-matrices in Multiple Scattering. https://doi.org/10.1016/s0375-9601(97)00663-4

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