Asymptotic evolution of certain observables and completeness in Coulomb scattering. I

Sinha, Kalyan B. ; Muthuramalingam, P. l. (1984) Asymptotic evolution of certain observables and completeness in Coulomb scattering. I Journal of Functional Analysis, 55 (3). pp. 323-343. ISSN 0022-1236

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0022-1236(84)90003-X

Abstract

The behavior of the dilation operator in the distant past and future is obtained when it evolves under a unitary group, whose generator is a Schrodinger operator. The total and free evolutions are then compared by their actions on the dilation and position observable. This result is employed to give a simple proof of completeness for scattering by Coulomb-like potentials.

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