An example in potential scattering illustrating the breakdown of asymptotic completeness |
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| Authors: | D. B. Pearson |
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| Affiliation: | 1. Department of Theoretical Physics, University of Geneva, Geneva, Switzerland
2. Department of Applied Mathematics, University of Hull, Cottingham Road, HU6 7RX, Hull, England
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| Abstract: | An example is given of a local spherically symmetric short range potential, such that the wave operators for scattering of a single particle by the potential are not complete. States exist which are asymptotically free att=?∞, but having a non zero probability of absorption into the origin att=+∞. |
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