Complete positivity of nonlinear evolution: A case study
- 1 July 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 58 (1) , 128-134
- https://doi.org/10.1103/physreva.58.128
Abstract
Simple Hartree-type equations lead to dynamics of a subsystem that is not completely positive in the sense accepted in mathematical literature. In the linear case this would imply that negative probabilities have to appear for some system that contains the subsystem in question. In the nonlinear case this does not happen because the mathematical definition is physically unfitting as shown in a concrete example.Keywords
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