Phys. Rev. A 58, 128–134 (1998)Complete positivity of nonlinear evolution: A case studyReceived 28 January 1998; published in the issue dated July 1998 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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.58.128
DOI:
10.1103/PhysRevA.58.128
PACS:
03.65.Bz, 03.65.Db, 05.30.-d, 11.10.Lm
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