Impediments to mixing classical and quantum dynamics

Details Impediments to mixing classical and quantum dynamics Impediments to mixing classical and quantum dynamics

1998-12-17

arxiv.org/abs/quant-ph/9812046v2

Phys.Rev. A60 (1999) 842-852

Physics

Quantum Physics

RevTex, 21 pages. Title slightly modified and summary section added

Scientific paper

10.1103/PhysRevA.60.842

The dynamics of systems composed of a classical sector plus a quantum sector is studied. We show that, even in the simplest cases, (i) the existence of a consistent canonical description for such mixed systems is incompatible with very basic requirements related to the time evolution of the two sectors when they are decoupled. (ii) The classical sector cannot inherit quantum fluctuations from the quantum sector. And, (iii) a coupling among the two sectors is incompatible with the requirement of physical positivity of the theory, i.e., there would be positive observables with a non positive expectation value.

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