Carlos Barceló, Raúl Carballo-Rubio, Luis J. Garay, Ricardo Gómez-Escalante
We reappraise some of the hybrid classical-quantum models proposed in the literature with the view in retrieving some of their common characteristics. In particular, first, we analyze in detail Peres-Terno argument regarding the inconsistency of hybrid quantizations of the Koopman-von Neumann type. We show that to accept such hybrid formalism entails the necessity of dealing with additional degrees of freedom beyond those in the straight complete quantization of the system. Secondly, we recover a similar enlargement of degrees of freedom in the so-called statistical hybrid models. Finally, we use Wigner's quantization of a simple model to point out that in hybrid system things are never purely classical or quantum. A degree of quantumness (classicality) is being exchanged between the different sectors of the theory.
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http://arxiv.org/abs/1206.7036
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