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A new formulation of quantum-classical hybrid dynamics is presented, which concerns the direct coupling of classical and quantum mechanical degrees of freedom - of interest for approximation schemes and for the foundations of quantum mechanics, in particular at the quantum-classical border. The present linear theory differs from the nonlinear ensemble theory of Hall and Reginatto, but shares with it to fulfill all consistency requirements discussed in the literature, while earlier attempts failed to do this. Our work is based on a representation of quantum mechanics in the framework of classical analytical mechanics, showing that notions of states in phase space, observables, Poisson brackets, and related canonical transformations can be naturally extended to quantum mechanics and generalized for quantum-classical hybrids (arXiv:1111.2276 and 1202.3448). Classically induced decoherence, backreaction, separable interactions, enlarged algebra of observables, (non)locality, and “free will” can be discussed here.

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Prof. Dr. Hans-Thomas Elze, Università di Pisa
Seminarraum Theoretische Physik
Contact: not specified