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  1. A Minimal Framework for Non-Commutative Quantum Mechanics.D. J. Hurley & M. A. Vandyck - 2014 - Foundations of Physics 44 (11):1168-1187.
    Deformation quantisation is applied to ordinary Quantum Mechanics by introducing the star product in a configuration space combining a Riemannian structure with a Poisson one. A Hilbert space compatible with such a configuration space is designed. The dynamics is expressed by a Hermitian Hamiltonian containing a scalar potential and a one-form potential. As a simple illustration, it is shown how a particular type of non-commutativity of the star product is interpretable as generating the Zeeman effect of ordinary Quantum Mechanics.
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