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arXiv · 0804.2541

Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line

Christopher J. Fewster·Hanno Sahlmann
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Abstract

We give a definition for the Wigner function for quantum mechanics on the Bohr compactification of the real line and prove a number of simple consequences of this definition. We then discuss how this formalism can be applied to loop quantum cosmology. As an example, we use the Wigner function to give a new quantization of an important building block of the Hamiltonian constraint.

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Christopher J. Fewster, Hanno Sahlmann. 2008-04-16. Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line. https://doi.org/10.1088/0264-9381%2F25%2F22%2F225015

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