Phase space quantization and loop quantum cosmology: A Wigner function for the Bohr-compactified real line

Sahlmann H, Fewster C (2008)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2008

Journal

Publisher: Institute of Physics: Hybrid Open Access

Book Volume: 25

Article Number: 225015

Journal Issue: 22

DOI: 10.1088/0264-9381/25/22/225015

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. © 2008 IOP Publishing Ltd.

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APA:

Sahlmann, H., & Fewster, C. (2008). Phase space quantization and loop quantum cosmology: A Wigner function for the Bohr-compactified real line. Classical and Quantum Gravity, 25(22). https://dx.doi.org/10.1088/0264-9381/25/22/225015

MLA:

Sahlmann, Hanno, and Christopher Fewster. "Phase space quantization and loop quantum cosmology: A Wigner function for the Bohr-compactified real line." Classical and Quantum Gravity 25.22 (2008).

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