Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line
Mathematical Physics
2008-11-26 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.0804.2541,
title = {Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line},
author = {Christopher J. Fewster and Hanno Sahlmann},
journal= {arXiv preprint arXiv:0804.2541},
year = {2008}
}
Comments
26 pages, 3 figures