Approximating the physical inner product of loop quantum cosmology

Journal article


Publication Details

Author(s): Bahr B, Thiemann T
Journal: Classical and Quantum Gravity
Publisher: IOP PUBLISHING LTD
Publication year: 2007
Volume: 24
Journal issue: 8
Pages range: 2109-2138
ISSN: 0264-9381


Abstract


In this paper, we investigate the possibility of approximating the physical inner product of constrained quantum theories. In particular, we calculate the physical inner product of a simple cosmological model in two ways: firstly, we compute it analytically via a trick; secondly, we use the complexifier coherent states to approximate the physical inner product defined by the master constraint of the system. We find that the approximation is able to recover the analytic solution of the problem, which consolidates hopes that coherent states will help to approximate solutions of more complicated theories, like loop quantum gravity.



FAU Authors / FAU Editors

Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik


How to cite

APA:
Bahr, B., & Thiemann, T. (2007). Approximating the physical inner product of loop quantum cosmology. Classical and Quantum Gravity, 24(8), 2109-2138. https://dx.doi.org/10.1088/0264-9381/24/8/011

MLA:
Bahr, Benjamin, and Thomas Thiemann. "Approximating the physical inner product of loop quantum cosmology." Classical and Quantum Gravity 24.8 (2007): 2109-2138.

BibTeX: 

Last updated on 2018-08-08 at 10:53