• DOI:10.1088/0264-9381/24/8/011
• Corpus ID: 13953362

Approximating the physical inner product of Loop Quantum Cosmology

@article{Bahr2006ApproximatingTP,
  title={Approximating the physical inner product of Loop Quantum Cosmology},
  author={Benjamin Bahr and Thomas Thiemann},
  journal={Classical and Quantum Gravity},
  year={2006},
  volume={24},
  pages={2109-2138}
}

• B. Bahr, T. Thiemann
• Published 19 July 2006
• Physics
• Classical and Quantum Gravity

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.