Homogeneous loop quantum cosmology

By M. Bojowald. 2003

167 citations recorded by the source corpus.

Loop quantum cosmological methods are extended to homogeneous models in a diagonalized form. It is shown that the diagonalization leads to a simplification of the volume operator such that its spectrum can be determined explicitly. This allows the calculation of composite operators, most importantly the Hamiltonian constraint. As an application the dynamics of the Bianchi I model is studied and it is shown that its loop quantization is free of singularities.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dc3c08f4094aa16b7c0afed51da1316e604fb7d4

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Loop quantum cosmology of Bianchi I models (2009, methodology): “Dynamics was obtained by starting with the Hamiltonian constraint in the μo scheme from [35] and then substituting μ̄i of (3.”
Loop quantum cosmology of k = 1 FRW models (2006, methodology): “In particular using numerical evolutions of equations used in the early LQC works [5], Green and Unruh [6] had concluded that there may be a key difficulty: the LQC evolution appeared not to reproduce the recollapse predicted by general relativity.”
Mathematical structure of loop quantum cosmology (2003, background): “Furthermore, these features are robust [6,7].”
Loop Quantum Cosmology (2005, background): “One has a partial difference equation for a wave function on a minisuperspace with boundary, and initial as well as boundary conditions are required [48].”
Loop quantum cosmology: a status report (2011, unknown): “[38–44]).”
Introduction to Loop Quantum Cosmology (2011, methodology): “The first attempts of constructing a kinematical Hilbert space and the Hamiltonian constraint operator within a polymeric formalism were done in [40].”