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Wave funcitions for highly anisotropic homogeneous cosmologies

1995/06/01 by James E. Lidsey · 1 citation
Mathematics · Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Classical limit #Classical mechanics #Cosmology and Gravitation Theories #Homogeneous #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum mechanics #Quantum tunnelling #Statistical physics #Theoretical physics #Wave function #gr-qc

paper · pdf · doi:10.1016/0370-2693(95)00494-6

published as Phys.Lett. B352 (1995) 207-213 · 11 pages, latex

openalex publication_date 1995/06/01 · arxiv created 1995/06/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The canonical quantization of homogeneous cosmologies is considered in the high anisotropic limit. Exact wavefunctions are found in this limit when the momentum constraints are reduced at the classical level. Lorentzian solutions that represent tunnelling from classically forbidden regimes are identified. Solutions to the modified Wheeler-DeWitt equation are also found for the vacuum Bianchi IX model when a quantum reduction of the momentum constraints is considered.

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