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A new approach to quantization of cosmological models

2006/12/31 by Ł. A. Glinka, L. A. Glinka
Mathematics · Physics and Astronomy · #Algorithm #Ansatz #Black Holes and Theoretical Physics #Canonical quantization #Classical mechanics #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Fock space #Geometric quantization #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc

paper · pdf · doi:10.1134/s0202289309040057

published as Gravitation and Cosmology, V15, N4, pp. 317-322, 2009 · 12 pages, to appear in Gravitation and Cosmology

arxiv created 2009/06/17 · openalex publication_date 2009/10/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose new quantization of homogenous cosmological models. Four fundamental methods are applied to the cosmological model and efficiently joint. The Dirac method for constrained systems is used, then the Fock space is built, and second quantization is carried out. Finally, the diagonalization ansatz, which is a combination of the Bogoliubov transformation method and the Heisenberg equation of motion, is formulated. The temperature of a quantum cosmological model is introduced.

Citations