Evolution Operators for Linearly Polarized Two-Killing Cosmological Models

Abstract

We give a general procedure to obtain non perturbative evolution operators in closed form for quantized linearly polarized two Killing vector reductions of general relativity with a cosmological interpretation. We study the representation of these operators in Fock spaces and discuss in detail the conditions leading to unitary evolutions.

Accepted for publication in Physical Review D

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Cited by in corpus (9)

• Quantization of Midisuperspace Models
• The time-dependent quantum harmonic oscillator revisited: Applications to Quantum Field Theory
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• Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures
• Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields
• Dynamical scaling symmetry and asymptotic quantum correlations for time-dependent scalar fields
• Unitary evolution of free massless fields in de Sitter space-time
• Schrodinger quantization of linearly polarized Gowdy $S^1\times S^2$ and $S^3$ models coupled to massless scalar fields
• Quantum Einstein-Rosen waves: Coherent states and n-point functions