Schrodinger quantization of linearly polarized Gowdy $S^1\times S^2$ and $S^3$ models coupled to massless scalar fields

Abstract

In this paper we will construct the Schrodinger representation for the linearly polarized Gowdy $S^1\times S^2$ and $S^3$ models coupled to massless scalar fields. Here the quantum states belong to a $L^2$-space for a suitable quantum configuration space endowed with a Gaussian measure, whose support is analyzed. This study completes the quantization of these systems previously performed in the Fock scheme, and provides a specially useful framework to address physically relevant questions.

arXiv comment18 pages. Final version to appear in Classical and Quantum Gravity

References in corpus (18)

• Quantum Gowdy $T^3$ model: A uniqueness result
• Uniqueness of the Fock quantization of the Gowdy $T^3$ model
• Quantum Gowdy $T^3$ model: A unitary description
• Canonical Quantization of the Gowdy Model
• On the Relation Between Fock and Schroedinger Representations for a Scalar Field
• Quantum Dynamics of the Polarized Gowdy Model
• Probing Quantum General Relativity Through Exactly Soluble Midi-Superspaces II: Polarized Gowdy Models
• Quantum Gowdy $T^3$ Model: Schrodinger Representation with Unitary Dynamics
• Feasibility of a Unitary Quantum Dynamics in the Gowdy $T^3$ Cosmological Model
• On Unitary Time Evolution in Gowdy $T^3$ Cosmologies
• Physical Properties of Quantum Field Theory Measures
• Quantum unitary evolution of linearly polarized S^1\times S^2 and S^3 Gowdy models coupled to massless scalar fields
• Uniqueness of the Fock representation of the Gowdy $S^1\times S^2$ and $S^3$ models
• On the Schroedinger Representation for a Scalar Field on Curved Spacetime
• Evolution Operators for Linearly Polarized Two-Killing Cosmological Models
• Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields
• Schrodinger representation for the polarized Gowdy model
• Note on Canonical Quantization and Unitary Equivalence in Field Theory

Cited by in corpus (2)

• Quantization of Midisuperspace Models
• The time-dependent quantum harmonic oscillator revisited: Applications to Quantum Field Theory