Relational evolution of the degrees of freedom of generally covariant quantum theories

DOI10.1023/A:1002067601136zbMath1022.81052arXivgr-qc/0002023MaRDI QIDQ5932487

Merced Montesinos

Publication date: 10 June 2001

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0002023

zbMATH Keywords

\(\text{SL}(2,\mathbb{R})\) modelclassical and quantum dynamics of generally covariant theories with vanishing Hamiltonianconstraint structure of general relativitygeneralized Heisenberg pictureparametrized harmonic oscillator

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Quantization of the gravitational field (83C45) Geometry and quantization, symplectic methods (81S10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Constrained dynamics, Dirac's theory of constraints (70H45)

Related Items (7)

Glafka 2004: the decoherent histories approach to the quantization of cosmological models ⋮ Group averaging in the (p,q) oscillator representation of SL(2,R) ⋮ Synchronous coordinates and gauge-invariant observables in cosmological spacetimes ⋮ REFINED ALGEBRAIC QUANTIZATION WITH THE TRIANGULAR SUBGROUP OFSL(2, ℝ) ⋮ Spacetime coarse grainings and the problem of time in the decoherent histories approach to quantum theory ⋮ COVARIANT DESCRIPTION OF PARAMETRIZED NONRELATIVISTIC HAMILTONIAN SYSTEMS ⋮ Emergent discrete time and quantization: relativistic particle with extra-dimensions

Cites Work

• Coherent state quantization of constraint systems
• On Hamiltonian systems with first-class constraints
• Time and time functions in parametrized non-relativistic quantum mechanics

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