Perturbation theory in covariant canonical quantization
arXiv:gr-qc/0410015 · doi:10.1103/PhysRevD.71.084001
Abstract
I investigate a new idea of perturbation theory in covariant canonical quantization. I present preliminary results for a toy model of a harmonic oscillator with a quartic perturbation, and show that this method reproduces the quantized spectrum of standard quantum theory. This result indicates that when the exact solutions to classical equations are not known, covariant canonical quantization via perturbation theory could be a viable approximation scheme for finding observables, and suggests a physically interesting way of extending the scope of covariant canonical quantization in quantum gravity
arXiv comment15 pages, no figures. Version 2. Introduction significantly restructured to put this work in porper context. Contents unchanged, few references added
References in corpus (12)
- Black Hole Entropy is Noether Charge
- Quantum Gravity: a Progress Report
- Numerical Investigation of Cosmological Singularities
- Gravitational Observables and Local Symmetries
- On Singularity Resolution in Quantum Gravity
- The Bianchi IX model in Loop Quantum Cosmology
- Quantum suppression of the generic chaotic behavior close to cosmological singularities
- Quantum Cosmology and Conformal Invariance
- Quantum Fields at Any Time
- Comparative Quantizations of (2+1)-Dimensional Gravity
- Semiclassical States in Quantum Cosmology: Bianchi I Coherent States
- Generating Gowdy cosmological models