Perturbation theory in covariant canonical quantization

Details Perturbation theory in covariant canonical quantization Perturbation theory in covariant canonical quantization

2004-10-04

arxiv.org/abs/gr-qc/0410015v2

Phys.Rev. D71 (2005) 084001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures. Version 2. Introduction significantly restructured to put this work in porper context. Contents unchange

Scientific paper

10.1103/PhysRevD.71.084001

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

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