Perturbation theory in covariant canonical quantization

Sayandeb Basu
Phys. Rev. D 71, 084001 – Published 1 April 2005

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

  • Received 14 January 2005

DOI:https://doi.org/10.1103/PhysRevD.71.084001

©2005 American Physical Society

Authors & Affiliations

Sayandeb Basu*

  • Department of Physics, University of California, Davis, California 95616 USA

  • *Email: sbasu@lifshitz.ucdavis.edu

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Issue

Vol. 71, Iss. 8 — 15 April 2005

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