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Perturbation theory in covariant canonical quantization

Journal Article · · Physical Review. D, Particles Fields
 [1]
  1. Department of Physics, University of California, Davis, California 95616 (United States)
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.
OSTI ID:
20709072
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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