Abstract/Details

Perturbation theory in covariant canonical quantization


2005 2005

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Abstract (summary)

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.

Indexing (details)


Subject
Particle physics
Classification
0798: Particle physics
Identifier / keyword
Pure sciences; Background independence; Covariant canonical quantization; Perturbation theory; Quantum gravity
Title
Perturbation theory in covariant canonical quantization
Author
Basu, Sayandeb
Number of pages
59
Publication year
2005
Degree date
2005
School code
0029
Source
DAI-B 66/07, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780542235658, 054223565X
Advisor
Carlip, Steven
University/institution
University of California, Davis
University location
United States -- California
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3182463
ProQuest document ID
305032256
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305032256
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