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Geometric Quantization
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

We formulate a process of quantization of classical mechanics, from a symplecticperspective. The Dirac quantization axioms are stated, and a satisfactory prequantizationmap is constructed using a complex line bundle. Using polarization, it isdetermined which prequantum states and observables can be fully quantized. Themathematical concepts of symplectic geometry, fibre bundles, and distributions are exposedto the degree to which they occur in the quantization process. Quantizationsof a cotangent bundle and a sphere are described, using real and K¨ahler polarizations,respectively.

Place, publisher, year, edition, pages
2017. , 59 p.
Series
FYSAST, FYSKAND1068
Keyword [en]
Geometric Quantization, symplectic geometry, fibre bundle, quantum mechanics, quantization
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-325649OAI: oai:DiVA.org:uu-325649DiVA: diva2:1115516
Educational program
Bachelor Programme in Physics
Supervisors
Examiners
Available from: 2017-07-06 Created: 2017-06-27 Last updated: 2017-07-06Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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Language
  • de-DE
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  • Other locale
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Output format
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