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Geometric Quantization
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this project we introduce the general idea of geometric quantization and demonstratehow to apply the process on a few examples. We discuss how to construct a line bundleover the symplectic manifold with Dirac’s quantization conditions and how to determine if we are able to quantize a system with the help of Weil’s integrability condition. To reducethe prequantum line bundle we employ real polarization such that the system does notbreak Heisenberg’s uncertainty principle anymore. From the prequantum bundle and thepolarization we construct the sought after Hilbert space.

Place, publisher, year, edition, pages
2016. , 30 p.
Keyword [en]
Geometric quantization, quantization, symplectic geometry
National Category
Other Physics Topics
URN: urn:nbn:se:uu:diva-296618OAI: oai:DiVA.org:uu-296618DiVA: diva2:939033
Educational program
Bachelor Programme in Physics
Available from: 2016-06-27 Created: 2016-06-17 Last updated: 2016-06-27Bibliographically approved

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