Essays about: "Geometric quantization"

Found 2 essays containing the words Geometric quantization.

1. 1. Geometric Quantization

   University essay from Uppsala universitet/Teoretisk fysik

   Author : William Hedlund; [2017]
   Keywords : Geometric Quantization; symplectic geometry; fibre bundle; quantum mechanics; quantization;

   Abstract : 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. READ MORE

3. 2. Geometric Quantization

   University essay from Uppsala universitet/Teoretisk fysik

   Author : Fredrik Gardell; [2016]
   Keywords : Geometric quantization; quantization; symplectic geometry;

   Abstract : 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. READ MORE