2002/08/02 by William Gordon Ritter, Ritter, William Gordon
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Advanced Topics in Algebra #Microtubule and mitosis dynamics #Ophthalmology and Eye Disorders #math-ph #math.MP #math.SG #msc:53D50
paper · pdf · doi:10.48550/arxiv.math-ph/0208008
10 pages
arxiv created 2002/09/04 · arxiv updated 2009/11/30
We review the definition of geometric quantization, which begins with defining a mathematical framework for the algebra of observables that holds equally well for classical and quantum mechanics. We then discuss prequantization, and go into details of the general method of quantization with respect to a polarization using densities and half-forms. This has applications to the theory of unitary group representations and coadjoint orbits.