Geometric quantization from a coherent state perspective David J. Rowe (rowe@physics.utoronto.ca)
Abstract The theory of coherent state representations is both a theory of induced representations and of quantization. The different perspectives lead to valuable insights and new ways of unifying and extending the two theories. The coherent state approach, and its vector coherent state generalization, have the merit that their physical content is transparent and highly practical. Indeed, they have been shown in numerous applications to be applicable to a wide range of symmetry problems in physics. In particular, in the language of geometric quantization, they are able to quantize interesting physical systems with intrinsic (gauge) degrees of freedom. |