Abstract
We explain rich geometric structures that appear in the quantisation of linear bosonic and fermionic systems. By contrasting with the quantisation of general curved phase spaces, we focus on results that shed light on one of the most basic problems in quantisation: the dependence of the quantum Hilbert space on auxiliary data such as the choice of polarisations that is necessary to define a quantum Hilbert space.
Information
Published: 1 January 2017
First available in Project Euclid: 14 January 2017
zbMATH: 1381.53163
MathSciNet: MR3616913
Digital Object Identifier: 10.7546/giq-18-2017-77-96
Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
