Proceedings of the International Conference on Geometry, Integrability and Quantization

Symmetry, Phases and Quantisation

Siye Wu

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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.

Article information

Source
Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Guowu Meng and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2017), 77-96

Dates
First available in Project Euclid: 14 January 2017

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1484362816

Digital Object Identifier
doi:10.7546/giq-18-2017-77-96

Mathematical Reviews number (MathSciNet)
MR3616913

Zentralblatt MATH identifier
1381.53163

Citation

Wu, Siye. Symmetry, Phases and Quantisation. Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, 77--96, Avangard Prima, Sofia, Bulgaria, 2017. doi:10.7546/giq-18-2017-77-96. https://projecteuclid.org/euclid.pgiq/1484362816


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