Positive energy quantization of linear dynamics
Volume 89 / 2010
Banach Center Publications 89 (2010), 75-104
MSC: 81T05.
DOI: 10.4064/bc89-0-4
Abstract
The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into three stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. Four kinds of systems are distinguished: neutral bosonic, neutral bosonic, charged bosonic and charged fermionic. The formalism that is described follows closely the usual constructions employed in quantum physics to introduce noninteracting quantum fields.
