Positive energy quantization of linear dynamics
Mathematical Physics
2009-07-01 v1 math.MP
Abstract
The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into 3 stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. 4 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 non-interacting quantum fields.
Cite
@article{arxiv.0906.5479,
title = {Positive energy quantization of linear dynamics},
author = {Jan Derezinski and Christian Gérard},
journal= {arXiv preprint arXiv:0906.5479},
year = {2009}
}