Positive energy quantization of linear dynamics

Jan Dereziński, and Christian Gérard. "Positive energy quantization of linear dynamics." Banach Center Publications 89.1 (2010): 75-104. <http://eudml.org/doc/282254>.

@article{JanDereziński2010,
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.},
author = {Jan Dereziński, Christian Gérard},
journal = {Banach Center Publications},
keywords = {canonical commutation relations; canonical anticommutation relations; Fock spaces; quantum field theory},
language = {eng},
number = {1},
pages = {75-104},
title = {Positive energy quantization of linear dynamics},
url = {http://eudml.org/doc/282254},
volume = {89},
year = {2010},
}

TY - JOUR
AU - Jan Dereziński
AU - Christian Gérard
TI - Positive energy quantization of linear dynamics
JO - Banach Center Publications
PY - 2010
VL - 89
IS - 1
SP - 75
EP - 104
AB - 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.
LA - eng
KW - canonical commutation relations; canonical anticommutation relations; Fock spaces; quantum field theory
UR - http://eudml.org/doc/282254
ER -