# Positive energy quantization of linear dynamics

Jan Dereziński; Christian Gérard

Banach Center Publications (2010)

- Volume: 89, Issue: 1, page 75-104
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topJan 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.