Positive energy quantization of linear dynamics

• Autorzy: Jan Dereziński , Christian Gérard
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 81T05: Axiomatic quantum field theory; operator algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 89
• Numer: 1
• Strony: 75-104

Daty

wydano

2010

Twórcy

autor

Jan Dereziński

• Department of Mathematical Methods in Physics, Warsaw University, Hoża 74, 00-682 Warszawa, Poland

autor

Christian Gérard

• Département de Mathématiques, Université de Paris Sud, 91405 Orsay Cedex, France

Identyfikatory

DOI

10.4064/bc89-0-4