A+ CATEGORY SCIENTIFIC UNIT

Positive energy quantization of linear dynamics

Volume 89 / 2010

Jan Dereziński, Christian Gérard 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.

Authors

  • Jan DerezińskiDepartment of Mathematical Methods in Physics
    Warsaw University
    Hoża 74
    00-682 Warszawa, Poland
    e-mail
  • Christian GérardDépartement de Mathématiques
    Université de Paris Sud
    91405 Orsay Cedex, France
    e-mail

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