Denes Petz, "An Invitation to the Algebra of Canonical Commutation Relations: Mathematical Physics"
1990 | pages: 109 | ISBN: 9061863600 | PDF | 5 mb
This volume contains the written notes of a series of lectures delivered at the University of Leuven in the academic year 1988/89. The aim of the lectures was to give an introduction to the rigorous treatment of the canonical commutation relation and to demonstrate that the method of operator algebras in a suitable tool for this purpose. These notes cover quasifree states, the KMS-condition, central limit theorems and the equivalence ofFock states. Fundamentals of operator algebras and functional analysis are required to follow the presentation. Physical motivation and relevance are slightly commented.
The author is grateful to Mark Fannes and Andre Verbeure for their hospitality at the Institute for Theoretical Physics. Without their expertise on the subject the notes would not have been completed. It is a pleasure to thank Anita Raets for her skilful wordprocessing.
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