Graduate course on
Canonical Commutation Relations and
their Applications in Quantum Theory
Lectures by Jan Derezinski, Warsaw University
While visiting MaPhySto, Jan Derezinski gave a series of lectures
(2 hours of lectures plus 2 hours of exercise sessions per week)
on Canonical Commutation Relations
and their Applications in Quantum Theory.
The course took place in March-May, 2000.
The topics treated include:
- Algebraic preliminaries (tensor products,...)
- Schrödinger representation and the Kohn-Nirenberg quantization
- Canonical commutation relations (CCR) and the Weyl quantization
- Coherent states
- Fock spaces and the Wick quantization
- Gaussian stochastic processes
- Symplectic and metaplectic group
- Inequivalent representations of CCR
- Semi-classical functional calculus
- Semi-classical propagation of observables
- Semi-classical geometric asymptotics (WKB method)
Basic knowledge of linear algebra, quantum mechanics and functional
In the week 2.-9. August 2000, MaPhySto and the EU TMR-network
Postdoctoral training program in partial differential equations and
applications in quantum mechanics (ERBFMRXCT960001)
will jointly organize a
Summer School on
Canonical Quantization Aspects
of Quantum Field Theory
to be held at Sandbjerg Manor, Sønderborg.
The present course provides the necessary
background for participating in the Summer School. More information
is available from www.maphysto.dk.
This document, http://www.maphysto.dk/oldpages/events/QTGrad2000/index.html
was last modified
January 19, 2004.
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