L.D. Faddeev
Steklov Mathematical Institute, Fontanka 27
RU-191911 St. Petersburg, Russia
Abstract:
The term "quantization" has several different meanings. The most general
interpretation is connected with the construction of non commutative analogue
of classical phase space. In more narrow sence it means a construction
of a concrete quantum dynamical model, when its classical analogue is given.
In my lectures I shall deal with the latter case. I plan to discuss the
questions, which appear in quantization of field-theoretical models on
the discretized space time. Here the usual Heisenberg-type canonical variables
give way to the Weyl-type ones. We shall see, how this influences the structure
of algebra of observables and construction of concrete relevant operators,
such as evolution operator. As an example, the discretized version of the
Liouville model will be considered.