In this talk we will review basics of geometric quantization. The definition and physical motivation for an infinite dimensional disc based on Hilbert-Schmidt ideal will be given. We will see that this space is the phase space of a dynamical system. We will present how we can apply geometric quantization to this phase space. In the remaining time we will extend these ideas to the supergeometry context, and discuss its physical meaning. We will present a suggestion for Hilbert-Schimdt type infinite dimensional super disc.
Created: 4/3/01 Updated: 4/3/01