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João Esteves, CAMGSD

Geometric Quantization: a beginner's perspective

Geometric Quantization is an attempt to give a rigorous mathematical formulation for the process of quantization of some physical systems, like the ones studied in Quantum Mechanics. In this first talk we review some well known facts and techniques in this framework with emphasis on the quantization of the harmonic oscillator as an explicit example. We will present some classical results on this subject that follow a geometrical perspective, in contrast with the traditional approach of solving explicitly the Schrodinger equation.