Applied Mathematics Seminar | Giovanni Rastelli, Superintegrability and Quantization

MC 6460

Speaker

Dr. Giovanni Rastelli
Department of Mathematics | University of Turin 

Title

Superintegrability and Quantization

Abstract

Quantization is the procedure that transforms classical functions of canonical coordinates into quantum observables. Often, the quantization of the Hamilton's function only is considered, but for some  systems, integrable or even superintegrable, other constants of motion have to be considered. We review here different quantization procedures for some examples of superintegrable systems of classical mechanics and see how the constraint of preserving their superintegrability can be satisfied or not. The Born-Jordan, Weyl and Laplace-Beltrami quantizations are considered.