Mechanics to Manifolds III. Quantum Mechanics
نویسنده
چکیده
This is the third seminar in our mini series detailing how Physics feeds into Geometry. In the first seminar I gave an introduction to Mechanics from a Mathematician’s point of view. In the second, Paul Cooper showed how some specific problems in Classical Mechanics give rise to problems in geometry. In this talk, I intend to do the same for Quantum Mechanics. What I would like to do is concentrate on two particular problems which I know something about. These are the electron and the construction of path integration. I shall remind you of the basics of Quantum Mechanics and then show how considering the electron and similar particles leads to the necessity of supermanifolds. Then I shall introduce the path integral formulation of Quantum Mechanics, much beloved of Feynman.
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