Quantum Mechanics and Path Integrals

Abstract

Firstly, we introduce the concept of a Path Integral and see how to use it to formulate Quantum Mechanics. We see some classical examples and learn how to calculate Path Integrals for simple systems. We also show how Classical Mechanics arises from the Path Integral formulation of Quantum Mechanics in the classical limit. Then, we see the equivalence between Schrödinger’s formulation of Quantum Mechanics and the formulation in terms of Path Integrals. Lastly, we study the Aharonov-Bohm effect