Quantum Mechanics


Course information

Code: MAT1723HS/APM421HS
Instructor: Marco Gualtieri
Class schedule: W1-2 F2-4, synchronous and online (registered students will receive links through their UTOR email)
Evaluation: Evaluation will be through bi-weekly assignments


Selected class notes



The course will draw from a variety of sources, including the recommended texts listed below.

Main topics

The purpose of this course is to introduce the main phenomena of Quantum Mechanics and to introduce, in parallel, the mathematical structures and ideas which allow us to model and understand these phenomena.

We hope to cover most of the topics below:

  • Quantum states, their measurement and evolution
  • Amplitudes and probability
  • Hilbert Spaces and Unitary representations
  • Observables, operators and the uncertainty principle
  • Classical vs Quantum mechanics
  • Schrödinger equation
  • WKB method
  • Perturbation Theory and Feynman diagrams
  • Multi-particle systems and entanglement
  • Spin and Statistics; Fermions
  • Quantum information theory
  • Supersymmetry
  • Passing from QM to QFT