Project III 2026-27

Relativistic Quantum Mechanics

Arthur Lipstein

Description

Quantum mechanics and special relativity are two pillars of modern physics. In this project, students will learn about various challenges that arise when combining relativity and quantum mechanics and how they are resolved by quantum field theory.

Suggested Pre-requisites

By the end of the group project, students will have learned about:

  • the Klein-Gordon equation
  • the Dirac equation
  • second quantisation

    • Mode of Operation and Evidence of Learning for the Group Project

    The project will revolve around learning through reading with focus on the underlying theory and the development of conceptual understanding. Students will demonstrate their understanding by solving relevant problems, exploring examples and theoretical applications of the material, and clearly communicating it in both written and oral formats.

    Individual project

    The individual project will build on the knowledge gained in the group project and will explore additional advanced topics. Potential directions include:

  • the spin-statistics theorem
  • the CPT theorem
  • the Casimir effect
  • quantum electrodynamics
  • the Unruh effect

    • Mode of Operation and Evidence of Learning for the Individual Project

    The project will revolve around learning through reading with focus on the underlying theory and the development of conceptual understanding. Students will demonstrate their understanding by solving relevant problems, exploring examples and theoretical applications of the material, and clearly communicating it in both written and oral formats.

    Suggested Pre-requisites

    Mathematical Physics II

    Special Relativity & Electromagnetism II

    Suggested Co-requisites

    Quantum Mechanics III

    Resources

  • "Modern Quantum Mechanics" by Sakurai
  • Srednicki's book on Quantum Field Theory
  • Tong's lecture notes on Quantum Field Theory