Quantum Mechanics and Relativity

Overview

Relativity:
Einstein's postulates. The Lorentz transformation and consequences. 4-vector formulation. Relativistic particle dynamics. Relativistic wave dynamics. Relativistic electrodynamics.

Quantum Mechanics:
The Lagrangian and Hamiltonian formalism. Wavefunctions and operators. The Schrödinger equation. The harmonic oscillator. Three-dimensional systems: angular momentum. Three-dimensional system: spherical harmonics. Composition of angular momenta and spin. The Hydrogen atom. Special distributions: Bose-Einstein and Fermi-Dirac statistics. Bell inequality and quantum entanglement. Perturbation theory: time-independent perturbations. Perturbation theory: periodic perturbations

Learning Objectives

Students will be able to:

State the fundamental postulates of relativity and quantum mechanics, develop the mathematical formalism of these subjects.

Solve specific physical problems using the formalism of relativity and quantum mechanics.

Skills

Problem solving. Searching for and evaluating information from a range of sources. Written communication of scientific concepts in a clear and concise manner. Working independently and meeting deadlines.

Assessment

NONE