This module introduces the students to quantum mechanics from first principles. Simple quantum systems will be studied and the formalism of quantum theory introduced both in terms of wave functions (Schrödinger formulation) and matrices (Heisenberg’s formulation).
The Wave Function
The Schrödinger equation. Statistical interpretation. Probability. Normalization. Momentum. The Uncertainty Principle.
Time-independent Schrödinger Equation
Stationary states. The infinite square well. The harmonic oscillator. The free particle. The Dirac delta-function. The delta-function potential. The S-matrix.
Formalism
Hilbert spaces. Observables. Eigenfunctions of a Hermitian operator. Generalized statistical interpretation. The Uncertainty Principle. Dirac notation.
Quantum Mechanics in three dimensions
The Schrödinger equation in spherical coordinates. The Hydrogen atom. Angular Momentum. Spin.
Lectures supported by problem solving sessions
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 100 |