Introduction to Quantum Mechanics

Course Code :1001WETIKW
Study domain:Physics
Academic year:2019-2020
Semester:1st semester
Sequentiality:Credit for Mathematical methods for physics I, II & III and Introduction to analytical mechanics.
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Francois Peeters

3. Course contents *

A. Introduction
- The birth of quantum mechanics (radiation law, photo-electric effect, ...)
- Particle-wave duality
- Interpretation of the wavefunction
- Schrodinger equation
- Position and momentum

B. Wave mechanics: one dimensional problems
- The stationary Schrodinger equation
- Potential well: bound states
- Scattering in one dimension: tunnel effect
- Resonances

C. Axiomas of quantum mechanics
- Hilbert space
- Operators and the measuring process in quantum mechanics

D. The harmonic oscillator (with inclusion of the technique of ladder operators)

E. Dirac notation

F. The hydrogen atom
- Solution for the angular part
- Solution of the radial part
- Bohr theory
- Spectrum, degeneracy, physical interpretation of the quantum numbers

G. Approximation methods
- First and second order non-degenerate perturbation theory
- Variational principle

H. Spin
- Addition of spin
- Addition of angular momenta (Clebsch-Gordon coefficients)

I. Identical particles
- Fermions and Bosons
- Exchange