The course provides a comprehensive introduction to Quantum Mechanics (QM), starting with the foundations of QM:
Wave function, amplitude, and probability density.
Schrödinger equation and its mathematical tools.
Topics covered include:
The quantum harmonic oscillator (with an emphasis on the algebraic solution).
The theory of angular momentum (mainly the algebraic method).
Three-dimensional central potentials and, in particular, the hydrogen atom.
Spin and addition of angular momenta.
The theory of time-independent perturbations (with and without degeneracy).
The approximate variational method.
Additionally, the course introduces:
The relativistic quantum mechanical Dirac equation.
The relativistic corrections to the problem of the hydrogen atom.
- Teacher: Χριστοφορος Κουβαρης
ECTS : 6
Language : el