QUANTUM PHYSICS

The further-Quantum Mechanics part of the Wolverhampton Lectures of Physics bring the theory to higher-dimensions, both in space (harmonic oscillator in 2D, hydrogen atom in 3D) and in phase-space (many-particle systems). It also introduces the main techniques to solve actual problems (variational principle, perturbation theory, etc.) and prepares the grounds for next year's Modern Physics where technological applications of the theory are studied.

Content

1. Quantum Mechanics in higher dimensions.
2. One particle in $n$D.
3. Ladder operators in spherical coordinates.
4. Mathematical Foundations of Quantum Mechanics
5. Schrödinger equation in polar coordinates.
6. The Radial equation.
7. Old quantum theory (Bohr's model of the atom).
8. Modern theory of the hydrogen atom.
9. Hydrogen Wavefunctions.
10. Helium.
11. Angular momentum in 3D. Quantum Algebra.
12. Eigenstates and eigenvalues of angular momentum.
13. Spin.
14. Addition of spin.
15. $n$ particles in 1D.
16. Atoms & Chemistry.
17. Einstein solid.
18. Quantum statistics.
19. Variational principle.
20. WKB approximation.
21. Perturbation theory (time-independent).
22. Perturbation theory (time-dependent).
23. EPR correlations.