| Lecture 19: Resonances and Breit-Wigner distribution. The complex k-plane. |
| L19.1 |
Time delay and resonances (18:18) |
| L19.2 |
Effects of resonance on phase shifts, wave amplitude and time delay (14:53) |
| L19.3 |
Modelling a resonance (15:37) |
| L19.4 |
Half-width and time delay (08:17) |
| L19.5 |
Resonances in the complex k plane (15:14) |
| Lecture 20: Central potentials and angular momentum. |
| L20.1 |
Translation operator. Central potentials (19:13) |
| L20.2 |
Angular momentum operators and their algebra (14:28) |
| L20.3 |
Commuting observables for angular momentum (17:17) |
| L20.4 |
Simultaneous eigenstates and quantization of angular momentum (24:35) |
| Lecture 21: Legendre equation. Radial equation. Hydrogen atom 2-body problem. |
| L21.1 |
Associated Legendre functions and spherical harmonics (18:51) |
| L21.2 |
Orthonormality of spherical harmonics (17:57) |
| L21.3 |
Effective potential and boundary conditions at r=0 (14:28) |
| L21.4 |
Hydrogen atom two-body problem (25:04) |
| Lecture 22: Hydrogen atom (cont.). Differential equation, series solution and quantum numbers |
| L22.1 |
Center of mass and relative motion wavefunctions (14:22) |
| L22.2 |
Scales of the hydrogen atom (09:56) |
| L22.3 |
Schrödinger equation for hydrogen (20:59) |
| L22.4 |
Series solution and quantization of the energy (14:22) |
| L22.5 |
Energy eigenstates of hydrogen (12:24) |
| Lecture 23: Spectrum for hydrogen. Virial theorem, circular orbits and eccentricity. |
| L23.1 |
Energy levels and diagram for hydrogen (13:41) |
| L23.2 |
Degeneracy in the spectrum and features of the solution (14:20) |
| L23.3 |
Rydberg atoms (26:22) |
| L23.4 |
Orbits in the hydrogen atom (10:45) |
| Lecture 24: Hydrogen atom (conclusion). The simplest quantum system and emergent angular momentum. |
| L24.1 |
More on the hydrogen atom degeneracies and orbits (23:21) |
| L24.2 |
The simplest quantum system (13:55) |
| L24.3 |
Hamiltonian and emerging spin angular momentum (15:42) |
| L24.4 |
Eigenstates of the Hamiltonian (14:03) |
