Lecture 19: Resonances and BreitWigner distribution. The complex kplane.

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

Halfwidth 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 2body 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 twobody 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)
