Quantum Physics I

Part 3: One-dimensional Scattering, Angular Momentum, and Central Potentials

lec #	topics
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)