| Lecture 1: An overview of quantum mechanics. |
| L1.1 |
Quantum mechanics as a framework. Defining linearity (17:46) |
| L1.2 |
Linearity and nonlinear theories. Schrödinger's equation (10:01) |
| L1.3 |
Necessity of complex numbers (07:38) |
| L1.4 |
Photons and the loss of determinism (17:20) |
| L1.5 |
The nature of superposition. Mach-Zehnder interferometer (14:30) |
| Lecture 2: Overview of quantum mechanics (cont.). Interaction-free measurements. |
| L2.1 |
More on superposition. General state of a photon and spin states (17:10) |
| L2.2 |
Entanglement (13:07) |
| L2.3 |
Mach-Zehnder interferometers and beam splitters (15:32) |
| L2.4 |
Interferometer and interference (12:26) |
| L2.5 |
Elitzur-Vaidman bombs (10:29) |
| Lecture 3: Photoelectric effect, Compton scattering, and de Broglie wavelength. |
| L3.1 |
The photoelectric effect (22:54) |
| L3.2 |
Units of h and Compton wavelength of particles (12:39) |
| L3.3 |
Compton Scattering (22:34) |
| L3.4 |
de Broglie’s proposal (10:39) |
| Lecture 4: de Broglie matter waves. Group velocity and stationary phase. Wave for a free particle. |
| L4.1 |
de Broglie wavelength in different frames (14:53) |
| L4.2 |
Galilean transformation of ordinary waves (12:16) |
| L4.3 |
The frequency of a matter wave (10:23) |
| L4.4 |
Group velocity and stationary phase approximation (10:32) |
| L4.5 |
Motion of a wave-packet (08:58) |
| L4.6 |
The wave for a free particle (14:35) |
| Lecture 5: Momentum operator, Schrödinger equation, and interpretation of the wavefunction. |
| L5.1 |
Momentum operator, energy operator, and a differential equation (20:33) |
| L5.2 |
Free Schrödinger equation (09:56) |
| L5.3 |
The general Schrödinger equation. x, p commutator (17:58) |
| L5.4 |
Commutators, matrices, and 3-dimensional Schrödinger equation (16:12) |
| L5.5 |
Interpretation of the wavefunction (08:01) |
| Lecture 6: Probability density and current. Hermitian conjugation. |
| L6.1 |
Normalizable wavefunctions and the question of time evolution (16:50) |
| L6.2 |
Is probability conserved? Hermiticity of the Hamiltonian (20:42) |
| L6.3 |
Probability current and current conservation (15:14) |
| L6.4 |
Three dimensional current and conservation (18:13) |
| Lecture 7: Wavepackets and uncertainty. Time evolution and shape change time evolutions. |
| L7.1 |
Wavepackets and Fourier representation (12:23) |
| L7.2 |
Reality condition in Fourier transforms (09:11) |
| L7.3 |
Widths and uncertainties (19:13) |
| L7.4 |
Shape changes in a wave (16:56) |
| L7.5 |
Time evolution of a free particle wavepacket (09:44) |
| Lecture 8: Uncovering momentum space. Expectation values and their time dependence. |
| L8.1 |
Fourier transforms and delta functions (13:58) |
| L8.2 |
Parseval identity (15:50) |
| L8.3 |
Three-dimensional Fourier transforms (06:04) |
| L8.4 |
Expectation values of operators (28:15) |
| L8.5 |
Time dependence of expectation values (7:37) |
| Lecture 9: Observables, Hermitian operators, measurement and uncertainty. Particle on a circle. |
| L9.1 |
Expectation value of Hermitian operators (16:40) |
| L9.2 |
Eigenfunctions of a Hermitian operator (13:05) |
| L9.3 |
Completeness of eigenvectors and measurement postulate (16:56) |
| L9.4 |
Consistency condition. Particle on a circle (17:45) |
| L9.5 |
Defining uncertainty (10:31) |
