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. MachZehnder interferometer (14:30)

Lecture 2: Overview of quantum mechanics (cont.). Interactionfree measurements.

L2.1

More on superposition. General state of a photon and spin states (17:10)

L2.2

Entanglement (13:07)

L2.3

MachZehnder interferometers and beam splitters (15:32)

L2.4

Interferometer and interference (12:26)

L2.5

ElitzurVaidman 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 wavepacket (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 3dimensional 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

Threedimensional 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)
