Quantum Physics I

Part 1: Basic Concepts

lec #	topics
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)