| Lecture 10: Uncertainty (cont.). Stationary states. Particle on a circle. |
| L10.1 | Uncertainty and eigenstates (15:53) |
| L10.2 | Stationary states: key equations (18:43) |
| L10.3 | Expectation values on stationary states (09:00) |
| L10.4 | Comments on the spectrum and continuity conditions (13:09) |
| L10.5 | Solving particle on a circle (11:05) |
| Lecture 11: Uncertainty (cont.). Stationary states. Particle on a circle. |
| L11.1 | Energy eigenstates for particle on a circle (16:12) |
| L11.2 | Infinite square well energy eigenstates (13:15) |
| L11.3 | Nodes and symmetries of the infinite square well eigenstates. (09:43) |
| L11.4 | Finite square well. Setting up the problem. (22:30) |
| L11.5 | Finite square well energy eigenstates (10:39) |
| Lecture 12: Properties of 1D energy eigenstates. Qualitative properties of wavefunctions. Shooting method. |
| L12.1 | Nondegeneracy of bound states in 1D. Real solutions (12:36) |
| L12.2 | Potentials that satisfy V(-x) = V(x) (14:18) |
| L12.3 | Qualitative insights: Local de Broglie wavelength (15:52) |
| L12.4 | Correspondence principle: amplitude as a function of position (05:53) |
| L12.5 | Local picture of the wavefunction (12:52) |
| L12.6 | Energy eigenstates on a generic symmetric potential. Shooting method (15:26) |
| Lecture 13: Delta function potential. Justifying the node theorem. Simple harmonic oscillator. |
| L13.1 | Delta function potential I: Preliminaries (16:14) |
| L13.2 | Delta function potential I: Solving for the bound state (15:21) |
| L13.3 | Node Theorem (13:01) |
| L13.4 | Harmonic oscillator: Differential equation (16:45) |
| L13.5 | Behavior of the differential equation (10:31) |
| Lecture 14: Simple harmonic oscillator II. Creation and annihilation operators. |
| L14.1 | Recursion relation for the solution (12:25) |
| L14.2 | Quantization of the energy (23:23) |
| L14.3 | Algebraic solution of the harmonic oscillator (16:50) |
| L14.4 | Ground state wavefunction (15:58) |
| Lecture 15: Simple harmonic oscillator III. Scattering states and step potential. |
| L15.1 | Number operator and commutators (15:49) |
| L15.2 | Excited states of the harmonic oscillator (18:19) |
| L15.3 | Creation and annihilation operators acting on energy eigenstates (21:03) |
| L15.4 | Scattering states and the step potential (10:34) |
| Lecture 16: Step potential reflection and transmission coefficients. Phase shift, wavepackets and time delay. |
| L16.1 | Step potential probability current (14:59) |
| L16.2 | Reflection and transmission coefficients (08:12) |
| L16.3 | Energy below the barrier and phase shift (18:40) |
| L16.4 | Wavepackets (20:51) |
| L16.5 | Wavepackets with energy below the barrier (05:54) |
| L16.6 | Particle on the forbidden region (06:48) |
| Lecture 17: Ramsauer-Townsend effect. Scattering in 1D. |
| L17.1 | Waves on the finite square well (15:44) |
| L17.2 | Resonant transmission (17:49) |
| L17.3 | Ramsauer-Townsend phenomenology (10:16) |
| L17.4 | Scattering in 1D. Incoming and outgoing waves (18:05) |
| L17.5 | Scattered wave and phase shift (08:40) |
| Lecture 18: Scattering in 1D (cont.). Example. Levinson’s theorem. |
| L18.1 | Incident packet and delay for reflection (18:52) |
| L18.2 | Phase shift for a potential well (09:13) |
| L18.3 | Excursion of the phase shift (15:16) |
| L18.4 | Levinson's theorem, part 1 (14:46) |
| L18.5 | Levinson's theorem, part 2 (09:30) |
