8.06 | Spring 2018 | Undergraduate

Quantum Physics III

Video Lectures

Scattering and Identical Particles

lec # topics
Lecture 19: Scattering
L19.1 L19.1 Elastic scattering defined and assumptions (15:35)
L19.2 L19.2 Energy eigenstates: incident and outgoing waves. Scattering amplitude (25:02)
L19.3 L19.3 Differential and total cross section (20:20)
L19.4 L19.4 Differential as a Sum of Partial Waves (17:46)
Lecture 20: Scattering (continued 1)
L20.1 L20.1 Review of Scattering Concepts Developed So Far (9:02)
L20.2 L20.2 The One-Dimensional Analogy for Phase Shifts (16:57)
L20.3 L20.3 Scattering Amplitude in Terms of Phase Shifts (14:59)
L20.4 L20.4 Cross Section in Terms of Partial Cross Sections. Optical Theorem (13:13)
L20.5 L20.5 Identification of Phase Shifts. Example: Hard Sphere (18:01)
Lecture 21: Scattering (continued 2)
L21.1 L21.1 General Computation of the Phase Shifts (18:14)
L21.2 L21.2 Phase Shifts and Impact Parameter (27:38)
L21.3 L21.3 Integral Equation for Scattering and Green’s Function (30:26)
Lecture 22: Scattering (continued 3). Identical Particles
L22.1 L22.1 Setting Up the Born Series (21:07)
L22.2 L22.2 First Born Approximation. Calculation of the Scattering Amplitude (13:02)
L22.3 L22.3 Diagrammatic Representation of the Born series. Scattering Amplitude for Spherically Symmetric Potentials (21:41)
L22.4 L22.4 Identical Particles and Exchange Degeneracy (19:41)
Lecture 23: Identical Particles (continued 1)
L23.1 L23.1 Permutation Operators and Projectors for Two Particles (22:22)
L23.2 L23.2 Permutation Operators Acting on Operators (11:44)
L23.3 L23.3 Permutation Operators on N Particles and Transpositions (29:39)
L23.4 L23.4 Symmetric and Antisymmetric States of N Particles (11:34)
Lecture 24: Identical Particles (continued 2)
L24.1 L24.1 Symmetrizer and Antisymmetrizer for N Particles (16:48)
L24.2 L24.2 Symmetrizer and Antisymmetrizer for N Particles (continued) (24:53)
L24.3 L24.3 The Symmetrization Postulate (11:37)
L24.4 L24.4 The Symmetrization Postulate (continued) (continued) (20:49)

Course Info

As Taught In
Spring 2018
Learning Resource Types
Lecture Videos
Problem Sets
Lecture Notes