Topic 01
From Ideal Gases to Microscopic Interactions
07:18Lecture 8 · 05 Oct 2026 · Recording part 1
Script:
PHYS5510 · Chapter collection
Chapter 4: Non-ideal Gases
A topic-by-topic collection drawn from the lecture recordings. Lecture logistics, opening recaps, and closing transitions are trimmed where they interrupt the chapter.Designed explanations, worked examples, and checks in the instructor’s voice.
518 topics3:24:2137:40 totalEnglish · 简体中文 · 繁體中文
Complete script:
Complete script:
Topic 02
The Partition Function and Mayer Bonds
05:51Lecture 8 · 05 Oct 2026 · Recording part 2
Script:
Topic 03
Connected Components and Cluster Integrals
07:44Lecture 8 · 05 Oct 2026 · Recording part 3
Script:
Topic 04
Counting Particle-Label Partitions
03:06Lecture 8 · 05 Oct 2026 · Recording part 4
Script:
Topic 05
Cluster Counting and Few-Particle Integrals
03:20Lecture 8 · 05 Oct 2026 · Recording part 5
Script:
Topic 06
Assembling the Grand Partition Function
04:38Lecture 8 · 05 Oct 2026 · Recording part 6
Script:
Topic 07
Pressure and Density from Connected Clusters
03:26Lecture 8 · 05 Oct 2026 · Recording part 7
Script:
Topic 08
Dilute Gases and the Limits of the Expansion
04:09Lecture 8 · 05 Oct 2026 · Recording part 8
Script:
Topic 09
Lee–Yang Zeros and Phase Transitions
04:03Lecture 8 · 05 Oct 2026 · Recording part 9
Script:
Topic 10
C. N. Yang and CUHK
02:54Lecture 8 · 05 Oct 2026 · Recording part 10
Script:
Topic 11
The Pair Integral and van der Waals Matching
05:34Lecture 8 · 05 Oct 2026 · Recording part 11
Script:
Topic 12
Series Inversion and Higher Virial Coefficients
03:27Lecture 8 · 05 Oct 2026 · Recording part 12
Script:
Topic 13
Research News and the Lecture Plan
00:55Lecture 9 · 07 Oct 2026 · Recording part 1
Script:
Topic 14
Classical Clusters and the Limits of Gas Expansions
06:23Lecture 9 · 07 Oct 2026 · Recording part 2
Script:
Topic 15
Quantum Statistics and Symmetry Subspaces
05:34Lecture 9 · 07 Oct 2026 · Recording part 3
Script:
Topic 16
Swaps, Cycles, and the Permutation Group
04:51Lecture 9 · 07 Oct 2026 · Recording part 4
Script:
Topic 17
Permutation Parity and Fermionic Signs
06:02Lecture 9 · 07 Oct 2026 · Recording part 5
Script:
Topic 18
Symmetry for Multicomponent Gases
01:48Lecture 9 · 07 Oct 2026 · Recording part 6
Script:
Topic 19
Thermal Propagators and Imaginary Time
08:44Lecture 9 · 07 Oct 2026 · Recording part 7
Script:
Topic 20
Connected Quantum Clusters and Diagrams
03:47Lecture 9 · 07 Oct 2026 · Recording part 8
Script:
Topic 21
Assembling the Quantum Grand Partition Function
04:29Lecture 9 · 07 Oct 2026 · Recording part 9
Script:
Topic 22
Permutation Notation and Composition
05:12Lecture 9 · 07 Oct 2026 · Recording part 10
Script:
Topic 23
Few-Body Spectra and Cluster Calculations
05:19Lecture 9 · 07 Oct 2026 · Recording part 11
Script:
Topic 24
The Free One-Particle Coefficient
03:07Lecture 9 · 07 Oct 2026 · Recording part 12
Script:
Topic 25
The Two-Particle Exchange Contribution
03:55Lecture 9 · 07 Oct 2026 · Recording part 13
Script:
Topic 26
Thermal Kernels and the Exchange Trace
05:06Lecture 9 · 07 Oct 2026 · Recording part 14
Script:
Topic 27
Exchange Paths and Twice the Imaginary Time
05:08Lecture 9 · 07 Oct 2026 · Recording part 15
Script:
Topic 28
Higher Free-Gas Coefficients and Conventions
03:46Lecture 9 · 07 Oct 2026 · Recording part 16
Script:
Topic 29
Summing the Ideal-Gas Virial Series
04:18Lecture 9 · 07 Oct 2026 · Recording part 17
Script:
Topic 30
Second Quantization and the Purpose of Clusters
02:47Lecture 9 · 07 Oct 2026 · Recording part 18
Script:
Topic 31
Interaction Corrections and Microscopic Potentials
02:27Lecture 9 · 07 Oct 2026 · Recording part 19
Script:
Topic 32
Bound States, Scattering, and the Low-Energy Limit
08:05Lecture 9 · 07 Oct 2026 · Recording part 20
Script:
Topic 33
Midterm and Homework Reminders
00:58Lecture 10 · 12 Oct 2026 · Recording part 1
Script:
Topic 34
Quantum Statistics and Cluster Expansion
02:17Lecture 10 · 12 Oct 2026 · Recording part 2
Script:
Topic 35
Separating Exchange and Interaction Contributions
03:17Lecture 10 · 12 Oct 2026 · Recording part 3
Script:
Topic 36
Hard Cores, Interaction Range, and Diluteness
03:30Lecture 10 · 12 Oct 2026 · Recording part 4
Script:
Topic 37
Phase Shifts and the Scattering Length
02:55Lecture 10 · 12 Oct 2026 · Recording part 5
Script:
Topic 38
Contact Interactions and the Zero-Range Model
04:04Lecture 10 · 12 Oct 2026 · Recording part 6
Script:
Topic 39
Few-Body Partition Functions and Connected Coefficients
05:41Lecture 10 · 12 Oct 2026 · Recording part 7
Script:
Topic 40
Two-Body Spectra: Bound and Scattering States
05:01Lecture 10 · 12 Oct 2026 · Recording part 8
Script:
Topic 41
The Beth–Uhlenbeck Integral and the Unitary Result
01:45Lecture 10 · 12 Oct 2026 · Recording part 9
Script:
Topic 42
Scale Invariance at Unitarity
04:26Lecture 10 · 12 Oct 2026 · Recording part 10
Script:
Topic 43
Using the Two-Body Result in the Equation of State
00:48Lecture 10 · 12 Oct 2026 · Recording part 11
Script:
Topic 44
The Third Coefficient and Harmonic-Trap Spectra
04:00Lecture 10 · 12 Oct 2026 · Recording part 12
Script:
Topic 45
From Trapped to Homogeneous Virial Coefficients
03:35Lecture 10 · 12 Oct 2026 · Recording part 13
Script:
Topic 46
Measuring the Unitary Equation of State
02:28Lecture 10 · 12 Oct 2026 · Recording part 14
Script:
Topic 47
The Fourth Coefficient: Comparing Theory and Experiment
01:41Lecture 10 · 12 Oct 2026 · Recording part 15
Script:
Topic 48
Trotter Splitting and Automated Algebra
03:38Lecture 10 · 12 Oct 2026 · Recording part 16
Script:
Topic 49
Higher Orders and the Measured Equation of State
00:39Lecture 10 · 12 Oct 2026 · Recording part 17
Script:
Topic 50
Series Convergence and Critical Behavior
03:35Lecture 10 · 12 Oct 2026 · Recording part 18
Script:
Topic 51
Time-Dependent Clusters and Lee–Yang Zeros
02:50Lecture 10 · 12 Oct 2026 · Recording part 19
Script:
Topic 01
Build the classical connected expansion
06:27
Script:
Topic 02
Invert the series and calculate a pair correction
04:01
Script:
Topic 03
Convergence, complex zeros, and a CUHK connection
02:19
Script:
Topic 04
Exchange, quantum clusters, and coefficient units
06:40
Script:
Topic 05
Use connected traces and the resonant pair result
03:15
Script:
Topic 06
Optional: derive the two-body spectral correction
04:31
Script:
Topic 07
Higher clusters, experiments, and fit sensitivity
06:51
Script:
Topic 08
Real-time clusters and partition-function probes
03:37
Script: