PHYS5510 · Lecture recording

Lecture 10: Interacting Quantum Gases and the Opening of Phase Transitions

Chapters 4 and 5: interacting quantum gases, mean-field theory, and liquid–gas phase transitions.

27 parts1:25:57 totalEnglish · 简体中文 · 繁體中文

Complete script:

Part 01

Midterm and Homework Reminders

00:58

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Part 02

Quantum Statistics and Cluster Expansion

02:17

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Part 03

Separating Exchange and Interaction Contributions

03:17

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Part 04

Hard Cores, Interaction Range, and Diluteness

03:30

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Part 05

Phase Shifts and the Scattering Length

02:55

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Part 06

Contact Interactions and the Zero-Range Model

04:04

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Part 07

Few-Body Partition Functions and Connected Coefficients

05:41

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Part 08

Two-Body Spectra: Bound and Scattering States

05:01

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Part 09

The Beth–Uhlenbeck Integral and the Unitary Result

01:45

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Part 10

Scale Invariance at Unitarity

04:26

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Part 11

Using the Two-Body Result in the Equation of State

00:48

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Part 12

The Third Coefficient and Harmonic-Trap Spectra

04:00

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Part 13

From Trapped to Homogeneous Virial Coefficients

03:35

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Part 14

Measuring the Unitary Equation of State

02:28

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Part 15

The Fourth Coefficient: Comparing Theory and Experiment

01:41

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Part 16

Trotter Splitting and Automated Algebra

03:38

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Part 17

Higher Orders and the Measured Equation of State

00:39

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Part 18

Series Convergence and Critical Behavior

03:35

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Part 19

Time-Dependent Clusters and Lee–Yang Zeros

02:50

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Part 20

From Dilute Gases to Phase Transitions

04:08

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Part 21

Thermodynamic Limit and Stability

02:06

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Part 22

Andrews, Coexistence, and the Critical Endpoint

05:04

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Part 23

Transition Order and Thermodynamic Potentials

05:54

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Part 24

Mean Field: Free Energy and Excluded Volume

02:12

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Part 25

Mean Field: Attractive Energy and Pair Counting

03:53

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Part 26

The van der Waals Equation and the Virial Match

03:02

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Part 27

Isotherms and the Emerging Critical Point

02:30

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