PHYS5510 · Lecture recording

Lecture 9: Quantum Cluster Expansion: Permutations, Exchange, and Virial Coefficients

Chapter 4: permutations, exchange, thermal propagators, and the quantum cluster expansion.

20 parts1:31:42 totalEnglish · 简体中文 · 繁體中文
Complete script:
Part 01

Research News and the Lecture Plan

00:55
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Part 02

Classical Clusters and the Limits of Gas Expansions

06:23
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Part 03

Quantum Statistics and Symmetry Subspaces

05:34
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Part 04

Swaps, Cycles, and the Permutation Group

04:51
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Part 05

Permutation Parity and Fermionic Signs

06:02
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Part 06

Symmetry for Multicomponent Gases

01:48
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Part 07

Thermal Propagators and Imaginary Time

08:44
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Part 08

Connected Quantum Clusters and Diagrams

03:47
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Part 09

Assembling the Quantum Grand Partition Function

04:29
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Part 10

Permutation Notation and Composition

05:12
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Part 11

Few-Body Spectra and Cluster Calculations

05:19
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Part 12

The Free One-Particle Coefficient

03:07
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Part 13

The Two-Particle Exchange Contribution

03:55
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Part 14

Thermal Kernels and the Exchange Trace

05:06
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Part 15

Exchange Paths and Twice the Imaginary Time

05:08
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Part 16

Higher Free-Gas Coefficients and Conventions

03:46
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Part 17

Summing the Ideal-Gas Virial Series

04:18
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Part 18

Second Quantization and the Purpose of Clusters

02:47
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Part 19

Interaction Corrections and Microscopic Potentials

02:27
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Part 20

Bound States, Scattering, and the Low-Energy Limit

08:05
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