PHYS5510 · Chapter collection

Chapter 3: Quantum Statistics

Lecture topics from the classroom recordings. Subtitle and script options appear where available.

37 topics3:46:12 totalEnglish · 简体中文 · 繁體中文
Available scripts:
Topic 01

Quantum Statistics: Introduction

08:53

Lecture 5 · 23 Sep 2026 · Original part 1

Topic 02

Ensembles and Purity

10:24

Lecture 5 · 23 Sep 2026 · Original part 2

Topic 03

Density-Matrix Properties

14:14

Lecture 5 · 23 Sep 2026 · Original part 3

Topic 04

Quantum Dynamics and Canonical States

16:13

Lecture 5 · 23 Sep 2026 · Original part 4

Topic 05

Grand-Canonical Ensemble

04:33

Lecture 5 · 23 Sep 2026 · Original part 5

Topic 06

Quantum Measurements and Back-Action

06:30

Lecture 6 · 28 Sep 2026 · Original part 1

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Topic 07

Microcanonical States and Entropy

03:06

Lecture 6 · 28 Sep 2026 · Original part 2

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Topic 08

Matrix Functions and Pure-State Entropy

04:11

Lecture 6 · 28 Sep 2026 · Original part 3

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Topic 09

Conserved Particle Numbers and Chemical Potentials

08:00

Lecture 6 · 28 Sep 2026 · Original part 4

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Topic 10

Free Fermions and Occupation Numbers

06:55

Lecture 6 · 28 Sep 2026 · Original part 5

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Topic 11

The Fermionic Grand Partition Function

04:44

Lecture 6 · 28 Sep 2026 · Original part 6

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Topic 12

Chemical Potential and Mode Occupation

03:53

Lecture 6 · 28 Sep 2026 · Original part 7

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Topic 13

The Fermi–Dirac Distribution

07:20

Lecture 6 · 28 Sep 2026 · Original part 8

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Topic 14

Thermal Broadening of the Fermi Surface

04:13

Lecture 6 · 28 Sep 2026 · Original part 9

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Topic 15

Density of States in Three Dimensions

06:45

Lecture 6 · 28 Sep 2026 · Original part 10

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Topic 16

Grand Potential and the Equation of State

06:53

Lecture 6 · 28 Sep 2026 · Original part 11

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Topic 17

Recovering the Classical Ideal Gas

03:52

Lecture 6 · 28 Sep 2026 · Original part 12

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Topic 18

Chemical Potential, Fugacity, and the Classical Regime

09:13

Lecture 6 · 28 Sep 2026 · Original part 13

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Topic 19

Free Bosons and Quantum Statistics

02:45

Lecture 6 · 28 Sep 2026 · Original part 14

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Topic 20

Bosonic Partition Functions and the Condensation Preview

06:42

Lecture 6 · 28 Sep 2026 · Original part 15

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Topic 21

Fermi Statistics and the Classical Limit

03:40

Lecture 7 · 30 Sep 2026 · Original part 1

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Topic 22

Bose Statistics, Bunching, and Antibunching

06:53

Lecture 7 · 30 Sep 2026 · Original part 2

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Topic 23

Boson Thermodynamics and Excited-State Saturation

08:35

Lecture 7 · 30 Sep 2026 · Original part 3

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Topic 24

Bose–Einstein Condensation and the Condensate Fraction

07:49

Lecture 7 · 30 Sep 2026 · Original part 4

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Topic 25

Critical Temperature and the Thermodynamic Limit

05:45

Lecture 7 · 30 Sep 2026 · Original part 5

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Topic 26

Realizing Condensation in Atomic Gases

06:43

Lecture 7 · 30 Sep 2026 · Original part 6

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Topic 27

Trap Geometry and the Condensation Phase Diagram

02:40

Lecture 7 · 30 Sep 2026 · Original part 7

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Topic 28

Learning Statistical Mechanics from Different Perspectives

04:55

Lecture 7 · 30 Sep 2026 · Original part 8

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Topic 29

Composite Quantum Systems and Their Environments

06:23

Lecture 7 · 30 Sep 2026 · Original part 9

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Topic 30

Reduced Density Matrices and the Partial Trace

05:06

Lecture 7 · 30 Sep 2026 · Original part 10

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Topic 31

Product States, Bell States, and Local Information

05:01

Lecture 7 · 30 Sep 2026 · Original part 11

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Topic 32

Entanglement and Nonfactorizable States

03:57

Lecture 7 · 30 Sep 2026 · Original part 12

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Topic 33

Bipartite Entanglement Entropy

05:05

Lecture 7 · 30 Sep 2026 · Original part 13

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Topic 34

Schmidt Decomposition and the Entropy Bound

07:09

Lecture 7 · 30 Sep 2026 · Original part 14

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Topic 35

Compressing Quantum States with Singular Values

02:14

Lecture 7 · 30 Sep 2026 · Original part 15

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Topic 36

Mutual Information and Purity Measurements

02:01

Lecture 7 · 30 Sep 2026 · Original part 16

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Topic 37

Area Laws and Canonical Typicality

02:59

Lecture 7 · 30 Sep 2026 · Original part 17

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