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Theories of Quantum Matter by Austen Lamacraft
...
Science
Natural science
Physics
Condensed matter physics
Condensed matter Physics bibliography
Condensed matter university course
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tags:
CC BY-NC-ND 4.0 table of contents
,
GitHub book repo
words: 37
articles: 37
austen.uk/courses/tqm/
github.com/AustenLamacraft/Theories-of-Quantum-Matter
Written in
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As mentioned on the introduction, the main objective of the course is to try predict qualitative properties of materials, notably the existence of certain
phase transitions
, starting from first principle toy models.
Key phenomena covered include:
fractional quantum Hall effect
Table of contents
37
37
Many Body Wavefunctions
Theories of Quantum Matter by Austen Lamacraft
7
Bosons and Fermions
Many Body Wavefunctions
2
Two Particles
Bosons and Fermions
Product States
Bosons and Fermions
The 1D Fermi Gas
Many Body Wavefunctions
3
Ground State
The 1D Fermi Gas
Density; Density Matrix; Pair Distribution
The 1D Fermi Gas
Impenetrable Bose Gas
The 1D Fermi Gas
Quantum Hall Effect
Theories of Quantum Matter by Austen Lamacraft
10
Fractional Quantum Hall Effect
Quantum Hall Effect
7
Landau Levels
Fractional Quantum Hall Effect
2
Lowest Landau level
(LLL)
Landau Levels
1
Filled LLL of Fermions
Lowest Landau level
The Laughlin Wavefunction
Fractional Quantum Hall Effect
The Plasma Analogy
Fractional Quantum Hall Effect
Fractional Charge
Fractional Quantum Hall Effect
Fractional Statistics
Fractional Quantum Hall Effect
Appendix
Quantum Hall Effect
1
Sampling from a complex wavefunction
Appendix
The Elastic Chain
Theories of Quantum Matter by Austen Lamacraft
17
The Classical System
The Elastic Chain
3
Equations of Motion
The Classical System
Hamiltonian Formulation
The Classical System
Complex Coordinates
The Classical System
Quantum Oscillators
The Elastic Chain
6
The Quantum Chain
Quantum Oscillators
Oscillator Quanta are Bosons!
Quantum Oscillators
Thermodynamic (
N
→
∞
) limit
Quantum Oscillators
Finite Temperature
Quantum Oscillators
Position Fluctuations
Quantum Oscillators
Density Fluctuations
Quantum Oscillators
Appendix
The Elastic Chain
5
Fourier review
Appendix
Discrete Fourier Transform
Appendix
Properties of the Fourier Transform
Appendix
Higher dimensions
Appendix
Evaluating (56)
Appendix
Many Body Wavefunctions
articles: 7
Theories of Quantum Matter by Austen Lamacraft
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austen.uk/courses/tqm/many-body-wavefunctions/
Solutions for the Schrodinger equation with multiple particles
Bosons and Fermions
articles: 2
Many Body Wavefunctions
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austen.uk/courses/tqm/many-body-wavefunctions/#bosons-and-fermions
Fermions, bosons and anyons
Two Particles
Bosons and Fermions
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austen.uk/courses/tqm/many-body-wavefunctions/#two-particles
Solutions of the Schrodinger equation for two electrons
Product States
Bosons and Fermions
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austen.uk/courses/tqm/many-body-wavefunctions/#product-states
Product state
The 1D Fermi Gas
articles: 3
Many Body Wavefunctions
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austen.uk/courses/tqm/many-body-wavefunctions/#the-1d-fermi-gas
1D Fermi gas
Ground State
The 1D Fermi Gas
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austen.uk/courses/tqm/many-body-wavefunctions/#ground-state
Density; Density Matrix; Pair Distribution
The 1D Fermi Gas
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austen.uk/courses/tqm/many-body-wavefunctions/#density-density-matrix-pair-distribution
Impenetrable Bose Gas
The 1D Fermi Gas
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austen.uk/courses/tqm/many-body-wavefunctions/#impenetrable-bose-gas
Impenetrable Bose Gas
Quantum Hall Effect
articles: 10
Theories of Quantum Matter by Austen Lamacraft
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austen.uk/courses/tqm/quantum-hall-effect
Quantum Hall effect
Fractional Quantum Hall Effect
articles: 7
Quantum Hall Effect
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austen.uk/courses/tqm/quantum-hall-effect/#fractional-quantum-hall-effect
Fractional quantum Hall effect
Landau Levels
articles: 2
Fractional Quantum Hall Effect
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austen.uk/courses/tqm/quantum-hall-effect/#landau-levels
Landau level
Lowest Landau level
(LLL)
articles: 1
Landau Levels
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Filled LLL of Fermions
Lowest Landau level
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austen.uk/courses/tqm/quantum-hall-effect/#filled-lll-of-fermions
The Laughlin Wavefunction
Fractional Quantum Hall Effect
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austen.uk/courses/tqm/quantum-hall-effect/#the-laughlin-wavefunction
Laughlin wavefunction
The Plasma Analogy
Fractional Quantum Hall Effect
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austen.uk/courses/tqm/quantum-hall-effect/#the-plasma-analogy
Fractional Charge
Fractional Quantum Hall Effect
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austen.uk/courses/tqm/quantum-hall-effect/#fractional-charge
Anyon
Fractional Statistics
Fractional Quantum Hall Effect
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austen.uk/courses/tqm/quantum-hall-effect/#fractional-statistics
Appendix
articles: 1
Quantum Hall Effect
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austen.uk/courses/tqm/quantum-hall-effect/#appendix
Sampling from a complex wavefunction
Appendix
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austen.uk/courses/tqm/quantum-hall-effect/#sampling-from-a-complex-wavefunction
The Elastic Chain
articles: 17
Theories of Quantum Matter by Austen Lamacraft
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austen.uk/courses/tqm/elastic-chain/
The Classical System
articles: 3
The Elastic Chain
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austen.uk/courses/tqm/elastic-chain/#the-classical-system
Equations of Motion
The Classical System
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austen.uk/courses/tqm/elastic-chain/#the-classical-system
Hamiltonian Formulation
The Classical System
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austen.uk/courses/tqm/elastic-chain/#hamiltonian-formulation
Complex Coordinates
The Classical System
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austen.uk/courses/tqm/elastic-chain/#complex-coordinates
Quantum Oscillators
articles: 6
The Elastic Chain
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austen.uk/courses/tqm/elastic-chain/#quantum-oscillators
The Quantum Chain
Quantum Oscillators
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austen.uk/courses/tqm/elastic-chain/#the-quantum-chain
Oscillator Quanta are Bosons!
Quantum Oscillators
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austen.uk/courses/tqm/elastic-chain/#oscillator-quanta-are-bosons
Thermodynamic (
N
→
∞
) limit
Quantum Oscillators
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austen.uk/courses/tqm/elastic-chain/#thermodynamic-nto-infty-limit
Finite Temperature
Quantum Oscillators
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austen.uk/courses/tqm/elastic-chain/#finite-temperature
Position Fluctuations
Quantum Oscillators
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austen.uk/courses/tqm/elastic-chain/#position-fluctuations
Density Fluctuations
Quantum Oscillators
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austen.uk/courses/tqm/elastic-chain/#density-fluctuations
Appendix
articles: 5
The Elastic Chain
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austen.uk/courses/tqm/elastic-chain/#appendix
Fourier review
Appendix
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austen.uk/courses/tqm/elastic-chain/#fourier-review
Discrete Fourier Transform
Appendix
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austen.uk/courses/tqm/elastic-chain/#discrete-fourier-transform
Properties of the Fourier Transform
Appendix
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austen.uk/courses/tqm/elastic-chain/#properties-of-the-fourier-transform
Higher dimensions
Appendix
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austen.uk/courses/tqm/elastic-chain/#higher-dimensions
Evaluating (56)
Appendix
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austen.uk/courses/tqm/elastic-chain/#evaluating-eqrefcoll_uvar
Ancestors
(7)
Condensed matter university course
Condensed matter Physics bibliography
Condensed matter physics
Physics
Natural science
Science
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