by

Ciro Santilli (@cirosantilli, 34)

The Elastic Chain

austen.uk/courses/tqm/elastic-chain/

The Classical System

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austen.uk/courses/tqm/elastic-chain/#the-classical-system

Equations of Motion

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austen.uk/courses/tqm/elastic-chain/#the-classical-system

Hamiltonian Formulation

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austen.uk/courses/tqm/elastic-chain/#hamiltonian-formulation

Complex Coordinates

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austen.uk/courses/tqm/elastic-chain/#complex-coordinates

Quantum Oscillators

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austen.uk/courses/tqm/elastic-chain/#quantum-oscillators

The Quantum Chain

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austen.uk/courses/tqm/elastic-chain/#the-quantum-chain

Oscillator Quanta are Bosons!

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austen.uk/courses/tqm/elastic-chain/#oscillator-quanta-are-bosons

Thermodynamic ( $N \to \infty$ ) limit

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austen.uk/courses/tqm/elastic-chain/#thermodynamic-nto-infty-limit

Finite Temperature

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austen.uk/courses/tqm/elastic-chain/#finite-temperature

Position Fluctuations

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austen.uk/courses/tqm/elastic-chain/#position-fluctuations

Density Fluctuations

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austen.uk/courses/tqm/elastic-chain/#density-fluctuations

Appendix

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austen.uk/courses/tqm/elastic-chain/#appendix

Fourier review

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austen.uk/courses/tqm/elastic-chain/#fourier-review

Discrete Fourier Transform

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austen.uk/courses/tqm/elastic-chain/#discrete-fourier-transform

Properties of the Fourier Transform

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austen.uk/courses/tqm/elastic-chain/#properties-of-the-fourier-transform

Higher dimensions

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austen.uk/courses/tqm/elastic-chain/#higher-dimensions

Evaluating (56)

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austen.uk/courses/tqm/elastic-chain/#evaluating-eqrefcoll_uvar

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