CHAOS LIGHT - CLASSICAL AND QUANTUM

Classics Illustrated version based on lecture overheads

some overheads and videos (both wildly incomplete) from P. Cvitanović's lectures based on ChaosBook.org. Currently more video links are on the course pages.

Chapter 1 - Overture

Chapter 2 - Go with the flow

Chapter 3 - Discrete time dynamics

Chapter 4 - Local stability

Chapter 5 - Cycle stability

Chapter 6 - Lyapunov exponents

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Chapter 7 - Hamiltonian dynamics

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Chapter 8 - Billiards

teacher

Chapter 9 - World in a mirror

Chapter 10 - Relativity for cyclists

Chapter 11 - Charting the state space

Chapter 12 - Qualitative dynamics, for cyclists

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Chapter 13 - Fixed points, and how to get them

Chapter 14 - Walkabout: Transition graphs

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Chapter 15 - Counting

Chapter 16 - Transporting densities

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Chapter 17 - Averaging

Chapter 18 - Trace formulas

Chapter 19 - Spectral determinants

Chapter 20 - Cycle expansions

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Chapter 21 - Discrete factorization

Chapter 22 - Why cycle?

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Chapter 23 - Why does it work?

Chapter 24 - Intermittency

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Chapter 25 - Deterministic diffusion

Chapter 26 - Turbulence?

turbulence tutorial
a seminar (click on PDF icon) + 3 videos of Newton Inst presentations

Chapter 27 - Irrationally winding

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Chapter 28 - Noise

Chapter 29 - Relaxation for cyclists

Chapter 30 - Quantum chaos - prologue

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Chapter 31 - Quantum mechanics, briefly

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Chapter 32 - WKB quantization

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Chapter 33 - Semiclassical evolution

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Chapter 34 - Semiclassical quantization

Chapter 35 - Quantum scattering

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Chapter 36 - Chaotic multiscattering

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Chapter 37 - Helium atom

Chapter 38 - Diffraction distraction

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Epilogue

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Appendix A - A brief history of chaos

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Appendix B - Go straight

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Appendix C - Linear stability

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Appendix D - Finding cycles

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Appendix E - Symbolic dynamics techniques

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Appendix F - Counting itineraries

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Appendix G - Implementing evolution

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Appendix H - Transport of vector fields

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Appendix I - Discrete symmetries of dynamics

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Appendix J - Convergence of Fredholm determinants

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Appendix K - Infinite dimensional operators

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Appendix L - Thermodynamic formalism

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Appendix M - Statistical mechanics recycled

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Appendix N - Noise/quantum corrections

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Appendix T - Projects

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