CHAOS LIGHT - CLASSICAL AND QUANTUM

Classics Illustrated version based on lecture overheads

some overheads (wildly incomplete) from P. Cvitanović's lectures based on ChaosBook.org:



Part I: Classical chaos

Chapter 1 - Overture

Dreams: Chaotic Field Theory
(slides + streaming video)

Chapter 2 - Go with the flow

Chapter 3 - Discrete time dynamics

Chapter 4 - Local stability

(no overheads available)

Chapter 5 - Cycle stability

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Chapter 6 - Get straight

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Chapter 7 - Hamiltonian dynamics

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Chapter 8 - Billiards

Chapter 9 - World in a mirror

Chapter 10 - Qualitative dynamics, for pedestrians

Chapter 11 - Qualitative dynamics, for cyclists

(no overheads available)

Chapter 12 - Fixed points, and how to get them

Chapter 13 - Counting

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Chapter 14 - Transporting densities

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Chapter 15 - Averaging

Chapter 16 - Trace formulas

Chapter 17 - Spectral determinants

Chapter 18 - Cycle expansions

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Chapter 19 - Discrete factorization

Chapter 20 - Why cycle?

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Chapter 21 - Why does it work?

Chapter 22 - Thermodynamic formalism

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Chapter 23 - Intermittency

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Chapter 24 - Deterministic diffusion

Chapter 25 - Turbulence?

a seminar

Chapter 26 - Noise

Chapter 27 - Relaxation for cyclists

Chapter 28 - Irrationally winding

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Part II: Quantum chaos


Chapter 29 - Prologue

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Chapter 30 - Quantum mechanics, briefly

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Chapter 31 - WKB quantization

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Chapter 32 - Semiclassical evolution

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Chapter 33 - Semiclassical quantization

Chapter 34 - Quantum scattering

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Chapter 35 - Chaotic multiscattering

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Chapter 36 - Helium atom

Chapter 37 - Diffraction distraction

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Chapter 38 - Epilogue

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Part III: Material which will be kept on the web


Chapter A - A brief history of chaos

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Chapter B - Linear stability

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Chapter C - Implementing evolution

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Chapter D - Symbolic dynamics techniques

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Chapter E - Counting itineraries

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Chapter F - Finding cycles

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Chapter G - Transport of vector fields

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Chapter H - Discrete symmetries of dynamics

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Chapter I - Convergence of Fredholm determinants

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Chapter J - Infinite dimensional operators

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Chapter K - Statistical mechanics recycled

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Chapter L - Noise/quantum corrections

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Chapter S - Solutions

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Chapter T - Projects

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svn: $Author: predrag $ --- $Date: 2008-06-27 04:24:51 -0400 (Fri, 27 Jun 2008) $