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ANYON PHYSICS (PhD, Wilczek)

Lecture Topic : (Math Physics) ANYON PHYSICS (PhD, Wilczek)

Prerequisites : Quantum Mechanics (M2); Quantum Field Theory (M2); Statistical Mechanics (M1);

Recommended Text(s) :

“Fractional Statistics and Anyon Superconductivity”, Frank Wilczek, World Scientific,  , 1990.

Approx price new on Amazon.com : $52

Approx price second hand on Amazon.com : $36

Availability free on eMule.com : Yes

eMule search key word(s) : Wilczek, Fractional Statistics

Lectures and Links :

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Lecture 1  (link)

Ch.1   Transmutation and Fractionization of Angular Momentum

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Lecture 2  (link)

Ch.2   Fractional Statistics, Trajectory Space and the Braid Group

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Lecture 3  (link)

Ch.3   Fictitious Field Construction, and Quantum Mechanical Examples

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Lecture 4 (link)

Ch.4   Aharanov-Bohm Scattering and its Implications

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Lecture 5  (link)

Ch.5   Hopf Term

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Lecture 6  (link)

Ch.6   Local  Field Theory, Chern-Simons Construction

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Lecture 7  (link)

Ch.7  BerryPhase and Anyons in the Quantized Hall Effect

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Lecture 8  (link)

Ch.8   Induced Quantum Numbers

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Lecture 9  (link)

Ch.9   Boundary and Coboundary

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Lecture 10  (link)

Ch.10   The Definition of Anyons

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Lecture 11  (link)

Ch.11   Average Field Theory

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Lecture 12  (link)

Ch.12   Anyon Superconductivity : Basic Mechanism

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Lecture 13  (link)

Ch.13   Anyon Superconductivity : Phenomenology

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Lecture 14  (link)

Ch.14   Adiabatic Principle

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Lecture 15  (link)

Ch.15   More Superconducting States

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Lecture 16  (link)

Ch.16   Quantized Hall States

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Lecture 17  (link)

Ch.17   Anyon Metal

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Lecture 18  (link)

Ch.18   Microscopic Origins

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Lecture 19  (link)

Ch.19   Conclusions

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Lecture 20  (link)

Ch.20   Connection between Spin, Statistics, and Kinks

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Lecture 21  (link)

Ch.21   Significance of Electromagnetic Potentials in the Quantum Theory

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Lecture 22  (link)

Ch.22   On the Theory of Identical Particles

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Lecture 23  (link)

Ch.23   Fractional Quantum Numbers on Solitons

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Lecture 24  (link)

Ch.24   Magnetic Flux, Angular Momentum, and Statistics

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Lecture 25  (link)

Ch.25   Quantum Mechanics of Fractional-Spin Particles

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Lecture 26  (link)

Ch.26   Statistical Mechanics of Anyons

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Lecture 27  (link)

Ch.27   General Theory for Quantum Statistics in Two Dimensions

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Lecture 28  (link)

Ch.28  Are Cyons Really Anyons?

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Lecture 29  (link)

Ch.29  Field Corrections in Induced Statistics

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Lecture 30  (link)

Ch.30   Quantum Field Theory of Anyons

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Lecture 31  (link)

Ch.31   Fermi-Bose Transmutations Induced by Gauge Fields

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Lecture 32  (link)

Ch.32   Linking Numbers, Spin, and Statistics of Solitons

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Lecture 33  (link)

Ch.33   Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three Dimensions

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Lecture 34  (link)

Ch.34   Induced Quantum Numbers in Some 2+1 Dimensional Models

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Lecture 35  (link)

Ch.35   Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States

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Lecture 36  (link)

Ch.36   Fractional Statistics and the Quantum Hall Effect

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Lecture 37  (link)

Ch.37   Off-Diagonal Long-Range Order, Oblique Confinement, and the Fractional Quantum Hall Effect

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Lecture 38  (link)

Ch.38   Fractional Statistics in the  Quantum Hall Effect

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Lecture 39  (link)

Ch.39  Equivalence of the Resonating-Valence-Bond and Fractional Quantum Hall States

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Lecture 40  (link)

Ch.40   ChiralSpinStatesand Superconductivity

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Lecture 41  (link)

Ch.41   The Relationship between High-Temperature Superconductivity and the Fractional Quantum Hall Effect

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Lecture 42  (link)

Ch.42   Superconducting Ground State of Noninteracting Particles Obeying Fractional Statistics

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Lecture 43  (link)

Ch.43   Random-Phase Approximation in the Fractional-Statistics Gas

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Lecture 44  (link)

Ch.44   On Anyon Superconductivity

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Lecture 45  (link)

Ch.45   Anyons, the Quantum Hall Effect and Two-Dimensional Superconductivity

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Lecture 46  (link)

Ch.46   Anyon Superconductivity and the Fractional Quantum Hall Effect

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Lecture 47  (link)

Ch.47   Boson-Vortex-Skyrmion Duality, Spin-Singlet Fractional Quantum Hall Effect, and Spin ½ Anyon Superconductivity

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Lecture 48  (link)

Ch.48   Fractional Statistics on a Torus

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