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Topological quantum numbers in nonrelativistic physics

Auteur : D J Thouless
Éditeur: Singapore ; River Edge, N.J. : World Scientific, ©1998.
Édition/format:   Livre imprimé : AnglaisVoir toutes les éditions et tous les formats
Résumé:
Quantum numbers due to symmetry and topological quantum numbers. Quantization of electric charge. Superconductivity and flux quantization.
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Type d’ouvrage: Ressource Internet
Type de document: Livre, Ressource Internet
Tous les auteurs / collaborateurs: D J Thouless
ISBN: 9810229003 9789810229009 9810230257 9789810230258
Numéro OCLC: 38431218
Description: xii, 426 pages : illustrations ; 27 cm
Contenu: 1. Introduction --
2. Quantization of Electric Charge --
3. Circulation and Vortices in Superfluid [superscript 4]He --
4. Superconductivity and Flux Quantization --
5. Josephson Effects --
6. Superfluid [superscript 3]He --
7. The Quantum Hall Effect --
8. Solids and Liquid Crystals --
9. Topological Phase Transitions --
Principles of a Classification of Defects in Ordered Media / G. Toulouse and M. Kleman --
Investigation of Singularities in Superfluid He and Liquid Crystals by Homotopic Topology Methods / G.E. Volovik and V.P. Mineev --
Quantization of Electric Charge --
Quantised Singularities in the Electromagnetic Field / P.A.M. Dirac --
Significance of Electromagnetic Potentials in the Quantum Theory / Y. Aharonov and D. Bohm --
Circulation and Vortices in Superfluid [superscript 4]He --
Nuovo Cimento 6 / L. Onsager --
The Detection of Single Quanta of Circulation in Liquid Helium II / W.F. Vinen --
Evidence for the Creation and Motion of Quantized Vortex Rings in Superfluid Helium / G.W. Rayfield and F. Reif --
Observation of Stationary Vortex Arrays in Rotating Superfluid Helium / E.J. Yarmchuk, M.J.V. Gordan and R.E. Packard --
Transverse Force on a Quantized Vortex in a Superfluid / D.J. Thouless, P. Ao and Q. Niu --
Superconductivity and Flux Quantization --
Theoretical Considerations Concerning Quantized Magnetic Flux in Superconducting Cylinders / N. Byers and C.N. Yang. Experimental Evidence for Quantized Flux in Superconducting Cylinders / B.S. Deaver, Jr. and W.M. Fairbank --
Experimental Proof of Magnetic Flux Quantization in a Superconducting Ring / R. Doll and M. Nabauer --
Flux Quantization in a High-T[subscript c] Superconductor / C.E. Gough, M.S. Colclough and E.M. Forgan --
Josephson Effects --
Possible New Effects in Superconductive Tunnelling / B.D. Josephson --
Quantum Interference from a Static Vector Potential in a Field-Free Region / R.C. Jaklevic, J.J. Lambe and A.H. Silver --
Josephson Currents in Superconducting Tunnelling: The Effect of Microwaves and Other Observations / S. Shapiro --
Comments on Quantum-Electrodynamic Corrections to the Electron Charge in Metals / D.N. Langenberg and J.R. Schrieffer --
High-Precision Test of the Universality of the Josephson Voltage-Frequency Relation / J.S. Tsai, A.K. Jain and J.E. Lukens --
Superfluid [superscript 3]He --
Phase Slippage without Vortex Cores: Vortex Textures in Superfluid [superscript 3]He / P.W. Anderson and G. Toulouse --
NMR Signatures of Topological Objects in Rotating Superfluid [superscript 3]He-A / V.M.H. Ruutu, U. Parts and M. Krusius --
Surface Singularities and Superflow in [superscript 3]He-A / N.D. Mermin --
The Quantum Hall Effect --
New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance / K. v. Klitzing, G. Dorda and M. Pepper. Direct Comparison of the Quantized Hall Resistance in Gallium Arsenide and Silicon / A. Hartland, K. Jones and J.M. Williams --
Quantized Hall Conductivity in Two Dimensions / R.B. Laughlin --
Quantization of the Hall Conductance for General, Multiparticle Schrodinger Hamiltonians / J.E. Avron and R. Seiler --
Topological Invariant and the Quantization of the Hall Conductance / M. Kohmoto --
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations / R.B. Laughlin --
Fractional Quantum Hall Effect and Multiple Aharonov-Bohm Periods / D.J. Thouless and Y. Gefen --
Classification of Abelian Quantum Hall States and Matrix Formulation of Topological Fluids / X.G. Wen and A. Zee --
Solids and Liquid Crystals --
Relationship between Burgers Circuit, Volterra Process and Homotopy Groups / M. Kleman --
Spontaneous Breaking of Euclidean Invariance and Classification of Topologically Stable Defects and Configurations of Crystals and Liquid Crystals / M. Kleman and L. Michel --
The Crossing of Defects in Ordered Media and the Topology of 3-Manifolds / V. Poenaru and G. Toulouse --
Topological Phase Transitions --
Ordering, Metastability and Phase Transitions in Two-Dimensional Systems / J.M. Kosterlitz and D.J. Thouless --
Universal Jump in the Superfluid Density of Two-Dimensional Superfluids / D.R. Nelson and J.M. Kosterlitz --
The Critical Properties of the Two-Dimensional xy Model / J.M. Kosterlitz. Study of the Superfluid Transition in Two-Dimensional [superscript 4]He Films / D.J. Bishop and J.D. Reppy --
Theory of Two-Dimensional Melting / B.I. Halperin and D.R. Nelson --
Possibility of Vortex-AntiVortex Pair Dissociation in Two-Dimensional Superconductors / M.R. Beasley, J.E. Mooij and T.P. Orlando --
Topological Excitations in Two-Dimensional Superconductors / S. Doniach and B.A. Huberman --
Critical-Exponent Measurements of a Two-Dimensional Superconductor / A.F. Hebard and A.T. Fiory --
Melting of Two-Dimensional Vortex Lattices / B.A. Huberman and S. Doniach.
Responsabilité: David J. Thouless.

Résumé:

This text describes the theory of topological quantum numbers, starting with Dirac's argument for the quantization of electric charge, and continuing with discussions on the helium superfluids, and  Lire la suite...

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