TY - BOOK AU - Thouless, D. J. AU - Thouless, D. J. TI - Topological quantum numbers in nonrelativistic physics SN - 9789810230258 U1 - 530.143 THO PY - 2016/// CY - N.J. PB - : World Scientific KW - Physics KW - Quantum field theory KW - Mathematical physics KW - Champs, Théorie quantique des. KW - Physique mathématique KW - Topologische Quantenzahl KW - 33.51 quantum field theory N1 - 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 N2 - Quantum numbers due to symmetry and topological quantum numbers. Quantization of electric charge. Superconductivity and flux quantization ER -