Physics in One Dimension

I. Introductory Lecture.- How to Reduce Practically Any Problem to One Dimension.- II. Solitons.- An Overview of Soli ton Mathematics.- Statistical Mechanics of Soli tons.- The Quantum Inverse Scattering Method and Applications to Spin Chains.- Bethe Ansatz, Connection Between One-Dimensional Models and Their Classification.- Quantum Statistics of Soli tons.- Classical Statistical Mechanics of Soliton-Bearing Systems.- Multistable Driven Systems.- Inherent Effects of Discretization in an Interacting Kink-Phonon System.- Ising Models, Solitons, and the Devil's Staircase.- III. Magnetic Chains.- Quantum Spin Chains.- Dynamic Correlations in Classical Heisenberg Chains.- Dynamics of One-Dimensional Magnets: Neutron Scattering Studies.- Solitons in One-Dimensional Magnets with Various Symmetries.- A Comparison of Static and Dynamic Properties of One-Dimensional Magnets and Corresponding sG Systems.- Evidence for Soliton Excitations in the One-Dimensional Antiferromagnet TMMC.- Quantum Effects in the Dynamics of the One-Dimensional Planar Antiferromagnet.- Ground-State and Local Excitations in Co(PYR)2Cl2.- New High-Field Phenomena in Spin-Peierls Systems.- IV. Polymers.- Solitons in Polyacetylene: A Summary of Experimental Results.- Magnetic Resonance Studies of Soliton Diffusion in Polyacetylene.- Theory of Polymers Having Broken Symmetry Ground States.- Attracting Solitons and a First Order Lock-In Transition: Metallic Polyacetylene and the Spin-Peierls System.- Polyacetylene Revisited.- Magnetic Behavior of Polyacetylene, Polyparaphenylene and Polypyrrole.- Static and Dynamic Susceptibilities of Magnetic Polymers.- V. Quasi-One Dimensional Conductors.- Structural Ordering in Quasi-One-Dimensional Systems.- One-Dimensional Metals: Theory versus Experiment.- ElectronicInstabilities in Quasi-One-Dimensional Conductors: Insulator or Superconductor?.- Non-Linear Transport in the Fröhlich Mode Conductor, NbSe3.- VI. Disorder and Localization.- Lattice Dynamics and Spectral Properties of Disordered Chains.- Excitation Dynamics in Random One-Dimensional Systems.- Random Exchange Spin Chains.- Universality in Quantum Random Magnetic Chains.- Localization in One Dimension.- Localization in Thin Wires.- Transport Quantities in One-Dimensional Disordered Systems.- VII. Superionic Conductors, Coulomb Systems, Molecular Systems and Fractals.- One-Dimensional Superionic Conductors.- One-Dimensional Coulomb Systems.- Exciton Dynamics in Quasi-One-Dimensional Molecular Systems.- Critical Phenomena and Fractals with Dimensionality Near 1.- Index of Contributors.