000			08788nam a2200253 i 4500
008			930608t19931993si a b 000 0 eng d
020			_a9810209754
040			_aNRL _beng _cNRL _dUtOrBLW _erda
049			_aBAUN_MERKEZ
050	0	4	_aQC174.17.P7 _bM36 1993
245	0	4	_aThe Many-body problem : _ban encyclopedia of exactly solved models in one dimension / _cedited by Daniel C. Mattis
264		1	_aSingapore ; _aRiver Edge, NJ : _bWorld Scientific, _c[1993]
264		4	_c©1993
300			_axxiii, 958 pages : _billustrations ; _c26 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references
505	0	0	_t-- Contents _t Preface _t Acknowledgements _t Note to the Reader _tCh. 1 Classical Statistical Mechanics _t A Simple Method for Treating the Statistical Mechanics of One-Dimensional Substances _r/ H. Takahashi _t Sur l'Integrale de Configuration pour les Systemes de Particules a Une Dimension _r/ L. van Hove _t Exact Partition Functions for some One-Dimensional Models via the Isobaric Ensemble _r/ M. Bishop, M. A. Boonstra _t Molecular Distribution Functions in a One-Dimensional Fluid _r/ Z. W. Salsburg, R. W. Zwanzig, J. G. Kirkwood _t Certain General Order-Disorder Models in the Limit of Long-Range Interactions _r/ G. A. Baker, Jr. _t On the van der Waals Theory of the Vapor-Liquid Equilibrium, I. Discussion of a One-Dimensional Model _r/ M. Kac, G. E. Uhlenbeck, P. C. Hemmer _t On the van der Waals Theory of the Vapor-Liquid Equilibrium, III. Discussion of the Critical Region _r/ P. C. Hemmer, M. Kac, G. E. Uhlenbeck _t Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces _r/ A. Lenard _t One-Dimensional Plasma Model at Thermodynamic Equilibrium _r/ O. C. Eldridge, M. Feix _t Statistical Mechanics of a One-Dimensional Coulomb System with a Uniform Charge Background _r/ R. J. Baxter _tCh. 2 Spectrum of Disordered and/or Anharmonic Chains of Oscillators _t The Dynamics of a Disordered Linear Chain _r/ F. J. Dyson _t Disordered One-Dimensional Crystals _r/ H. Schmidt _t Special Frequencies in the Vibrational Spectra of Disordered Chains _r/ H. Matsuda _t Some Exact Results for the Vibrational Spectrum of a Disordered Chain _r/ R. E. Borland _t Structure of the Spectra of Disordered Systems, I. Fundamental Theorems _r/ J. Hori, H. Matsuda _t The Vibrational Spectrum of a Disordered Linear System _r/ R. L. Agacy _t Vibrations of Glass-Like Disordered Chains _r/ P. Dean _t Vibrations of a Chain with Nonlinear Interaction _r/ M. Toda _t Wave Propagation in Anharmonic Lattices _r/ M. Toda _t A Soliton and Two Solitons in an Exponential Lattice and Related Equations _r/ M. Toda, M. Wadati _t Integrals of the Toda Lattice _r/ M. Henon _t The Toda Lattice, II. Existence of Integrals _r/ H. Flaschka _t Solution of a Three-Body Problem in One Dimension _r/ F. Calogero _t Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials _r/ F. Calogero _t A Brief History of the Quantum Soliton with New Results on the Quantization of the Toda Lattice _r/ B. Sutherland _tCh. 3 Electron Energy Bands in Ordered and Disordered "Crystals" _t The Approximate Solution of One-Dimensional Wave Equations _r/ C. Eckart _t Quantum Mechanics of Electrons in Crystal Lattices _r/ R. de L. Kronig, W. G. Penney _t New Soluble Energy Band Problem _r/ F. L. Scarf _t Energy Bands and Wave Functions in Periodic Potentials _r/ H. M. James _t Wave Propagation in One-Dimensional Structures _r/ J. M. Luttinger _t Analytic Properties of Bloch Waves and Wannier Functions _r/ W. Kohn _t A Theory of the Electrical Breakdown of Solid Dielectrics _r/ C. Zener _t Electron Levels in a One-Dimensional Random Lattice _r/ H. L. Frisch, S. P. Lloyd _t Existence of Energy Gaps in One-Dimensional Liquids _r/ R. E. Borland _t The Electronic Structure of a One-Dimensional Random Alloy _r/ R. L. Agacy, R. E. Borland _t Existence of Energy Gaps in the Spectrum of a One-Dimensional Atomic Chain _r/ L. Dworin _t Saxon-Hutner Theorem for One-Dimensional General Alloys _r/ B. Y. Tong, S. Y. Tong _t Short-Range versus Long-Range Order in a Model Binary Alloy _r/ M. Plischke, D. C. Mattis _t The Statistics of One-Dimensional Resistances _r/ P. D. Kirkman, J. B. Pendry _t Exact Solution of a Nonlinear Eigenvalue Problem _r/ F. J. Romeiras, G. Rowlands _tCh. 4 The Many-Fermion Problem _t Remarks on Bloch's Method of Sound Waves Applied to Many-Fermion Problems _r/ S. Tomonoga _t Exact Solution of a Many-Fermion System and its Associated Boson Field _r/ D. C. Mattis, E. H. Lieb _t Tomonaga's Model and the Threshold Singularity of X-Ray Spectra of Metals _r/ K. D. Schotte, U. Schotte _t New Wave-Operator Identity Applied to the Study of Persistent Currents in 1D _r/ D. C. Mattis _t Conductivity of One-Dimensional Interacting Fermions _r/ D. C. Mattis _t Backward Scattering in the One-Dimensional Electron Gas _r/ A. Luther, V. J. Emery _t Calculation of Critical Exponents in Two Dimensions from Quantum Field Theory in One Dimension _r/ A. Luther, I. Peschel _t Generalization of the Landau Liquid Concept: Example of the Luttinger Liquids _r/ J. Carmelo, A. A. Ovchinnikov _t Structure and Solution of the Massive Thirring Model _r/ H. Bergknoff, H. B. Thacker _t One-Dimensional Backward-Scattering Fermion Model with Built-In Cutoff _r/ S. Rudin _t Strange Solutions to Field Theories in One Spatial Dimension _r/ D. C. Mattis, B. Sutherland _t Some Exact Results for the Many-Body Problem in One Dimension with Repulsive Delta-Function Interaction _r/ C. N. Yang _t S Matrix for the One-Dimensional N-Body Problem with Repulsive or Attractive [delta]-Function Interaction _r/ C. N. Yang _t Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension _r/ E. H. Lieb, F. Y. Wu _t Theory of Ferromagnetism and the Ordering of Electronic Energy Levels _r/ E. H. Lieb, D. C. Mattis _t Magnetic Properties of Some Itinerant-Electron Systems at T > 0 _r/ M. Aizenman, E. H. Lieb _t One-Dimensional Plasma as an Example of a Wigner Solid _r/ B. Sutherland _t Soliton Excitations in Polyacetylene _r/ W. P. Su, J. R. Schrieffer, A. J. Heeger _t Solitons with Fermion Number 1/2 in Condensed Matter and Relativistic Field Theories _r/ R. Jackiw, J. R. Schrieffer _tCh. 5 The Bose Gas _t Exact Analysis of an Interacting Bose Gas, I. The General Solution and the Ground State _r/ E. H. Lieb, W. Liniger _t Exact Analysis of an Interacting Bose Gas, II. The Excitation Spectrum _r/ E. H. Lieb _t Momentum Distribution in the Ground State of the One-Dimensional System of Impenetrable Bosons _r/ A. Lenard _t One-Dimensional Impenetrable Bosons in Thermal Equilibrium _r/ A. Lenard _t Study of Exactly Soluble One-Dimensional N-Body Problems _r/ J. B. McGuire _t Quantum Critical Phenomena in One-Dimensional Bose Systems _r/ G. G. Batrouni, R. T. Scalettar, G. T. Zimanyi _t Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction _r/ C. N. Yang, C. P. Yang _tCh. 6 Magnetism _t On the Theory of Metals, I. Eigenvalues and Eigenfunctions of a Linear Chain of Atoms (English Translation) _r/ H. Bethe _t Linear Magnetic Chains with Anisotropic Coupling _r/ J. C. Bonner, M. E. Fisher _t Magnetization Curve at Zero Temperature for the Antiferromagnetic Heisenberg Linear Chain _r/ R. B. Griffiths _t What is the Spin of a Spin Wave? _r/ L. D. Faddeev, L. A. Takhtajan _t A Survey of Results for the 1-D Heisenberg Magnets _r/ J. D. Johnson _t Two Soluble Models of an Antiferromagnetic Chain _r/ E. Lieb, T. Schultz, D. Mattis _t Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Neel State _r/ F. D. M. Haldane _t Comment on "Ground State Properties of a Spin-1 Antiferromagnetic Chain" _r/ D. C. Mattis _t Rigorous Results on Valence-Bond Ground States in Antiferromagnets _r/ I. Affleck, T. Kennedy, E. H. Lieb, H. Tasaki _t Quantum Spin Chains and the Haldane Gap _r/ I. Affleck _tCh. 7 Time-Dependent Phenomena and the Approach to Equilibrium _t Studies of Nonlinear Problems. I _r/ E. Fermi, J. Pasta, S. Ulam, M. Tsingou _t The Fermi-Pasta-Ulam Problem: Paradox Turns Discovery _r/ J. Ford _t Statistical Mechanics of Assemblies of Coupled Oscillators _r/ G. W. Ford, M. Kac, P. Mazur _t Korteweg-de Vries Equation and Generalizations, VI. Methods for Exact Solution _r/ C. S. Gardner, J. M. Greene, M. D. Kruskal, R. M. Miura
650		0	_aMany-body problem
700	1		_aMattis, Daniel Charles, _d1932-
900			_a2386
942			_2lcc _cKT
999			_c3413 _d3413