Encyclopedia of Mathematical Physics, Հատոր 4Jean-Pierre Françoise, Gregory L. Naber, Sheung Tsun Tsou Elsevier, 2006 - 673 էջ The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. |
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290 | 1 |
Algebraic Topology | 2 |
593 | 7 |
Deformation Quantization and Representation Theory S Waldmann | 9 |
Deformation Theory M J Pflaum | 16 |
Penrose Inequality see Geometric Flows and the Penrose Inequality | 21 |
Deformations of the Poisson Bracket on a Symplectic Manifold S Gutt and S Waldmann | 24 |
VOLUME 5 | 27 |
FiniteDimensional Algebras and Quivers A Savage | 313 |
333 | 314 |
An Introduction 3449 | 315 |
TwoDimensional Conformal Field Theory and Vertex Operator Algebras MR Gaberdiel | 317 |
Liquid Crystals OD Lavrentovich | 320 |
Quivers see FiniteDimensional Algebras and Quivers | 322 |
Boundaries for Spacetimes SG Harris | 326 |
Finite Weyl Systems DM Schlingemann | 328 |
Differential Geometry S Paycha | 33 |
Diagrammatic Techniques in Perturbation | 36 |
Electromagnetism NM J Woodhouse | 40 |
Derived Categories ER Sharpe | 41 |
623 | 46 |
Determinantal Random Fields A Soshnikov | 47 |
Equilibrium Statistical Mechanics G Gallavotti | 51 |
Phase Transitions in Continuous Systems | 53 |
Diagrammatic Techniques in Perturbation Theory G Gentile | 54 |
237 | 59 |
PointVortex Dynamics | 60 |
Dimer Problems R Kenyon | 61 |
Dirac Fields in Gravitation and Nonabelian Gauge Theory JA Smoller | 67 |
Dirac Operator and Dirac Field SNM Ruijsenaars | 74 |
Poisson Lie Groups see Classical rMatrices Lie Bialgebras and Poisson Lie Groups | 79 |
Graded Poisson Algebras | 84 |
Dispersion Relations J Bros | 87 |
Functional Analysis S Paycha | 88 |
PseudoRiemannian Nilpotent Lie Groups | 94 |
Minkowski Spacetime and Special Relativity GL Naber | 96 |
Dissipative Dynamical Systems of Infinite Dimension M Efendiev S Zelik and A Miranville | 101 |
Quantum Mechanics G F dellAntonio | 109 |
Location references refer to the volume number and page number separated by a colon | 110 |
609 | 111 |
Quantum 3Manifold Invariants | 117 |
Duality in Topological Quantum Field Theory C Lozano and J M F Labastida | 118 |
Quantum Gravity | 122 |
Interacting Particle Systems and Hydrodynamic Equations C Landim | 123 |
Dynamical Systems and Thermodynamics A Carati L Galgani and A Giorgilli | 125 |
Interacting Stochastic Particle Systems H Spohn | 130 |
Topology Tsou Sheung Tsun | 131 |
An Illustration from Water Waves O Goubet | 133 |
Effective Field Theories G Ecker | 139 |
Abelian and Nonabelian Gauge Theories Using Differential Forms A C Hirshfeld | 141 |
Classical Capacity | 142 |
Intermittency in Turbulence J Jiménez | 144 |
Eigenfunctions of Quantum Completely Integrable Systems JA Toth | 148 |
Abelian Higgs Vortices JM Speight | 151 |
Quantum Field Theory | 152 |
Quantum Cosmology | 153 |
Eight Vertex and Hard Hexagon Models PA Pearce | 155 |
Quantum Dynamical Semigroups R Alicki | 159 |
Adiabatic Piston Ch Gruber and A Lesne | 160 |
Exact Solutions Jiří Bičák | 165 |
Ising Model see TwoDimensional Ising Model | 166 |
Initial Value Formulation J Isenberg | 173 |
ADSCFT Correspondence CP Herzog and IR Klebanov | 174 |
Quantum Information and Computation | 177 |
The Jones Polynomial VFR Jones | 179 |
Einstein Manifolds A S Dancer | 182 |
Affine Quantum Groups G W Delius and N MacKay | 183 |
EinsteinCartan Theory A Trautman | 189 |
AharonovBohm Effect M Socolovsky | 191 |
Einsteins Equations with Matter Y ChoquetBruhat | 195 |
Quantum Error Correction and Fault Tolerance | 196 |
Algebraic Approach to Quantum Field Theory R Brunetti and K Fredenhagen | 198 |
Kinetic Equations C Bardos | 200 |
ElectricMagnetic Duality Tsou Sheung Tsun | 201 |
General Relativity | 202 |
Anderson Localization see Localization for Quasiperiodic Potentials | 205 |
Complex Geometry | 208 |
Electroweak Theory K Konishi | 209 |
Arithmetic Quantum Chaos J Marklof | 212 |
Knot Invariants and Quantum Gravity R Gambini and J Pullin | 215 |
Linear Theory C Amrouche M Krbec Š Nečasová and B LucquinDesreux | 216 |
Asymptotic Structure and Conformal Infinity J Frauendiener | 221 |
Entanglement RF Werner | 228 |
Kontsevich Integral S Chmutov and S Duzhin | 231 |
Axiomatic Approach to Topological Quantum Field Theory C Blanchet and V Turaev | 232 |
Entanglement Measures RF Werner | 233 |
Thermohydraulics see Newtonian Fluids and Thermohydraulics | 235 |
Quantum Group Differentials Bundles and Gauge Theory | 236 |
Kortewegde Vries Equation and Other Modulation Equations G Schneider and E Wayne | 239 |
Bäcklund Transformations D Levi | 241 |
Quantum Hall Effect K Hannabuss | 244 |
Mathai | 246 |
BatalinVilkovisky Quantization A C Hirshfeld | 247 |
Ergodic Theory M Yuri | 250 |
Quantum Mechanical Scattering Theory | 251 |
Bethe Ansatz MT Batchelor | 253 |
L | 255 |
Ordinary and Partial Differential | 256 |
Topological Defects and Their Homotopy Classification TW B Kibble | 257 |
Large Deviations in Equilibrium Statistical Mechanics S Shlosman | 261 |
Topological Gravity TwoDimensional T Eguchi | 264 |
Bicrossproduct Hopf Algebras and Noncommutative Spacetime S Majid | 265 |
LargeN Dualities A Grassi | 269 |
156 Physics 5271 | 271 |
Bifurcation Theory M Haragus and G looss | 275 |
Generalizations | 276 |
Overview JM F Labastida and C Lozano | 278 |
LeraySchauder Theory and Mapping Degree J Mawhin | 281 |
FalicovKimball Model Ch Gruber and D Ueltschi | 283 |
Gravitational NBody Problem Classical | 289 |
BiHamiltonian Methods in Soliton Theory M Pedroni | 290 |
Quantum Spin Systems B Nachtergaele | 295 |
Feigenbaum Phenomenon see Universality and Renormalization | 300 |
Overview L Triolo | 302 |
Some Applications L Mason | 303 |
Lie Superalgebras and Their Representations L Frappat | 305 |
Boltzmann Equation Classical and Quantum M Pulvirenti | 306 |
Quasiperiodic Systems P Kramer | 308 |
Twistors KP Tod | 311 |
Classical Conformal and Topological Condensed Matter and Optics | 312 |
Random Dynamical Systems V Araújo | 330 |
Random Matrix Theory in Physics T Guhr | 338 |
Loop Quantum Gravity C Rovelli | 339 |
Boundary Control Method and Inverse Problems of Wave Propagation MI Belishev | 340 |
Universality and Renormalization M Lyubich | 343 |
Growth Processes in Random Matrix Theory | 346 |
Random Partitions A Okounkov | 347 |
FiniteType Invariants of 3Manifolds TT Q Lê | 348 |
Lyapunov Exponents and Strange Attractors M Viana | 349 |
Variational Methods in Turbulence FH Busse | 351 |
Random Walks in Random Environments LV Bogachev | 353 |
Macroscopic Fluctuations and Thermodynamic Functionals G JonaLasinio | 357 |
String Theory and MTheory | 360 |
Variational Techniques for Microstructures G Dolzmann | 363 |
Numerical Methods JL Guermond | 365 |
367 | 367 |
Mathematical Theory J G Heywood | 369 |
Recursion Operators in Classical Mechanics F Magri and M Pedroni | 371 |
Branes and Black Hole Statistical Mechanics SR Das | 373 |
Le Bris | 375 |
FourierMukai Transform in String Theory B Andreas | 379 |
Malliavin Calculus A B Cruzeiro | 383 |
Subfactor Theory Y Kawahigashi | 385 |
BRST Quantization M Henneaux | 386 |
Semiclassical Spectra and Closed Orbits Stationary Phase | 389 |
607 | 391 |
Fractal Dimensions in Dynamics V Županović and D Žubrinić | 394 |
Mathematical Knot Theory L Boi | 399 |
CalogeroMoserSutherland Systems of Nonrelativistic and Relativistic Type SNM Ruijsenaars | 403 |
Matrix Product States see Finitely Correlated States | 407 |
Application to Turbulence M Farge and K Schneider | 408 |
Variational Techniques | 411 |
Measure on Loop Spaces H Airault | 413 |
Resonances N Burq | 415 |
Capacities Enhanced by Entanglement P Hayden | 418 |
Minimal Submanifolds TH Colding and W P Minicozzi II | 420 |
Frobenius Manifolds see WDVV Equations and Frobenius Manifolds | 425 |
Mathematical Theory K Schneider and M Farge | 426 |
RiemannHilbert Methods in Integrable Systems D Shepelsky | 429 |
Capillary Surfaces R Finn | 431 |
Minimax Principle in the Calculus of Variations A Abbondandolo | 432 |
436 | 436 |
WDVV Equations and Frobenius Manifolds B Dubrovin | 438 |
A Geometric Survey RP Thomas | 439 |
Riemannian Holonomy Groups and Exceptional | 441 |
Cartan Model see Equivariant Cohomology and the Cartan Model | 446 |
Saddle Point Problems M Schechter | 447 |
Weakly Coupled Oscillators E M Izhikevich and Y Kuramoto | 448 |
TConvergence and Homogenization G Dal Maso | 449 |
Fundamental Concepts and Tools D Buchholz | 456 |
Multicomponent Fluids see Interfaces and Multicomponent Fluids | 459 |
Wightman Axioms see Axiomatic Quantum Field Theory | 462 |
Gauge Theories from Strings P Di Vecchia | 463 |
Multiscale Approaches A Lesne | 465 |
Central Manifolds Normal Forms P Bonckaert | 467 |
Scattering Asymptotic Completeness and Bound States D lagolnitzer and J Magnen | 475 |
Experimental Tests CM Will | 481 |
Negative Refraction and Subdiffraction Imaging S OBrien and S A Ramakrishna | 483 |
Schrödinger Operators V Bach | 487 |
Characteristic Classes PB Gilkey R Ivanova and S Nikčević | 488 |
Newtonian Fluids and Thermohydraulics G Labrosse and G Kasperski | 492 |
Generic Properties of Dynamical Systems C Bonatti | 494 |
Newtonian Limit of General Relativity J Ehlers | 503 |
Noncommutative Geometry and the Standard Model T Schücker | 509 |
Geometric Flows and the Penrose Inequality H Bray | 510 |
Classical rMatrices Lie Bialgebras and Poisson Lie Groups MA SemenovTianShansky | 511 |
Semiclassical Approximation see Stationary Phase Approximation Normal Forms | 512 |
Noncommutative Geometry from Strings ChongSun Chu | 515 |
RELATED MATHEMATICS | 517 |
518 | 518 |
Noncommutative Tori YangMills and String Theory A Konechny | 524 |
Separation of Variables for Differential | 526 |
Geometric Phases P Lévay | 528 |
Overview G Gallavotti | 530 |
Cluster Expansion R Kotecký | 531 |
Separatrix Splitting D Treschev | 535 |
Dynamical Systems Approach P Buttà and C Marchioro | 540 |
Cohomology Theories U Tillmann | 545 |
Compact Manifolds A Huckleberry and T Peternell | 551 |
Nonlinear Schrödinger Equations MJ Ablowitz and B Prinari | 552 |
Shock Wave Refinement of the Friedman | 559 |
NonNewtonian Fluids C Guillopé | 560 |
Nonperturbative and Topological Aspects of Gauge Theory R W Jackiw | 568 |
Shock Waves see Symmetric Hyperbolic Systems and Shock Waves | 570 |
Compact Groups and Their Representations A Kirillov and A Kirillov Jr | 576 |
Normal Forms and Semiclassical Approximation D Bambusi | 578 |
Singularities of the Ricci Flow M Anderson | 584 |
NParticle Quantum Scattering DR Yafaev | 585 |
Stochastic Methods | 586 |
Nuclear Magnetic Resonance PT Callaghan | 592 |
Mathematical Theory GQ Chen | 595 |
212 | 600 |
Operads J Stasheff | 609 |
Operator Product Expansion in Quantum Field Theory H Osborn | 616 |
Spacetime Topology Causal Structure | 617 |
Spinors and Spin Coefficients | 623 |
Optimal Cloning of Quantum States M Keyl | 628 |
Ordinary Special Functions W Van Assche | 637 |
Holomorphic Dynamics M Lyubich | 645 |
Lie Groups and Lie Algebras | 646 |
Mathematics | 657 |
65 | 663 |
311 | 669 |
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Encyclopedia of Mathematical Physics, Հատոր 4 Jean-Pierre Françoise,Gregory L. Naber,Sheung Tsun Tsou Դիտել հնարավոր չէ - 2006 |