On Three Levels: Micro-, Meso-, and Macro-Approaches in Physics: v. 324 (NATO Science Series B: Physics) - Hardcover

 
9780306447044: On Three Levels: Micro-, Meso-, and Macro-Approaches in Physics: v. 324 (NATO Science Series B: Physics)
Hardcover
ISBN 10: 0306447045 ISBN 13: 9780306447044
Verlag: Springer, 1994

Inhaltsangabe

Quantum Kinetic Equations; H. Spohn. Microscopic Derivation of Hydrodynamics with Phase Transition in a Plasma Model; G.L. Sewell. Ferromagnetism in Itinerant Electron Systems; H. Tasaki. Homogeneity in the Ground State of the Two-Dimensional Falicov-Kimabll Model; T. Kennedy. Diffusive Limit of the Asymmetric Simple Exclusion; R. Esposito, et al. Weak Coupling Limit; L.J. Landau. Limit Laws for Recurrence Times in Expanding Maps of an Interval; P. Collet. Stochastic Geometric Aspects of Some Quantum Spin Chains; B. Nachtergaele. The Species Totally Asymmetric Simple Exclusion Process; E.R. Speer. How to Reconstruct a Heat Bath; B. Kümmerer. Interacting Particle Systems on Non-Commutative Spaces; T. Matsui. Non-Self-Averaging Effects in Sums of Random Variables, Spin Glasses, Random Maps, and Random Walks; B. Derrida. Quantum Adiabatic Evolution; A. Joye, C.E. Pfister. 48 additional articles. Index.

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Reseña del editor

Proceedings of a workshop in Leuven, Belgium, in July 1993. Topics include quantum kinetic equations, microscopic derivation of hydrodynamics with phase transition in a plasma model, Feynman diagrams of the weak coupling limit, stochastic geometric aspects of some quantum spin chains, the two specie

Biografía del autor

Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index

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Verlag
Springer
Erscheinungsdatum
1994
Sprache
Englisch
ISBN 10 
0306447045
ISBN 13 
9780306447044
Einband
Tapa dura
Anzahl der Seiten
496
Herausgeber
Verbeure Andre, Maes Christan, Fannes Mark
Kontakt zum Hersteller
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