Frontiers of High-Pressure Research - NATO Science Series B 1991 edition

Marc Notes: Proceedings of a NATO Advanced Research Workshop on Frontiers of High-Pressure Research, held July 15-18, 1991, in Fort Collins, Colorado--T.p. verso.; Published in cooperation with NATO Scientific Affairs Division.; Includes bibliographical references and index. Table of Contents: Polymers and Low Dimensional Systems: Polymers Under Pressure; W. Pechhold. Ion Transport Mechanisms in Polymer Electrolytes at Normal and High Pressuree; BE. Mellander, et al. Molecular Crystals, Liquids and Pressure Induced Phase Transitions: Solid Hydrogen at Ultra High Pressure; I. F. Silvera. Dense Hydrogen and Its States of Order; N. Ashcroft. Elastic Properties of Rare GasSolids; A. Polian. Quantum Wells and Semiconductors: Enhanced Stability of Heterostructures Under Pressure; B. A. Weinstein; et al. 2D Transport in Semiconductors Under Pressure; J. L. Robert. High Temperature Superconductors: High Pressure Study of High Temperature Superconductors; C. W. Chu, et al. Light Scattering in High Tc Superconductors; E. Liarokapis. 32 additional articles. Index. Publisher Marketing: The role of high pressure experiments in the discovery of supercon ducting materials with a T. above liquid nitrogen temperature has demon strated the importance of such experiments. The same role holds true in the tailoring of materials for optoelectronic devices. In addition, much progress has been made recently in the search for metallic hydro gen, and the application of high pressure in polymer research has brought forth interesting results. These facts together with the suc cess of previous small size meetings (such as the "First International Conference on the Physics of Solids at High Pressure," held in 1965 in Tucson, Arizona, U. S. A.; "High Pressure and Low Temperature Physics," held in 1977 in Cleveland, Ohio, U. S. A.; and "Physics of Solids Under High Pressure," held in 1981 in bad Honnef, Germany), motivated us to organize a workshop with emphasis on the newest results and trends in these fields of high pressure research. Furthermore, it was intended to mix experienced and young scien tists to realize an idea best expressed in a letter by Prof. Weinstein: "I think it is an excellent idea. I have often felt that the number of excellent young researchers in the high pressure field need an opportu nity to put forward their work with due recognition. " Thanks to the support of the key speakers, we were able to achieve this goal and had more than 50\ young participants."

Contributor Bio:  North Atlantic Treaty Organization 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