S Roth

Atomic and Molecular Wires: Proceedings of the Nato Advanced Research Workshop, Les Houches, France, 6-10 May 1996 - Nato Science Series E: S Roth

Marc Notes: Published in cooperation with NATO Scientific Affairs Division.; Proceedings of the NATO Advanced Research Workshop on Atomic and Molecular Wires, Les Houches, France, 6-10 May, 1996--T.p. verso.; Includes bibliographical references and index. Table of Contents: Preface. Atomic Wires. Self Assembling of Metal Lines on Metal Surfaces; J. P. Bucher. Self-Assembled Single Atom Wide Metal Lines on Si(001) Surfaces; J. Nogami. Atomic Depassivation and Metallization of the Si(100)-2x1: H Surface; T.-C. Shen, et al. Controlled Manipulation of Atoms and Molecules and Formation of Nanostructures with the Scanning Tunneling Microscope; G. Meyer, et al. Molecular Wires. Organic Molecular Wires: Theoretical Analysis of the Electronic Coupling to Metal Electrodes and of the Influence of Derivatization; J. L. Bredas, et al. Synthesis for Molecular Electronics: Rigid Rods and Discs; K. Mullen, et al. Synthesis of Molecular Scale Wires and Alligator Clips; D. L. Pearson, et al. Synthesis of Conjugated Ladder Oligomers; A. Gourdon. Synthesis of Nanowires Encapsulated in Carbon Nanotubes by the Arc Discharge Method; H. Pascard. Contacting the Wire: Planar Junction. Molecular Rectification; S. Roth, et al. Nanopatterning of Conducting Polymers and Conductivity Measurements with Nanometer-Spaced Electrodes; S. H. M. Persson, et al. Towards Electrical Transport on Single Molecules. First Results on Nanofabrication and Phthalocyanine Polymers; C. Dekker, et al. Co-Planar Nanojunction to Connect a Single Molecule; V. Rousset, et al. Conductance Quantization in Metallic Nanocontacts: Experimental Results and Novel Theoretical Aspects; N. Garcia, et al. Contacting the Wire: STM Junction. Electrical Resistance of One or Two Atoms; A. Yazdani, et al. Contacting Molecular Nanostructures. Molecular Mechanics, Charge Transfer, and Transport Properties; T. A. Jung, et al. Computation of Electrostatic Fields Around Carbon Tubules Biased by an STM Junction; Ch. Girard, et al. A Proposal of Atom Electronics Based on Atom/Molecule Switching Devices; Y. Wada. Transport Theory. Molecular Wires: Resonances, Staircases, Rectification, Bonding and Speculation; M. Kemp, et al. Tunnel Transport Through a Molecular Wire; M. Magoga, C. Joachim."Publisher Marketing: This volume contains the proceedings of the NATO Advanced Research Workshop on "Atomic and Molecular Wires." It was sponsored by the Ministry of Scientific Affairs Division special program on Nanoscale Science with the support of the CNRS and the Max Planck Institute. Scientists working or interested in the properties of wires at a subnanoscale were brought together in Les Houches (France) from 6 to 10 May 1996. Subnanoscale wires can be fabricated either by surface physicists (atomic wires) or by synthetic chemists (molecular wires). Both communities present their foremost advances using, for example, STM to assemble atomic lines atom for atom, to fabricate a mask for such a line or using the wide range of chemical synthesis techniques to obtain long, rigid and conjugated oligomers. Interconnecting such tiny wires to sources (voltage, current) continues to demand a great technological effort. But nanolithography associated with microfabrication or STM are now clearly identified paths for measuring the electrical resistance of an atomic or a molecular wire. The first measurements have been reported on Xe, benzene, C ' di(phenylene-ethynylene) showing 2 60 the need for a deeper understanding of transport phenomena through subnanowires. Such transport phenomena like tunnel (off-resonance) transport and Coulomb blockade have been discussed by theorists with an emphasis on the exponential decrease of the tunnel current with the wire length versus the ballistic regime of transport.

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 IndexContributor Bio:  Roth, Siegmar After studying physics at the University of Vienna, Siegmar Roth carried out his thesis work at the reactor center in Seibersdorf, Austria, and received his PhD at the Institute of Professor Erich Schmid. From 1968 to 1970 he worked at the Siemens Research Laboratories in Erlangen, Germany, on the solid-state physics of novel semiconductors. After a three-year stay at the High Flux Reactor of the Institute Laue Langevin and four years at the High-Field Magnet Laboratory, both in Grenoble, France, where his research centered on superconductors, he joined the Max-Planck-Institut fur Festkorperforschung in Stuttgart, Germany. He is currently head of the Synthetic Nanostructures Group in von Klitzing's department. In addition, he is Senior Visiting Professor at the Shanghai Institute of Technical Physics of the Chinese Academy of Sciences, CEO of Sineurop Nanotech GmbH Stuttgart, and Scientific Advisor to Shanghai Yangtze Nanomaterials. David Carroll carried out his thesis work at Wesleyan University in Middletown, Connecticut, USA, receiving his PhD in 1993. At the University of Pennsylvania in Philadelp hia, his postdoctoral work focused on the application of scanning probes to oxide surfaces. After this, he joined Prof. Ruhle's group at the Max-Planck-Institut fur Metallforschung in Stuttgart, Germany. For two years there, his work centered on the application of scanning probes to interface studies and supported nanostructures. From Stuttgart, he became an assistant professor at Clemson University, Clemson, South Carolina, USA. Professor Carroll now heads the Nanotechnology group at Wake Forest University in Winston-Salem, North Carolina.