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Script Handbook for Interactive Scientific Website Building |
Posted on 2010-08-16
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In this handbook, I collect the basic (and eventually upgraded) PHP scripts used for building the AMIDAS website (this http URL), an online interactive simulation/data analysis system for direct Dark Matter detection experiments. Some basic, often used commands of (X)HTML, CSS, JavaScript, HTML DOM, and PHP are also given in the appendix. . . . . |
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18 Lectures on K-Theory |
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Posted on 2010-08-16
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We present 18 Introductory Lectures on K-Theory covering its basic three branches, namely topological, analytic (K-Homology) and Higher Algebraic K-Theory, 6 lectures on each branch. The skeleton of these notes was provided by the author's personal notes from a graduate summer school on K-Theory organised by the London Mathematical Society (LMS) back in 1995 in Lancaster, UK. . . . . |
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Quantum magnetism (Graduate lectures) |
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Posted on 2010-08-07
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Contents: Introduction; Magnetic Insulators; Metals; Magnetic impurities; Other magnetic phenomena; Connections to macroscopics. . . . . |
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Polariton condensation (A Green's function approach) |
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Posted on 2010-08-07
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These lectures discuss the use of Green’s functions in understanding con-
densation in non-equilibrium systems. The lectures thus have two aims,
conceptual and technical. The conceptual aim of these lectures is to introduce the idea of quantum
condensation in general, and of condensation of quasiparticles in semiconductors in particular. The quasiparticles that will be studied in detail are exciton-polaritons; but some historic overview including exciton condensation will also be provided. Excitons are bound electron hole pairs in semiconduc . . . . |
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Light-Matter Interactions and Quantum Optics. |
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Posted on 2010-08-04
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Contents:Quantisation of electromagnetism; Quantum electrodynamics in other gauges; Jaynes Cummings model; Density matrices for 2 level systems; Resonance Fluorescence; Quantum stochastic methods; Cavity Quantum Electrodynamics; Superradiance; The Dicke model; Lasers and micromasers; More on lasers; Three levels, and coherent control. . . . . |
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Dissociation, fragmentation and fission of simple metal clusters |
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Posted on 2010-07-25
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This pedagogical review presents the Shell Correction Method (SCM) and variants thereof, appropriate for describing shape deformations and electronic shell effects, energetics and decay pathways of metal-cluster fragmentation processes (e.g., monomer/dimer dissociation and fission). The experimental trends are compared to the theoretical SCM interpretations, and in addition theoretical results for fission from first-principles molecular-dynamics simulations are discussed. Some latest insights concerning the importance of electroni . . . . |
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Shell-correction and orbital-free density-functional methods for finite systems |
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Posted on 2010-07-25
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Orbital-free (OF) methods promise significant speed-up of computations based on density functional theory (DFT). In this field, the development of accurate kinetic-energy density functionals remains an open question. In this chapter we review the shell-correction method (SCM, commonly known as Strutinsky's averaging method) applied originally in nuclear physics and its more recent formulation in the context of DFT [Yannouleas and Landman, Phys. Rev. B 48, 8376 (1993)]. We demonstrate the DFT-SCM method through its earlier applications to conden . . . . |
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Understanding glassy phenomena in materials |
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Posted on 2010-07-25
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A basis for understanding and modelling glassy behaviour in martensitic alloys and relaxor ferroelectrics is discussed from the perspective of spin glasses. . . . . |
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Interactions in Quantum Fluids |
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Posted on 2010-07-25
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In these notes I review the basic concepts of the effects of interactions on quantum particles. I focuss here mostly on the case of fermions, but several aspects of interacting bosons are mentioned as well. These notes have been voluntarily kept at an elementary level and should be suitable for students wanting to enter this field. I review the concept of Fermi liquid, and then move to a description of the interaction effects, as well as the main models that are used to tackle these questions. Finally I study the case of one dimensional interac . . . . |
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Hepatology 2010 |
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Posted on 2010-07-21
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Contents: The Basics; Hepatitis B and D; Hepatitis C; Coinfections; Liver fibrosis; Hepatocellular Carcinoma; Liver transplantation; Autoimmune and metabolic liver disease. . . . . |
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Electromechanical Dynamics |
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Posted on 2010-07-21
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First published in 1968 by John Wiley and Sons, Inc., Electromechanical Dynamics discusses the interaction of electromagnetic fields with media in motion. The subject combines classical mechanics and electromagnetic theory and provides opportunities to develop physical intuition. The book uses examples that emphasize the connections between physical reality and analytical models. Types of electromechanical interactions covered include rotating machinery, plasma dynamics, the electromechanics of biological systems, and magnetoelasticity. The boo . . . . |
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An informal introduction to the ideas and concepts of noncommutative geometry |
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Posted on 2010-07-21
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This informal introduction is an extended version of a three hours lecture given at the 6th Peyresq meeting ``Integrable systems and quantum field theory''. In this lecture, we make an overview of some of the mathematical results which motivated the development of what is called noncommutative geometry. The first of these results is the theorem by Gelfand and Neumark about commutative $C^\ast$-algebras; then come some aspects of the $K$-theories, first for topological spaces, then for $C^\ast$-algebras and finally the purely algebraic version. . . . . |
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Basi teoriche della chimica |
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Posted on 2010-07-14
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Contenuto: Coordinate e vettori; Tensori; 3 Tensori cartesiani; 4 Coordinate rotazionali ;5 Algebra tensoriale;6 Spettroscopia vibrazionale; 7 Relativita` ristretta; 8 Biografie. . . . . |
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Document Image Analysis |
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Posted on 2010-07-09
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Contents:What is a Document Image and What Do We Do With It?; Preparing the Document Image; Finding Appropriate Features; Recognizing Components of Text Documents; Recognizing Components of Graphics Documents. . . . . |
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MACHINE VISION |
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Posted on 2010-07-09
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The field of machine vision, or computer vision, has been growing at a fast pace. As in most fast-developing fields, not all aspects of machine vision that are of interest to active researchers are useful to the designers and users of a vision system for a specific application.
This text is intended to provide a balanced introduction to machine vision. Basic concepts are introduced with only essential mathematical elements. The details to allow implementation and use of vision algorithm in practical application are provided, and engineering . . . . |
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Multiscale Simulation Methods in Molecular Sciences |
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Posted on 2010-06-28
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Contents: Methodological Foundations; Multiscale Simulation Methods for Solids and Materials; Multiscale Simulation Methods for Soft Matter and Biological Systems; Numerical Methods and Parallel Computing. . . . . |
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Foundations of Computer Science |
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Posted on 2010-06-28
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Contents: Computer Science: The Mechanization of Abstraction; Iteration, Induction, and Recursion; The Running Time of Programs; Combinatorics and Probability; The Tree Data Model; The List Data Model; The Set Data Model; The Relational Data Model; The Graph Data Model; Patterns, Automata, and Regular Expressions; Recursive Description of Patterns; Propositional Logic; Using Logic to Design Computer Components; Predicate Logic. . . . . |
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Introduction to Quantum Integrability |
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Posted on 2010-06-28
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In this article we review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. The associated algebras are essentially described by the Yang-Baxter and boundary Yang-Baxter equations depending on the choice of boundary conditions. The relation between the aforementioned equations and the braid group is briefly discussed. A short review on quantum groups as well as the quantum inverse scattering method (algebraic Bethe ansatz) is also presented. . . . . |
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Particle Physics Aspects of Modern Cosmology |
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Posted on 2010-06-25
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Modern cosmology has created a tight link between particle physics / field theory and a wealth of new observational data on the structure of the Universe. These lecture notes focus on some of the most important aspects concerning the connection between theory and observations. The lectures begin with an overview of some recent progress and problems in inflationary cosmology. In particular, a pedagogical discussion of the theory of reheating is presented. The second topic is a survey of the theory of cosmological perturbations, the cornerstone o . . . . |
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A Brief Introduction to Particle Interactions |
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Posted on 2010-06-23
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I give a brief introduction to particle interactions based on representations of Poincare Lie algebra. This is later generalized to interactions based on representations of the supersymmetry Lie algebra. Globally supersymmetric models with internal symmetry and locally supersymmetric models leading to supergravity theories are presented. I also discuss higher dimensional supergravity theories and some of their applications. . . . . |
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Introduction to Feynman Integrals |
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Posted on 2010-06-21
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In these lectures I will give an introduction to Feynman integrals. In the first part of the course I review the basics of the perturbative expansion in quantum field theories. In the second part of the course I will discuss more advanced topics: Mathematical aspects of loop integrals related to periods, shuffle algebras and multiple polylogarithms are covered as well as practical algorithms for evaluating Feynman integrals. . . . . |
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Applied Mathematical Programming |
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Posted on 2010-06-19
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This book is the main text for 15.053 Introduction to Optimization taught at MIT. To make the book available online, most chapters have been re-typeset. Chapters 6, 7 and 10 were not, but are still available (as direct scans of the original chapters).
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Introduction to Nonequilibrium Statistical Mechanics with Quantum Field |
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Posted on 2010-06-19
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In this article, we present a concise and self-contained introduction to nonequilibrium statistical mechanics with quantum field theory by considering an ensemble of interacting identical bosons or fermions as an example. Readers are assumed to be familiar with the Matsubara formalism of equilibrium statistical mechanics such as Feynman diagrams, the proper self-energy, and Dyson's equation. The aims are threefold: (i) to explain the fundamentals of nonequilibrium quantum field theory as simple as possible on the basis of the knowledge of the e . . . . |
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Density Functional Theory |
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Posted on 2010-06-14
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Contents: Density Functionals for Non-relativistic Coulomb Systems in the New Century; Orbital-Dependent Functionals
for the Exchange-Correlation Energy:
A Third Generation of Density Functionals; Relativistic Density Functional Theory; Time-Dependent Density Functional Theory; Density Functional Theories
and Self-energy Approaches; A Tutorial on Density Functional Theory. . . . . |
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Feynman Diagrams and Differential Equations |
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Posted on 2010-06-12
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We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of one- and two-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly in D. Finally, we treat two cases of less trivial differential equations, respectively associated to a two-loop three-point, and a four-loop two-point integral. These two examples are the playgrou . . . . |
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Information Theory and Statistical Physics - Lecture Notes |
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Posted on 2010-06-12
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This document consists of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information Theory, as well as to graduate students in Physics who have basic background in Information Theory. Strong emphasis is given to the analogy and parallelism between Information Theory and Statistical Physics, as well as to the insights, the analysis tools and techniques that can be borrowed from Statistical Physic . . . . |
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Lectures on Logarithmic Algebraic Geometry |
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Posted on 2010-06-02
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Contents: The geometry of monoids; Log structures and charts; Morphisms of log schemes; Differentials and smoothness; De Rham and Betti cohomology. . . . . |
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Disorder and interference: localization phenomena |
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Posted on 2010-05-26
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The specific problem we address in these lectures is the problem of transport and localization in disordered systems, when interference is present, as characteristic for waves, with a focus on realizations with ultracold atoms. . . . . |
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Spin Transport in Organic Semiconductors: A Brief Overview of the First Eight Years |
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Posted on 2010-05-26
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In this article we briefly review the current state of the experimental research on spin polarized transport in organic semiconductors. These systems, which include small molecular weight compounds and polymers, are central in the rapidly maturing area of organic electronics. A great deal of effort has been invested in the last eight years toward understanding spin injection and transport in organics. These developments have opened up the possibility of realizing a new family of organic spintronic devices which will blend the chemical versa . . . . |
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