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  Modern Statistical Mechanics
Posted on 2016-10-25 (Send to a Friend Send to a Friend )
Book Table of contents: Classical spin systems, order and disorder, introducing the Ising model and solving the 1d case, the transfer matrix, the Peierls argument; The quantum/classical correspondence, the Ising Hamiltonian; Quantum spin systems, su(2) symmetry; The 1 1 dimensional Ising model: the low- and high-temperature expansions, duality, solving it using free fermions; The XXZ chain and the six-vertex model; Landau theory and the mean-field approximation; A Conformal Field Theory Primer. . . . .
 
 
  Electronic Structure Theory
Posted on 2016-10-24 (Send to a Friend Send to a Friend )
Book The goal of electonic structure theory is to be predictive! Computational Electronic Structure Theory is an ever-growing field which combines theoretical physics and chemistry with computer science and math. . . . .
 
 
   What's (the) Matter?, A Show on Elementary Particle Physics.
Posted on 2016-10-17 (Send to a Friend Send to a Friend )
Book We present the screenplay of a physics show on particle physics, by the Physikshow of Bonn University. The show is addressed at non-physicists aged 14 and communicates basic concepts of elementary particle physics including the discovery of the Higgs boson in an entertaining fashion. It is also demonstrates a successful outreach activity heavily relying on the university physics students. This paper is addressed at anybody interested in particle physics and/or show physics. This paper is also addressed at fellow physicists working in outre . . . .
 
 
   The historical development of X-ray Absorption Fine Spectroscopy and of its applications to Materials Science
Posted on 2016-10-12 (Send to a Friend Send to a Friend )
Book This essay sketches the development of X-ray Absorption Fine Spectroscopy (XAFS) ever since the second half of 20th century. At that time, synchrotrons started competing with X-ray discharge tubes as the sources of the excitation able to show the pre- and near-edge structures (XANES) and extended oscillations (EXAFS) that characterize the X-ray absorption edge of solid matter. Actually, modern XAFS began after 1975, when the hard-X-ray synchrotron radiation derived from storage rings took over. Ever since, XAFS greatly contributed to both techn . . . .
 
 
   Dynamical Screening Effects in Correlated Electron Materials -- A Progress Report on Combined Many-Body Perturbation and DMFT
Posted on 2016-10-12 (Send to a Friend Send to a Friend )
Book We give a summary of recent progress in the field of electronic structure calculations for materials with strong electronic Coulomb correlations. The discussion focuses on developments beyond the by now well established combination of density functional and dynamical mean field theory dubbed "LDA DMFT". It is organized around the description of dynamical screening effects in the solid. Indeed, screening in the solid gives rise to dynamical local Coulomb interactions U(w) (Aryasetiawan et al 2004 Phys. Rev. B 70 195104), and this frequ . . . .
 
 
   Non-linear response in extended systems: a real-time approach
Posted on 2016-10-12 (Send to a Friend Send to a Friend )
Book In this thesis we present a new formalism to study linear and non-linear response in extended systems. Our approach is based on real-time solution of an effective Schr\"odinger equation. The coupling between electrons and external field is described by means of Modern Theory of Polarization. Correlation effects are derived from Green's function theory. We show that the inclusion of local-field effects and electron-hole interaction is crucial to predict and reproduce second and third harmonic generation in low dimensional structures, where . . . .
 
 
  Quantum theory of spontaneous emission and coherent effects in semiconductor microstructures
Posted on 2016-10-12 (Send to a Friend Send to a Friend )
Book A fully quantum-mechanical theory for the interaction of light and electron } hole excitations in semiconductor quantum-well systems is developed. The resulting many-body hierarchy for the correlation functions is truncated using a dynamical decoupling scheme leading to coupled semiconductor luminescence and Bloch equations. For incoherent excitation conditions, the theory is used to describe nonlinear excitonic emission properties of single-quantum wells, optically coupled multiple quantum-well systems, and quantum wells in a microcavit . . . .
 
 
  Quasiparticle Self-Consistent GW Method for the Spectral Properties of Complex Materials
Posted on 2016-10-11 (Send to a Friend Send to a Friend )
Book The GWapproximation to the formally exact many-body perturbation theory has been applied successfully to materials for several decades. Since the practical calculations are extremely cumbersome, the GW self-energy is most commonly evaluated using a first-order perturbative approach: This is the so-called G0W0 scheme. However, the G0W0 approximation depends heavily on the mean-field theory that is employed as a basis for the perturbation theory. Recently, a procedure to reach a kind of self-consistency within the GW framework has been pr . . . .
 
 
  Many-Particle Theory of Highly excited Semiconductors
Posted on 2016-09-01 (Send to a Friend Send to a Friend )
Book The theory of highly excited semiconductors is dealt with from a many-particle point of view using the Green's function formalism. . . . .
 
 
   Quantum walks: a comprehensive review
Posted on 2016-07-23 (Send to a Friend Send to a Friend )
Book Quantum walks, the quantum mechanical counterpart of classical random walks, is an advanced tool for building quantum algorithms that has been recently shown to constitute a universal model of quantum computation. Quantum walks is now a solid field of research of quantum computation full of exciting open problems for physicists, computer scientists, mathematicians and engineers. In this paper we review theoretical advances on the foundations of both discrete- and continuous-time quantum walks, together with the role that randomness plays in qu . . . .
 
 
   Quantum random walks - an introductory overview
Posted on 2016-07-22 (Send to a Friend Send to a Friend )
Book This article aims to provide an introductory survey on quantum random walks. Starting from a physical effect to illustrate the main ideas we will introduce quantum random walks, review some of their properties and outline their striking differences to classical walks. We will touch upon both physical effects and computer science applications, introducing some of the main concepts and language of present day quantum information science in this context. We will mention recent developments in this new area and outline some open questions. . . . .
 
 
   A primer on quantum fluids
Posted on 2016-07-16 (Send to a Friend Send to a Friend )
Book This book introduces the theoretical description and properties of quantum fluids. The focus is on gaseous atomic Bose-Einstein condensates and, to a minor extent, superfluid helium, but the underlying concepts are relevant to other forms of quantum fluids such as polariton and photonic condensates. The book is pitched at the level of advanced undergraduates and early postgraduate students, aiming to provide the reader with the knowledge and skills to develop their own research project on quantum fluids. Indeed, the content for this book grew f . . . .
 
 
   An Introduction to Business Mathematics
Posted on 2016-07-13 (Send to a Friend Send to a Friend )
Book These lecture notes provide a self-contained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management. In particular, the topics covered comprise real-valued vector and matrix algebra, systems of linear algebraic equations, Leontief's stationary input-output matrix model, linear programming, elementary financial mathematics, as well as differential and integral calculus of real-valued functions of one real variable. A special focus is set on applications in quantitative economical mo . . . .
 
 
   Electron-phonon interactions from first principles
Posted on 2016-06-17 (Send to a Friend Send to a Friend )
Book This article reviews the theory of electron-phonon interactions in solids from the point of view of ab-initio calculations. While the electron-phonon interaction has been studied for almost a century, predictive non-empirical calculations have become feasible only during the past two decades. Today it is possible to calculate from first principles many materials properties related to the electron-phonon interaction, including the critical temperature of conventional superconductors, the carrier mobility in semiconductors, the temperature depend . . . .
 
 
   Response Theory of the Electron-Phonon Coupling
Posted on 2016-06-16 (Send to a Friend Send to a Friend )
Book This article presents a systematic theoretical enquiry concerning the conceptual foundations and the nature of phonon-mediated electron-electron interactions. Starting from the fundamental many-body Hamiltonian, we propose a simple scheme to decouple the electrons and nuclei of a crystalline solid via effective interactions. These effective interactions, which we express in terms of linear response functions, are completely symmetric between electrons and nuclei. Correspondingly, we derive concrete formulae for both the effective electron inte . . . .
 
 
  Network Science
Posted on 2016-05-23 (Send to a Friend Send to a Friend )
Book Networks are everywhere, from the Internet, to social networks, and the genetic networks that determine our biological existence. Illustrated throughout in full colour, this pioneering textbook, spanning a wide range of topics from physics to computer science, engineering, economics and the social sciences, introduces network science to an interdisciplinary audience. From the origins of the six degrees of separation to explaining why networks are robust to random failures, the author explores how viruses like Ebola and H1N1 spread, and why it i . . . .
 
 
  Pattern Recognition and Machine Learning
Posted on 2016-05-12 (Send to a Friend Send to a Friend )
Book This new textbook reflects these recent developments while providing a compre- hensive introduction to the fields of pattern recognition and machine learning. It is aimed at advanced undergraduates or first year PhD students, as well as researchers and practitioners, and assumes no previous knowledge of pattern recognition or ma- chine learning concepts. Knowledge of multivariate calculus and basic linear algebra is required, and some familiarity with probabilities would be helpful though not es- sential as the book includes a self-contai . . . .
 
 
  Statistical Learning and Sequential Prediction
Posted on 2016-05-11 (Send to a Friend Send to a Friend )
Book 1 About This course will focus on theoretical aspects of Statistical Learning and Sequential Prediction . Until recently, these two subjects have been treated separately within the learning community. The course will follow a unified approach to analyzing learning in both scenarios. To make this happen, we shall bring together ideas from probability and statistics, game theory, algorithms, and optimization. It is this blend of ideas that makes the subject interesting for us, and we hope to convey the excitement. We shall tr . . . .
 
 
  An Introduction to Statistical Learning: with Applications in R
Posted on 2016-05-09 (Send to a Friend Send to a Friend )
Book One of the first books in this area— The Elements of Statistical Learning (ESL) (Hastie, Tibshirani, and Friedman)—was published in 2001, with a second edition in 2009. ESL has become a popular text not only in statis- tics but also in related fields. One of the reasons for ESL’s popularity is its relatively accessible style. But ESL is intended for individuals with ad- vanced training in the mathematical sciences. An Introduction to Statistical Learning (ISL) arose from the perceived need for a broader and less tech- nical treatment . . . .
 
 
  The Elements of Statistical Learning
Posted on 2016-05-08 (Send to a Friend Send to a Friend )
Book This book is our attempt to bring together many of the important new ideas in learning, and explain them in a statistical framework. While some mathematical details are needed, we emphasize the methods and their con- ceptual underpinnings rather than their theoretical properties. As a result, we hope that this book will appeal not just to statisticians but also to researchers and practitioners in a wide variety of fields. . . . .
 
 
   Dynamical screening in correlated electron systems - from lattice models to realistic materials
Posted on 2016-03-25 (Send to a Friend Send to a Friend )
Book Recent progress in treating the dynamically screened nature of the Coulomb interaction in strongly correlated lattice models and materials is reviewed with a focus on computational schemes based on the dynamical mean field approximation. We discuss approximate and exact methods for the solution of impurity models with retarded interactions, and explain how these models appear as auxiliary problems in various extensions of the dynamical mean field formalism. The current state of the field is illustrated with results from recent applications of t . . . .
 
 
  Introduction to the Modeling and Analysis of Complex Systems
Posted on 2016-03-16 (Send to a Friend Send to a Friend )
Book Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdis- ciplinary field of Complex Systems Science . Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can be understood as complex systems, where critically impor- tant information resides in the relationships between the parts and not necessarily within the parts themselves. T . . . .
 
 
   Copyright Oxford University Press 2006 v1. 0 Statistical Mechanics Entropy, Order Parameters, and Complexity
Posted on 2016-03-16 (Send to a Friend Send to a Friend )
Book This text is careful to address the interests and background not only of physicists, but of sophisticated students and researchers in mathe- matics, biology, engineering, comput er science, and the social sciences. It therefore does not presume an extensive background in physics, and (except for Chapter 7 ) explicitly does not assume that the reader knows or cares about quantum mechanics. T he text treats the intersection of the interests of all of these groups , while the exercises encompass the union of interests. Statistical me . . . .
 
 
  Stochastic dynamics and relaxation in molecular systems
Posted on 2016-01-17 (Send to a Friend Send to a Friend )
Book Contents: Langevin’s approach to Brownian dynamics; Diffusion processes and the Fokker-Planck equation; Diffusive motions in simple liquids; Protein dynamics; Elements of probability theory; Autoregressive model; Bibliography. . . . .
 
 
  Stochastic Differential Equations: Models and Numerics
Posted on 2016-01-17 (Send to a Friend Send to a Friend )
Book The goal of this course is to give useful understanding for solving problems formulated by stochastic differential equations models in science, engineering and mathematical finance. Typically, these problems require numerical methods to obtain a solution and therefore the course focuses on basic understanding of stochastic and partial differential equations to construct reliable and efficient computational methods. Stochastic and deterministic differential equations are fundamental for the modeling in Science and Engineering. . . . .
 
 
   Control Principles of Complex Networks
Posted on 2016-01-02 (Send to a Friend Send to a Friend )
Book A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the system's components, a quantitative description of the dynamical laws that govern the temporal behavior of each component, and an ability to influence the state and temporal behavior of a selected subset of the components. With deep roots in nonlinear dynamics and control theory, notions of control and controllabi . . . .
 
 
  Introduzione all Intelligenza Artificiale
Posted on 2016-01-02 (Send to a Friend Send to a Friend )
Book The paper presents an introduction to Artificial Intelligence (AI) in an accessible and informal but precise form. The paper focuses on the algorithmic aspects of the discipline, presenting the main techniques used in AI systems groped in symbolic and subsymbolic. The last part of the paper is devoted to the discussion ongoing among experts in the field and the public at large about on the advantages and disadvantages of AI and in particular on the possible dangers. The personal opinion of the author on this subject concludes the paper. . . . .
 
 
   Theory of Special Relativity
Posted on 2015-12-27 (Send to a Friend Send to a Friend )
Book Special Relativity is taught to physics sophomores at Johns Hopkins University in a series of eight lectures. Lecture 1 covers the principle of relativity and the derivation of the Lorentz transform. Lecture 2 covers length contraction and time dilation. Lecture 3 covers Minkowski diagrams, simultaneous events and causally connected events, as well as velocity transforms. Lecture 4 covers energy and momentum of particles and introduces 4-vectors. Lecture 5 covers energy and momentum of photons and collision problems. Lecture 6 covers Doppler ef . . . .
 
 
   Computational Sociolinguistics: A Survey
Posted on 2015-12-25 (Send to a Friend Send to a Friend )
Book Language is a social phenomenon and inherent to its social nature is that it is constantly changing. Recently, a surge of interest can be observed within the computational linguistics (CL) community in the social dimension of language. In this article we present a survey of the emerging field of "Computational Sociolinguistics" that reflects this increased interest. We aim to provide a comprehensive overview of CL research on sociolinguistic themes, featuring topics such as the relation between language and social identity, langua . . . .
 
 
   Introduction to the variational and diffusion Monte Carlo methods
Posted on 2015-12-25 (Send to a Friend Send to a Friend )
Book We provide a pedagogical introduction to the two main variants of real-space quantum Monte Carlo methods for electronic-structure calculations: variational Monte Carlo (VMC) and diffusion Monte Carlo (DMC). Assuming no prior knowledge on the subject, we review in depth the Metropolis-Hastings algorithm used in VMC for sampling the square of an approximate wave function, discussing details important for applications to electronic systems. We also review in detail the more sophisticated DMC algorithm within the fixed-node approximation, introduce . . . .





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