Mathematical physics Books

Spin wave theory of magnetism and BCS theory of superconductivity are typical theories of the time before renormalization group (RG) theory. The two theories consider atomistic interactions only and ignore the energy degrees of...

I High Performance Computing.- to Message-Passing Interface.- An Introduction to Grid Computing Using EGEE.- AstroGrid and the Virtual Observatory.- II Applications in Astrophysics.- Three Dimensional Continuum Radiative Transfer.- Large-Scale Jet...

Background.- Basics of Quantum Mechanics.- Basics of Thermodynamics and Statistics.- Brief Review of Pertinent Concepts.- Equilibrium.- The Program for the Foundation of Thermodynamics.- Outline of the Present Approach.- Dynamics and Averages in Hilbert...

Properties of 3- and 3-Symbols.- Basic Tools for the Graphical Method.- Orthogonality Relations for 3-Symbols.- Properties of the 6-Symbol.- Properties of the 9-Symbol.- General Principles for Diagrams.- Closed Diagrams.- Open Diagrams.- Application in...

How is free will possible in the light of the physical and chemical underpinnings of brain activity and recent neurobiological experiments? How can the emergence of complexity in hierarchical systems such as the brain, based at...

Basics in Conformal Field Theory.- Symmetries of Conformal Field Theories.- Conformal Field Theory on the Torus.- Supersymmetric Conformal Field Theory.- Boundary Conformal Field Theory.

There have been many significant advances in time-dependent density functional theory over recent years, both in enlightening the fundamental theoretical basis of the theory, as well as in computational algorithms and applications. This book, as...

Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an...

Future Architectures.- First Experiences with NEC SX-9.- Scalable Computing in a Hybrid System Architecture.- Prerequisites for the Productive Usage of Hybrid Systems.- Multiscale and Multiphysics Simulations.- Complex Numerical Simulations in Production...

Non-Associative and Non-Commutative Structures for Physics.- Moufang Transformations and Noether Currents.- Weakly Nonassociative Algebras, Riccati and KP Hierarchies.- Applications of Transvectants.- Automorphisms of Finite Orthoalgebras, Exceptional...

Part I FEM: Numerical Aspects 1 Dispersion, Pollution, and Resolution.2 Different Types of Finite Elements.3 Multifrequency Analysis using Matrix Pad´e-via-Lanczos.4 Computational Aeroacoustics based on Lighthill's Acoustic Analogy.Part II FEM: External...

Physical Background to the K-Theory Classification of D-Branes: Introduction and References.- Physical Background to the K-Theory Classification of D-Branes: Introduction and References.- Bundles over a Space and Modules over an Algebra.- Generalities on...

Molecular Dynamics.- to Molecular Dynamics.- Wigner Function Quantum Molecular Dynamics.- Classical Monte Carlo.- The Monte Carlo Method, an Introduction.- Monte Carlo Methods in Classical Statistical Physics.- The Monte Carlo Method for Particle...

Statistical Mechanics of Ising systems.- Thermodynamic limit in the Ising model.- The phase diagram of Ising systems.- Mean field, Kac potentials and the Lebowitz-Penrose limit.- Stochastic Dynamics.- Mesoscopic Theory, non-local functionals.- Non-local,...

to Fractional Calculus.- Functions Used in Fractional Calculus.- Observation of Fractional Calculus in Physical System Description.- Concept of Fractional Divergence and Fractional Curl.- Fractional Differintegrations: Insight Concepts.- Initialized...

Interactive particle systems is a branch of probability theory with close connections to mathematical physics and mathematical biology. This book takes three of the most important models in the area, and traces advances in our...

Written for an interdisciplinary readership, this book is a practical guide to the fascinating world of solitons. The author approaches the subject from the standpoint of applications in optics, hydrodynamics, and electrical...

Non-scalar variational problems appear in different fields. In geometry, for in­ stance, we encounter the basic problems of harmonic maps between Riemannian manifolds and of minimal immersions; related questions appear in...

For almost two decades, this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. Major changes in the new edition relate to Bose-Einstein condensation, the dynamics of the...

From Nucleons to Nucleus deals with single-particle and collective features of spherical nuclei. Each nuclear model is introduced and derived in detail. The formalism is then applied to light and medium-heavy nuclei in...

This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical...

This volume entitled "TRANSAERO - A European Initiative on Transient Aerodynamics for Railway System Optimisation" contains the results of the contributors during the project th symposium which took place in Paris, France, on...

Generalities.- QCD as a Field Theory.- Renormalization in QCD: Asymptotic Freedom. Operator Expansions.- Perturbative QCD I. Deep Inelastic Processes.- Perturbative QCD II. OZI Forbidden Decays; Drell-Yan Processes; Jets; SVZ Sum Rules; Exclusive...

This volume entitled "TRANSAERO - A European Initiative on Transient Aerodynamics for Railway System Optimisation" contains the results of the contributors during the project th symposium which took place in Paris, France, on...

The present set of lecture notes gives both a status report and a survey of recent advances for the most important quantization methods in the field theories for elementary particle physics. The first part of the book ...

The year 2004 was a remarkable one for the growing ?eld of time-dependent density functional theory (TDDFT). Not only did we celebrate the 40th - niversary of the Hohenberg-Kohn paper, which had laid the foundation for...

This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised second edition has been influenced by recent progress in application of semigroup theory to...

Those interested in state of the art in computational fluid dynamics will find this publication a valuable source of reference. The contributions are drawn from The International Conference on Computational Fluid Dynamics...

The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from...

This volume contains 27 contributions to the Second Russian-German Advanced Research Workshop on Computational Science and High Performance Computing presented in March 2005 at Stuttgart, Germany. Contributions range from...

Recently, increasing interest has been shown in applying the concept of Pareto-optimality to machine learning, particularly inspired by the successful developments in evolutionary multi-objective optimization. It has been shown...

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents a theory of symplectic and...

Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two...

Basic Principles of Classical Mechanics.- The n-Body Problem.- Symmetry Groups and Order Reduction.- Variational Principles and Methods.- Integrable Systems and Integration Methods.- Perturbation Theory for Integrable Systems.- Non-Integrable Systems.-...

Over ?fteen years ago, because of the tremendous increase in the power and utility of computer simulations, The University of Georgia formed the ?rst institutional unit devoted to the use of simulations in research and...

This series presents critical reviews of the present and future trends in polymer and biopolymer science including chemistry, physical chemistry, physics and materials science. It is addressed to all scientists at universities...

These proceedings are the fifth in the series Traffic and Granular Flow, and we hope they will be as useful a reference as their predecessors. Both the realistic modelling of granular media and traffic flow present important...

The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. Although a great variety of methods for evaluating Feynman integrals has been developed over a...

This book offers a systematic and comprehensive exposition of the quantum stochastic methods that have been developed in the field of quantum optics. It includes new treatments of photodetection, quantum amplifier theory,...

Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.

Soft matter science is nowadays an acronym for an increasingly important class of materials, which ranges from polymers, liquid crystals, colloids up to complex macromolecular assemblies, covering sizes from the nanoscale up...

Stochastic differential equations have many applications in the natural sciences. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce solution of...

The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of...

These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a...

Der Teil 2 dieses Standardwerkes behandelt - aufbauend auf den Grundlagen des ersten Bandes - die numerischen Methoden und deren Anwendung in den Ingenieurwissenschaften . Eine Fülle von Algorithmen und Einschließungssätzen...