Modern Physics With Modern Computational Methods

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Modern Physics with Modern Computational Methods

Author : John Morrison
Publisher : Academic Press
Page : 500 pages
File Size : 50,9 Mb
Release : 2020-10-13
Category : Education
ISBN : 9780128177914

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Modern Physics with Modern Computational Methods by John Morrison Pdf

Modern Physics with Modern Computational Methods, Third Edition presents the ideas that have shaped modern physics and provides an introduction to current research in the different fields of physics. Intended as the text for a first course in modern physics following an introductory course in physics with calculus, the book begins with a brief and focused account of experiments that led to the formulation of the new quantum theory, while ensuing chapters go more deeply into the underlying physics. In this new edition, the differential equations that arise are converted into sets of linear equation or matrix equations by making a finite difference approximation of the derivatives or by using the spline collocation method. MATLAB programs are described for solving the eigenvalue equations for a particle in a finite well and the simple harmonic oscillator and for solving the radial equation for hydrogen. The lowest-lying solutions of these problems are plotted using MATLAB and the physical significance of these solutions are discussed. Each of the later chapters conclude with a description of modern developments. Makes critical topics accessible by illustrating them with simple examples and figures Presents modern quantum mechanical concepts systematically and applies them consistently throughout the book Utilizes modern computational methods with MATLAB programs to solve the equations that arise in physics, and describes the programs and solutions in detail Covers foundational topics, including transition probabilities, crystal structure, reciprocal lattices, and Bloch theorem to build understanding of applications, such as lasers and semiconductor devices Features expanded exercises and problems at the end of each chapter as well as multiple appendices for quick reference

Computation in Modern Physics

Author : William R Gibbs
Publisher : World Scientific Publishing Company
Page : 380 pages
File Size : 53,5 Mb
Release : 2006-05-05
Category : Science
ISBN : 9789813106703

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Computation in Modern Physics by William R Gibbs Pdf

This textbook is suitable for two courses in computational physics. The first is at an advanced introductory level and is appropriate for seniors or first year graduate students. The student is introduced to integral and differential techniques, Monte Carlo integration, basic computer architecture, linear algebra, finite element techniques, digital signal processing and chaos. In this first part of the book, no knowledge of quantum mechanics is assumed. The third edition has expanded treatments of the subjects in each of the first nine chapters and a new section on modern parallel computing, in particular, Beowulf clusters. The second course (the last four chapters) deals with problems in the strong interaction using quantum mechanical techniques, with emphasis on solutions of many-body scattering problems and several-body bound state calculations with Monte Carlo techniques. It also contains a chapter dealing with the numerical summation of divergent series.

Computation in Modern Physics

Author : Gibbs
Publisher : Unknown
Page : 128 pages
File Size : 43,8 Mb
Release : 2004-01
Category : Electronic
ISBN : 9812385894

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Computation in Modern Physics by Gibbs Pdf

The first half of this book is designed as a course for first year graduate students in the sciences. Problems are chosen to illustrate mathematical and physical subjects. In this first half only a moderate background in physics and mathematics is assumed. Integration, Monte Carlo techniques, the solution of linear systems and finite element methods are treated with enough depth to allow the student to understand them. An introduction to modeling with differential methods, digital signal processing and chaos is given. One chapter provides an introduction to common computer architectures.In the second half a thorough understanding of quantum mechanics is assumed with the Schrvdinger equation being treated with scattering and bound state conditions. The time-dependent Schrvdinger equation is also solved. A thorough introduction to the solution of the quantum-mechanical bound state with variational and Monte Carlo Green's function is given, with two examples being the solution of the bound state nuclear helium 4 and the energy of atomic liquid helium 4 at zero temperature. The exact solution of the low energy scattering problem is presented. Algorithms for the Borel and Pade methods for the summation of divergent series are studied. In the final chapter, methods for the solution of hadronic scattering from nuclei are treated including single, double and multiple scattering as well as the derivation and calculation of multiple scattering through fundamental optical models.The first half of the book will be suitable for a general course in computational methods while the second half can serve as a second semester course for Physics majors intending to do work in hadronic physics orscattering.

Computation in Modern Physics

Author : William R. Gibbs
Publisher : World Scientific
Page : 0 pages
File Size : 54,6 Mb
Release : 2006
Category : Science
ISBN : 9789812567994

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Computation in Modern Physics by William R. Gibbs Pdf

This textbook is suitable for two courses in computational physics. The first is at an advanced introductory level and is appropriate for seniors or first year graduate students. The student is introduced to integral and differential techniques, Monte Carlo integration, basic computer architecture, linear algebra, finite element techniques, digital signal processing and chaos. In this first part of the book, no knowledge of quantum mechanics is assumed. The third edition has expanded treatments of the subjects in each of the first nine chapters and a new section on modern parallel computing, in particular, Beowulf clusters.The second course (the last four chapters) deals with problems in the strong interaction using quantum mechanical techniques, with emphasis on solutions of many-body scattering problems and several-body bound state calculations with Monte Carlo techniques. It also contains a chapter dealing with the numerical summation of divergent series.

Computational Methods in Plasma Physics

Author : Stephen Jardin
Publisher : CRC Press
Page : 372 pages
File Size : 55,5 Mb
Release : 2010-06-02
Category : Computers
ISBN : 1439810958

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Computational Methods in Plasma Physics by Stephen Jardin Pdf

Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts neces

Computational Methods in Physics, Chemistry and Biology

Author : Paul Harrison
Publisher : John Wiley & Sons
Page : 230 pages
File Size : 44,6 Mb
Release : 2001-11-28
Category : Science
ISBN : 0471495638

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Computational Methods in Physics, Chemistry and Biology by Paul Harrison Pdf

Eine gut verständliche Einführung in moderne naturwissenschaftliche Rechenmethoden! Nur geringe physikalische Vorkenntnisse voraussetzend, vermittelt der Autor Grundlagen und komplexere Ansätze anhand vieler Beispiele und ausgesprochen praxisnaher Übungsaufgaben. Besprochen werden alle Rechenmethoden, die im Grundstudium erlernt werden sollen, hinsichtlich ihrer Leistungsfähigkeit und ihrer Anwendungsgebiete.

Modern Computational Methods

Author : Herbert Koenig
Publisher : Routledge
Page : 303 pages
File Size : 43,8 Mb
Release : 2019-05-20
Category : Technology & Engineering
ISBN : 9781351430609

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Modern Computational Methods by Herbert Koenig Pdf

This book is an introduction to computational mechanics, proceeding from basic computational tools to advanced computational procedures and applications. Emphasis is placed on the numerical techniques and how they form the bases for algorithms. Numerous worked examples in structural mechanics, heat transfer, fluid flow, and biomechanics are given with the numerical codes to illustrate how the methods are applied. A concluding section addresses advanced applications in such areas as finite volume methods and biomechanics.

An Introduction to Computational Physics

Author : Tao Pang
Publisher : Cambridge University Press
Page : 414 pages
File Size : 54,7 Mb
Release : 2006-01-19
Category : Computers
ISBN : 0521825695

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An Introduction to Computational Physics by Tao Pang Pdf

This advanced textbook provides an introduction to the basic methods of computational physics.

Computational Methods in Solid State Physics

Author : V V Nemoshkalenko,N.V. Antonov
Publisher : CRC Press
Page : 272 pages
File Size : 51,9 Mb
Release : 1999-02-19
Category : Science
ISBN : 9056990942

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Computational Methods in Solid State Physics by V V Nemoshkalenko,N.V. Antonov Pdf

The combination of theoretical physics methods, numerical mathematics and computers has given rise to a new field of physics known as "computational physics." The purpose of this monograph is to present the various methods of computational physics, in particular the methods of band theory. The first chapter of the book provides an introduction to the field and presents the theoretical foundations of band theory. In the second and third chapters the authors describe both traditional and more modern methods of band theory and include practical recommendations for their use. Methods which are discussed include APW (augmented plane wave), Green's function method, LMTO (linear method of MT- orbitals), LKKR (linear Korringer, Kohn and Rostocker method), LAPW (linear augmented plane wave), ASW (augmented spherical waves), and LASO (linear method of augmented Slater orbitals). Great attention is paid to the practical aspects of these theories and the book is structured in such a way as to enable the reader to use any method in practice without reference to other sources.

Modern Computational Aeroelasticity

Author : Min Xu,Xiaomin An,Wei Kang,Guangning Li
Publisher : Walter de Gruyter GmbH & Co KG
Page : 320 pages
File Size : 50,6 Mb
Release : 2020-12-07
Category : Science
ISBN : 9783110576627

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Modern Computational Aeroelasticity by Min Xu,Xiaomin An,Wei Kang,Guangning Li Pdf

The book provides a state-of-art overview of computational methods for nonlinear aeroelasticity and load analysis, focusing on key techniques and fundamental principles for CFD/CSD coupling in temporal domain. CFD/CSD coupling software design and applications of CFD/CSD coupling techniques are discussed in detail as well. It is an essential reference for researchers and students in mechanics and applied mathematics.

Computational Methods in Physics, Chemistry and Biology

Author : Paul Harrison
Publisher : John Wiley & Sons
Page : 226 pages
File Size : 42,7 Mb
Release : 2001-11-28
Category : Science
ISBN : 047149562X

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Computational Methods in Physics, Chemistry and Biology by Paul Harrison Pdf

Eine gut verständliche Einführung in moderne naturwissenschaftliche Rechenmethoden! Nur geringe physikalische Vorkenntnisse voraussetzend, vermittelt der Autor Grundlagen und komplexere Ansätze anhand vieler Beispiele und ausgesprochen praxisnaher Übungsaufgaben. Besprochen werden alle Rechenmethoden, die im Grundstudium erlernt werden sollen, hinsichtlich ihrer Leistungsfähigkeit und ihrer Anwendungsgebiete.

Computational Physics

Author : Philipp Scherer
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 50,7 Mb
Release : 2013-07-17
Category : Science
ISBN : 9783319004013

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Computational Physics by Philipp Scherer Pdf

This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.

An Introductory Guide to Computational Methods for the Solution of Physics Problems

Author : George Rawitscher,Victo dos Santos Filho,Thiago Carvalho Peixoto
Publisher : Springer
Page : 221 pages
File Size : 41,8 Mb
Release : 2018-10-24
Category : Science
ISBN : 9783319427034

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An Introductory Guide to Computational Methods for the Solution of Physics Problems by George Rawitscher,Victo dos Santos Filho,Thiago Carvalho Peixoto Pdf

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations. The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting.

Guide to Modern Physics

Author : James W. Rohlf
Publisher : CRC Press
Page : 219 pages
File Size : 54,6 Mb
Release : 2023-11-07
Category : Science
ISBN : 9781003805076

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Guide to Modern Physics by James W. Rohlf Pdf

This is a "how to guide" for making beginning calculations in modern physics. The academic level is second year college physical science and engineering students. The calculations are performed in Mathematica, and stress graphical visualization, units, and numerical answers. The techniques show the student how to learn the physics without being hung up on the math. There is a continuing movement to introduce more advanced computational methods into lower-level physics courses. Mathematica is a unique tool in that code is written as "human readable" much like one writes a traditional equation on the board. Key Features: Concise summary of the physics concepts. Over 300 worked examples in Mathematica. Tutorial to allow a beginner to produce fast results. The companion code for this book can be found here: https://physics.bu.edu/~rohlf/code.html James Rohlf is a Professor at Boston University. As a graduate student he worked on the first experiment to trigger on hadron jets with a calorimeter, Fermilab E260. His thesis (G. C. Fox, advisor, C. Barnes, R. P. Feynman, R. Gomez) used the model of Field and Feynman to compare observed jets from hadron collisions to that from electron-positron collisions and made detailed acceptance corrections to arrive at first the measurement of quark-quark scattering cross sections. His thesis is published in Nuclear Physics B171 (1980) 1. At the Cornell Electron Storage Rings, he worked on the discovery of the Upsilon (4S) resonance and using novel event shape variables developed by Stephen Wolfram and his thesis advisor, Geoffrey Fox. He performed particle identification of kaons and charmed mesons to establish the quark decay sequence, b –> c. At CERN, he worked on the discovery of the W and Z bosons and measurement of their properties. Presently, he is working on the Compact Muon Solenoid (CMS) experiment at the CERN Large Hadron Collider (LHC) which discovered the Higgs boson and is searching for new phenomena beyond the standard model.

An Advanced Course in Computational Nuclear Physics

Author : Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck
Publisher : Springer
Page : 644 pages
File Size : 43,9 Mb
Release : 2017-05-09
Category : Science
ISBN : 9783319533360

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An Advanced Course in Computational Nuclear Physics by Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck Pdf

This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components – quarks and gluons as the mediators of the strong force – to the computation of the equation of state for neutron star matter. The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.