Computation In Modern Physics (Third Edition)
Computation In Modern Physics (Third Edition)

Author: William R Gibbs

Publisher: World Scientific Publishing Company

Published: 2006-05-05

Total Pages: 380

ISBN-13: 9813106700

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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
Computation in Modern Physics

Author: William R. Gibbs

Publisher: World Scientific

Published: 2006

Total Pages: 0

ISBN-13: 9812567992

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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.

Modern Physics with Modern Computational Methods
Modern Physics with Modern Computational Methods

Author: John Morrison

Publisher: Academic Press

Published: 2020-10-13

Total Pages: 500

ISBN-13: 0128177918

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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
Computation in Modern Physics

Author: Gibbs

Publisher:

Published: 2004-01

Total Pages:

ISBN-13: 9789812385895

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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.

Modern Physics
Modern Physics

Author: Robert L. Sproull

Publisher: Courier Dover Publications

Published: 2015-01-19

Total Pages: 708

ISBN-13: 0486802264

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This introduction to the concepts and methods of quantum mechanics employs the analysis of one-dimensional problems to offer students a quantitative understanding of atomic, molecular, solid-state, and nuclear physics. Applications of these concepts and methods help answer the most intriguing questions of modern physics: What holds matter together? Holds it apart? How does the variety of chemical properties of different elements arise? How do electrons move through solids? Why do nuclei that occur in nature possess only certain combinations of protons and neutrons? The text presents meaningful problems by topic — supplemented by ample illustrations, applications, and exercises — that address the most intriguing questions of modern physics. Answers to selected problems appear in the appendix. Geared toward science and engineering majors, this volume is also appropriate for independent study by those who have completed a general physics course.

Effective Computation in Physics
Effective Computation in Physics

Author: Anthony Scopatz

Publisher: "O'Reilly Media, Inc."

Published: 2015-06-25

Total Pages: 567

ISBN-13: 1491901586

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More physicists today are taking on the role of software developer as part of their research, but software development isnâ??t always easy or obvious, even for physicists. This practical book teaches essential software development skills to help you automate and accomplish nearly any aspect of research in a physics-based field. Written by two PhDs in nuclear engineering, this book includes practical examples drawn from a working knowledge of physics concepts. Youâ??ll learn how to use the Python programming language to perform everything from collecting and analyzing data to building software and publishing your results. In four parts, this book includes: Getting Started: Jump into Python, the command line, data containers, functions, flow control and logic, and classes and objects Getting It Done: Learn about regular expressions, analysis and visualization, NumPy, storing data in files and HDF5, important data structures in physics, computing in parallel, and deploying software Getting It Right: Build pipelines and software, learn to use local and remote version control, and debug and test your code Getting It Out There: Document your code, process and publish your findings, and collaborate efficiently; dive into software licenses, ownership, and copyright procedures

Computational Physics
Computational Physics

Author: Philipp Scherer

Publisher: Springer Science & Business Media

Published: 2013-07-17

Total Pages: 456

ISBN-13: 3319004018

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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.

Computational Physics
Computational Physics

Author: Rubin H. Landau

Publisher: John Wiley & Sons

Published: 2024-03-20

Total Pages: 597

ISBN-13: 3527843310

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Computational Physics The classic in the field for more than 25 years, now with increased emphasis on data science and new chapters on quantum computing, machine learning (AI), and general relativity Computational physics combines physics, applied mathematics, and computer science in a cutting-edge multidisciplinary approach to solving realistic physical problems. It has become integral to modern physics research because of its capacity to bridge the gap between mathematical theory and real-world system behavior. Computational Physics provides the reader with the essential knowledge to understand computational tools and mathematical methods well enough to be successful. Its philosophy is rooted in “learning by doing”, assisted by many sample programs in the popular Python programming language. The first third of the book lays the fundamentals of scientific computing, including programming basics, stable algorithms for differentiation and integration, and matrix computing. The latter two-thirds of the textbook cover more advanced topics such linear and nonlinear differential equations, chaos and fractals, Fourier analysis, nonlinear dynamics, and finite difference and finite elements methods. A particular focus in on the applications of these methods for solving realistic physical problems. Readers of the fourth edition of Computational Physics will also find: An exceptionally broad range of topics, from simple matrix manipulations to intricate computations in nonlinear dynamics A whole suite of supplementary material: Python programs, Jupyter notebooks and videos Computational Physics is ideal for students in physics, engineering, materials science, and any subjects drawing on applied physics.