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Computer Algebra in Quantum Field Theory

2013-10-05 Science
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Release : 2013-10-05
Genre : Science
Kind : eBook
Book Rating : 163/5 ( reviews)

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Book Synopsis Computer Algebra in Quantum Field Theory by : Carsten Schneider

Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider. This book was released on 2013-10-05. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.

Quantum Mechanics Using Computer Algebra

2010 Mathematics
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Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 173/5 ( reviews)

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Book Synopsis Quantum Mechanics Using Computer Algebra by : W.-H. Steeb

Download or read book Quantum Mechanics Using Computer Algebra written by W.-H. Steeb. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: This book collects standard and advanced methods in quantum mechanics and implements them using SymbolicC++ and Maxima, two popular computer algebra packages. Throughout, the sample programs and their outputs are accompanied with explantory text of the underlying mathematics and physics explained in detail. Selected problems have also been implemented using two other popular packages --- Mathematica and Maple --- while some problems are implemented in C++. --

Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2nd Edition)

2010-03-24 Mathematics
Download Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2nd Edition) PDF Online Free

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Release : 2010-03-24
Genre : Mathematics
Kind : eBook
Book Rating : 898/5 ( reviews)

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Book Synopsis Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2nd Edition) by : Willi-hans Steeb

Download or read book Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2nd Edition) written by Willi-hans Steeb. This book was released on 2010-03-24. Available in PDF, EPUB and Kindle. Book excerpt: Solving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicians, engineers and others. Nowadays, the labor of scientific computation has been greatly eased by the advent of computer algebra packages, which do not merely perform number crunching, but also enable users to manipulate algebraic expressions and equations symbolically. For example, the manipulations of noncommutative operators, differentiation and integration can now be carried out algebraically by the computer algebra package.This book collects standard and advanced methods in quantum mechanics and implements them using SymbolicC++ and Maxima, two popular computer algebra packages. Throughout, the sample programs and their outputs are accompanied with explanatory text of the underlying mathematics and physics explained in detail. Selected problems have also been implemented using two other popular packages — Mathematica and Maple — while some problems are implemented in C++.Modern developments in quantum theory are covered extensively, beyond the standard quantum mechanical techniques. The new research topics added to this second edition are: entanglement, teleportation, Berry phase, Morse oscillator, Magnus expansion, wavelets, Pauli and Clifford groups, coupled Bose-Fermi systems, super-Lie algebras, etc.

Introduction to Algebraic Quantum Field Theory

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 793/5 ( reviews)

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Book Synopsis Introduction to Algebraic Quantum Field Theory by : S.S. Horuzhy

Download or read book Introduction to Algebraic Quantum Field Theory written by S.S. Horuzhy. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shel.f next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Introduction to Algebraic and Constructive Quantum Field Theory

2014-07-14 Science
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Release : 2014-07-14
Genre : Science
Kind : eBook
Book Rating : 507/5 ( reviews)

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Book Synopsis Introduction to Algebraic and Constructive Quantum Field Theory by : John C. Baez

Download or read book Introduction to Algebraic and Constructive Quantum Field Theory written by John C. Baez. This book was released on 2014-07-14. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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