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Quantum Mechanics Using Computer Algebra : Includes Sample Programs in C++, Symbolic C++, Maxima, Maple, and Mathematica by Yorick Hardy and Willi-Hans Steeb (2010, Hardcover)

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About this product

Product Identifiers

PublisherWorld Industries Scientific Publishing Co Pte LTD

ISBN-109814307165

ISBN-139789814307161

eBay Product ID (ePID)81809556

Product Key Features

SubjectPhysics / Quantum Theory, Programming / General, Algebra / General, Discrete Mathematics

Publication Year2010

Number of Pages244 Pages

Publication NameQuantum Mechanics Using Computer Algebra : Includes Sample Programs in C++, Symbolic C++, Maxima, Maple, and Mathematica

LanguageEnglish

TypeTextbook

AuthorYorick Hardy, Willi-Hans Steeb

Subject AreaMathematics, Computers, Science

FormatHardcover

Additional Product Features

Edition Number2

SynopsisSolving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicans, 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., 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.

LC Classification NumberQC174.17.D37