Quantum Mechanics Using Computer Algebra

Author : Willi-Hans Steeb
Publisher : World Scientific
ISBN 13 : 9789810217709
Total Pages : 208 pages
Book Rating : 4.06/5 ( download)

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Download or read book Quantum Mechanics Using Computer Algebra written by Willi-Hans Steeb and published by World Scientific. This book was released on 1994 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving problems in quantum mechanics is an essential skill and research activity for scientists, engineers and others. Nowadays the labor of scientific computation has been greatly eased by the advent of computer algebra packages. These do not merely perform number-crunching tasks, but enable users to manipulate algebraic expressions and equations symbolically. For example, differentiation and integration can now be carried out algebraically by the computer.This book collects standard and advanced methods in quantum mechanics and implements them using REDUCE, a popular computer algebra package. Throughout, sample programs and their output have been displayed alongside explanatory text, making the book easy to follow. Selected problems have also been implemented using two other popular packages, MATHEMATICA and MAPLE, and in the object-oriented programming language C++.Besides standard quantum mechanical techniques, modern developments in quantum theory are also covered. These include Fermi and Bose Operators, coherent states, gauge theory and quantum groups. All the special functions relevant to quantum mechanics (Hermite, Chebyshev, Legendre and more) are implemented.The level of presentation is such that one can get a sound grasp of computational techniques early on in one's scientific education. A careful balance is struck between practical computation and the underlying mathematical concepts, making the book well-suited for use with quantum mechanics courses.

Author : Willi-Hans Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107898
Total Pages : 244 pages
Book Rating : 4.92/5 ( download)

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Download or read book Quantum Mechanics Using Computer Algebra written by Willi-Hans Steeb and published by World Scientific Publishing Company. This book was released on 2010-03-24 with total page 244 pages. 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.

Author : Willi-hans Steeb
Publisher :
ISBN 13 : 9789814447041
Total Pages : 201 pages
Book Rating : 4.48/5 ( download)

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Download or read book Quantum Mechanics Using Computer Algebra written by Willi-hans Steeb and published by . This book was released on 1994 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : W.-H. Steeb
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814307161
Total Pages : 234 pages
Book Rating : 4.65/5 ( download)

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Download or read book Quantum Mechanics Using Computer Algebra written by W.-H. Steeb and published by World Scientific Publishing Company Incorporated. This book was released on 2010 with total page 234 pages. 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++. --

Author : Carsten Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 3709116163
Total Pages : 422 pages
Book Rating : 4.66/5 ( download)

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Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. 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.

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 146120013X
Total Pages : 273 pages
Book Rating : 4.30/5 ( download)

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Download or read book Computer Algebra Recipes for Classical Mechanics written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a standalone, but the recipes are correlated with topics found in standard texts, and make use of MAPLE (Release 7). As a reference text, or self-study guide this book is useful for science professionals and engineers.; Good for the classroom correlates with topics found in standard classical mechanics texts.; This book makes use of the powerful computer algebra system MAPLE (Release 7) but no prior knowledge of MAPLE is presumed.; The relevant command structures are explained on a need-to-know basis as the recipes are developed, thus making this a standalone text.

Author : Marko Horbatsch
Publisher : Springer Science & Business Media
ISBN 13 : 3642795382
Total Pages : 343 pages
Book Rating : 4.81/5 ( download)

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Download or read book Quantum Mechanics Using Maple ® written by Marko Horbatsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Mechanics Using Maple permits the study of quantum mechanics in a novel, interactive way using the computer algebra and graphics system Maple V. Usually the physics student is distracted from understanding the concepts of modern physics by the need to master unfamiliar mathematics at the same time. In 39 guided Maple sessions the reader explores many standard quantum mechanics problems, as well as some advanced topics that introduce approximation techniques. A solid knowledge of Maple V is acquired as it applies to advanced mathematics relevant for engineering, physics, and applied mathematics. The diskette contains 39 Maple V for Windows worksheet files to reproduce all the problems presented in the text. The suggested exercises can be performed with a minimum of typing.

Author : W.-H. Steeb
Publisher : World Scientific
ISBN 13 : 9814307173
Total Pages : 245 pages
Book Rating : 4.78/5 ( download)

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Download or read book Quantum Mechanics Using Computer Algebra written by W.-H. Steeb and published by World Scientific. This book was released on 2010 with total page 245 pages. 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++. --

Author : James F. Feagin
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953656
Total Pages : 508 pages
Book Rating : 4.55/5 ( download)

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Download or read book Quantum Methods with Mathematica® written by James F. Feagin and published by Springer Science & Business Media. This book was released on 2002-01-08 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feagin's book was the first publication dealing with Quantum Mechanics using Mathematica, the popular software distributed by Wolfram Research, and designed to facilitate scientists and engineers to do difficult scientific computations more quickly and more easily. Quantum Methods with Mathematica, the first book of ist kind, has achieved worldwide success and critical acclaim.

Author : Hazel Cox
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.09/5 ( download)

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Download or read book The Quantum-mechanical Three-body Problem Using Computer Algebra written by Hazel Cox and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: