Quantum Mechanics Using Computer Algebra
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Quantum Mechanics Using Computer Algebra
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Author : Willi-Hans Steeb
language : en
Publisher: World Scientific
Release Date : 1994
Quantum Mechanics Using Computer Algebra written by Willi-Hans Steeb and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
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.
Quantum Mechanics Using Computer Algebra
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Author : W.-H. Steeb
language : en
Publisher: World Scientific
Release Date : 2010
Quantum Mechanics Using Computer Algebra written by W.-H. Steeb and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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
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Author : W.-H. Steeb
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2010
Quantum Mechanics Using Computer Algebra written by W.-H. Steeb and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
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
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Author : Willi-hans Steeb
language : en
Publisher:
Release Date : 1994
Quantum Mechanics Using Computer Algebra written by Willi-hans Steeb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Quantum Mechanics Using Maple
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Author : Marko Horbatsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Mechanics Using Maple written by Marko Horbatsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Using Mathematica For Quantum Mechanics
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Author : Roman Schmied
language : en
Publisher: Springer Nature
Release Date : 2019-09-28
Using Mathematica For Quantum Mechanics written by Roman Schmied and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-28 with Science categories.
This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.
Quantum Mechanics Built On Algebraic Geometry
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Author : Akihito Kikuchi
language : en
Publisher:
Release Date : 2021-01-04
Quantum Mechanics Built On Algebraic Geometry written by Akihito Kikuchi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-04 with categories.
This book presents a novel standpoint concerning contemporary physics, namely, quantum mechanics with a view toward algebraic geometry. As is well-known, algebraic geometry is the study of geometric objects delineated by polynomials, and the polynomial representations are ubiquitous in physics. For this reason, quantum mechanics is also an object of algebraic geometry. An example is the eigenvalue problem. It is a set of polynomial equations and has traditionally been the question of linear algebra. However, the modern method of computational algebraic geometry accurately unravels the information encapsulated in the polynomials. This approach shall not remain as a plaything. It has betokened an innovative style of electronic structure computation. The objects of this new method include the simultaneous determination of the wave-functions and the movements of nuclei, or the prediction of the required structure that shall show the desired property. Accordingly, this book explains the basic ideas of computational algebraic geometry and related topics, such as Groebner bases, primary ideal decomposition, Dmodules, Galois, class field theory, etc. The intention of the author is, nevertheless, not to give an irksome list of abstract concepts. He hopes that the readers shall use algebraic geometry as the active tool of the computations. For this reason, this book abundantly presents the model computations, by which the readers shall learn how to apply algebraic geometry toward quantum mechanics. The readers shall also see the modern computer algebra could facilitate the study when you would like to apply abstract mathematical ideas to definite physical problems.
Computer Algebra Recipes For Mathematical Physics
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Author : Richard H. Enns
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Computer Algebra Recipes For Mathematical Physics written by Richard H. Enns and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. Key features: * Uses the MAPLE computer algebra system to allow the reader to easily and quickly change the mathematical models and the parameters and then generate new answers * No prior knowledge of MAPLE is assumed; the relevant MAPLE commands are introduced on a need-to-know basis * All MAPLE commands are indexed for easy reference * A classroom-tested story/anecdote format is used, accompanied with amusing or thought-provoking quotations This is a self-contained and standalone text, similar in style and format to Computer Algebra Recipes: A Gourmet's Guide to Mathematical Models of Science (ISBN 0-387-95148-2), Springer New York 2001 and Computer Algebra Recipes for Classical Mechanics (ISBN 0-8176-4291-9), Birkhäuser 2003. Computer Algebra Recipes for Mathematical Physics may be used in the classroom, for self-study, as a reference, or as a text for an online course.
Lectures On Quantum Mechanics
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Author : Philip L. Bowers
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-17
Lectures On Quantum Mechanics written by Philip L. Bowers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-17 with Science categories.
A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.
Symbolicc An Introduction To Computer Algebra Using Object Oriented Programming
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Author : Kiat Shi Tan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Symbolicc An Introduction To Computer Algebra Using Object Oriented Programming written by Kiat Shi Tan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Symbolic C++: An Introduction to Computer Algebra Using Object-Oriented Programming provides a concise introduction to C++ and object-oriented programming, using a step-by-step construction of a new object-oriented designed computer algebra system - Symbolic C++. It shows how object-oriented programming can be used to implement a symbolic algebra system and how this can then be applied to different areas in mathematics and physics. This second revised edition:- * Explains the new powerful classes that have been added to Symbolic C++. * Includes the Standard Template Library. * Extends the Java section. * Contains useful classes in scientific computation. * Contains extended coverage of Maple, Mathematica, Reduce and MuPAD.