Quantum Mechanics Using Computer Algebra

Author : Willi-Hans Steeb
Publisher : World Scientific
Page : 208 pages
File Size : 51,9 Mb
Release : 1994
Category : Science
ISBN : 9810217706

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Quantum Mechanics Using Computer Algebra by Willi-Hans Steeb Pdf

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,Yorick Hardy
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 44,9 Mb
Release : 2010-03-24
Category : Mathematics
ISBN : 9789813107892

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Quantum Mechanics Using Computer Algebra by Willi-Hans Steeb,Yorick Hardy Pdf

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 : Unknown
Page : 201 pages
File Size : 47,9 Mb
Release : 1994
Category : Electronic
ISBN : 9814447048

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Quantum Mechanics Using Computer Algebra by Willi-hans Steeb Pdf

Author : W.-H. Steeb,Yorick Hardy
Publisher : World Scientific Publishing Company Incorporated
Page : 234 pages
File Size : 45,9 Mb
Release : 2010
Category : Computers
ISBN : 9814307165

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Quantum Mechanics Using Computer Algebra by W.-H. Steeb,Yorick Hardy Pdf

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 : W.-H. Steeb,Yorick Hardy
Publisher : World Scientific
Page : 245 pages
File Size : 49,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814307178

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Quantum Mechanics Using Computer Algebra by W.-H. Steeb,Yorick Hardy Pdf

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 : Marko Horbatsch
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642795381

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Quantum Mechanics Using Maple ® by Marko Horbatsch Pdf

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 : Carsten Schneider,Johannes Blümlein
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 47,9 Mb
Release : 2013-10-05
Category : Science
ISBN : 9783709116166

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Computer Algebra in Quantum Field Theory by Carsten Schneider,Johannes Blümlein Pdf

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 : James F. Feagin
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 40,6 Mb
Release : 2002-01-08
Category : Science
ISBN : 0387953655

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Quantum Methods with Mathematica® by James F. Feagin Pdf

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 : Andreas Weber
Publisher : MDPI
Page : 160 pages
File Size : 42,5 Mb
Release : 2019-11-04
Category : Computers
ISBN : 9783039217304

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Computer Algebra in Scientific Computing by Andreas Weber Pdf

Although scientific computing is very often associated with numeric computations, the use of computer algebra methods in scientific computing has obtained considerable attention in the last two decades. Computer algebra methods are especially suitable for parametric analysis of the key properties of systems arising in scientific computing. The expression-based computational answers generally provided by these methods are very appealing as they directly relate properties to parameters and speed up testing and tuning of mathematical models through all their possible behaviors. This book contains 8 original research articles dealing with a broad range of topics, ranging from algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers over methods for certifying the isolated zeros of polynomial systems to computer algebra problems in quantum computing.

Author : Mikio Nakahara,Tetsuo Ohmi
Publisher : CRC Press
Page : 439 pages
File Size : 43,9 Mb
Release : 2008-03-11
Category : Mathematics
ISBN : 9781420012293

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Quantum Computing by Mikio Nakahara,Tetsuo Ohmi Pdf

Covering both theory and progressive experiments, Quantum Computing: From Linear Algebra to Physical Realizations explains how and why superposition and entanglement provide the enormous computational power in quantum computing. This self-contained, classroom-tested book is divided into two sections, with the first devoted to the theoretical aspect

Author : Alice Flarend,Robert Hilborn
Publisher : Oxford University Press
Page : 304 pages
File Size : 54,9 Mb
Release : 2022-03-21
Category : Science
ISBN : 9780192672704

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Quantum Computing: From Alice to Bob by Alice Flarend,Robert Hilborn Pdf

Quantum Computing: From Alice to Bob provides a distinctive and accessible introduction to the rapidly growing fields of quantum information science and quantum computing. The textbook is designed for undergraduate students and upper-level secondary school students with little or no background in physics, computer science, or mathematics beyond secondary school algebra and a bit of trigonometry. Higher education faculty members and secondary school mathematics, physics, and computer science educators who want to learn about quantum computing and perhaps teach a course accessible to students with wide-ranging backgrounds will also find the book useful and enjoyable. While broadly accessible, the textbook also provides a solid conceptual and formal understanding of quantum states and entanglement - the key ingredients in quantum computing. The authors dish up a hearty meal for the readers, disentangling and explaining many of the classic quantum algorithms that demonstrate how and when QC has an advantage over classical computers. The book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts.

Author : Frank Y. Wang
Publisher : John Wiley & Sons
Page : 625 pages
File Size : 55,9 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527618941

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Physics with MAPLE by Frank Y. Wang Pdf

Written by an experienced physicist who is active in applying computer algebra to relativistic astrophysics and education, this is the resource for mathematical methods in physics using MapleTM and MathematicaTM. Through in-depth problems from core courses in the physics curriculum, the author guides students to apply analytical and numerical techniques in mathematical physics, and present the results in interactive graphics. Around 180 simulating exercises are included to facilitate learning by examples. This book is a must-have for students of physics, electrical and mechanical engineering, materials scientists, lecturers in physics, and university libraries. * Free online MapleTM material at http://www.wiley-vch.de/templates/pdf/maplephysics.zip * Free online MathematicaTM material at http://www.wiley-vch.de/templates/pdf/physicswithmathematica.zip * Solutions manual for lecturers available at www.wiley-vch.de/supplements/

Author : Karl Gustafson
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461332589

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Quantum Mechanics in Mathematics, Chemistry, and Physics by Karl Gustafson Pdf

Author : Richard J. Lipton,Kenneth W. Regan
Publisher : MIT Press
Page : 207 pages
File Size : 46,6 Mb
Release : 2014-12-05
Category : Science
ISBN : 9780262028394

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Quantum Algorithms via Linear Algebra by Richard J. Lipton,Kenneth W. Regan Pdf

Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics. This introduction to quantum algorithms is concise but comprehensive, covering many key algorithms. It is mathematically rigorous but requires minimal background and assumes no knowledge of quantum theory or quantum mechanics. The book explains quantum computation in terms of elementary linear algebra; it assumes the reader will have some familiarity with vectors, matrices, and their basic properties, but offers a review of all the relevant material from linear algebra. By emphasizing computation and algorithms rather than physics, this primer makes quantum algorithms accessible to students and researchers in computer science without the complications of quantum mechanical notation, physical concepts, and philosophical issues. After explaining the development of quantum operations and computations based on linear algebra, the book presents the major quantum algorithms, from seminal algorithms by Deutsch, Jozsa, and Simon through Shor's and Grover's algorithms to recent quantum walks. It covers quantum gates, computational complexity, and some graph theory. Mathematical proofs are generally short and straightforward; quantum circuits and gates are used to illuminate linear algebra; and the discussion of complexity is anchored in computational problems rather than machine models. Quantum Algorithms via Linear Algebra is suitable for classroom use or as a reference for computer scientists and mathematicians.

Author : Luigi Accardi,Masanori Ohya
Publisher : World Scientific
Page : 398 pages
File Size : 55,9 Mb
Release : 2006
Category : Computers
ISBN : 9789812566140

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Quantum Information and Computing by Luigi Accardi,Masanori Ohya Pdf

The main purpose of this volume is to emphasize the multidisciplinary aspects of this very active new line of research in which concrete technological and industrial realizations require the combined efforts of experimental and theoretical physicists, mathematicians and engineers. Contents: Coherent Quantum Control of -Atoms Through the Stochastic Limit (L Accardi); Information, Innovation and Elemental Random Field (T Hida); Joint Extension of States of Fermion Subsystems (H Araki); Emergence of White Noise Equations from Classical Quantum Mechanics (A Boukas); Saturation of an Entropy Bound and Quantum Markov States (D Petz); Quantum Entanglement, Purification, and Linear-Optics Quantum Gates with Photonic Qubits (P Walther & A Zeilinger); Group Theory of Dynamical Maps (E C G Sudarshan); Quantum Logical Gates Realized by Beam Splittings (W Freudenberg et al.); Generalized Sectors and Adjunctions (I Ojima); Note on Quantum Mutual Type Measures and Capacity (N Watanabe); Structure of Linear Processes (S Si); An Infinite Dimensional Laplacian Acting on Some Class of Levy White Noise Functionals (K Saito); Fidelity of Quantum Teleportation Model Using Beam Splittings (K-H Fichtner et al.); Noncanonical Representations of a Multi-Dimensional Brownian Motion (Y Hibino); and other papers. Readership: Researchers in quantum physics and theoretical physics.