Using Mathematica For Quantum Mechanics

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Using Mathematica for Quantum Mechanics

Roman Schmied
Using Mathematica for Quantum Mechanics Book PDF

Author : Roman Schmied
Publisher : Springer Nature
Page : 193 pages
File Size : 46,9 Mb
Release : 2019-09-28
Category : Science
ISBN : 9789811375880

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Using Mathematica for Quantum Mechanics by Roman Schmied Pdf

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.

Mathematica for Theoretical Physics

Gerd Baumann
Mathematica for Theoretical Physics Book PDF

Author : Gerd Baumann
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 48,5 Mb
Release : 2006-01-16
Category : Science
ISBN : 9780387251134

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Mathematica for Theoretical Physics by Gerd Baumann Pdf

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

Quantum Methods with Mathematica®

James F. Feagin
Quantum Methods with Mathematica Book PDF

Author : James F. Feagin
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 50,7 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.

Quantum Mechanics Using Computer Algebra

Willi-Hans Steeb,Yorick Hardy
Quantum Mechanics Using Computer Algebra Book PDF

Author : Willi-Hans Steeb,Yorick Hardy
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 48,7 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.

Quantum Mechanics Using Computer Algebra

Willi-Hans Steeb
Quantum Mechanics Using Computer Algebra Book PDF

Author : Willi-Hans Steeb
Publisher : World Scientific
Page : 208 pages
File Size : 46,5 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.

Mathematica for Physics

Robert L. Zimmerman,Fredrick Iver Olness
Mathematica for Physics Book PDF

Author : Robert L. Zimmerman,Fredrick Iver Olness
Publisher : Addison-Wesley
Page : 682 pages
File Size : 43,8 Mb
Release : 2002
Category : Computers
ISBN : UCSC:32106016972462

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Mathematica for Physics by Robert L. Zimmerman,Fredrick Iver Olness Pdf

An appropriate supplement for any undergraduate or graduate course in physics, Mathematica ̈ for Physics uses the power of Mathematica ̈ to visualize and display physics concepts and generate numerical and graphical solutions to physics problems. Throughout the book, the complexity of both physics and Mathematica ̈ is systematically extended to broaden the range of problems that can be solved.

Quantum Mechanics in Matrix Form

Günter Ludyk
Quantum Mechanics in Matrix Form Book PDF

Author : Günter Ludyk
Publisher : Springer
Page : 214 pages
File Size : 46,5 Mb
Release : 2017-10-25
Category : Science
ISBN : 9783319263663

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Quantum Mechanics in Matrix Form by Günter Ludyk Pdf

This book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrödinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the historical development of Quantum theory by Planck, Bohr and Sommerfeld is sketched, followed by the ideas and methods of Heisenberg, Born and Jordan. Then Pauli's spin and exclusion principles are treated. Pauli's exclusion principle leads to the structure of atoms. Finally, Dirac ́s relativistic quantum mechanics is shortly presented. Matrices and matrix equations are today easy to handle when implementing numerical algorithms using standard software as MAPLE and Mathematica.

Mathematica for Theoretical Physics

Gerd Baumann
Mathematica for Theoretical Physics Book PDF

Author : Gerd Baumann
Publisher : Springer
Page : 0 pages
File Size : 41,7 Mb
Release : 2008-11-01
Category : Science
ISBN : 0387501290

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Mathematica for Theoretical Physics by Gerd Baumann Pdf

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

Quantum Mechanics for Mathematicians

Leon Armenovich Takhtadzhi͡an
Quantum Mechanics for Mathematicians Book PDF

Author : Leon Armenovich Takhtadzhi͡an
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 52,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9780821846308

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Quantum Mechanics for Mathematicians by Leon Armenovich Takhtadzhi͡an Pdf

Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.

Quantum Methods with Mathematica®

James F. Feagin
Quantum Methods with Mathematica Book PDF

Author : James F. Feagin
Publisher : Springer
Page : 0 pages
File Size : 55,7 Mb
Release : 2002-01-22
Category : Science
ISBN : 1461243289

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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.

Continuum Mechanics using Mathematica®

Antonio Romano,Addolorata Marasco
Continuum Mechanics using Mathematica Book PDF

Author : Antonio Romano,Addolorata Marasco
Publisher : Springer
Page : 489 pages
File Size : 54,9 Mb
Release : 2014-10-14
Category : Science
ISBN : 9781493916047

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Continuum Mechanics using Mathematica® by Antonio Romano,Addolorata Marasco Pdf

This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Introductory Quantum Mechanics

Paul R. Berman
Introductory Quantum Mechanics Book PDF

Author : Paul R. Berman
Publisher : Springer
Page : 637 pages
File Size : 55,6 Mb
Release : 2017-12-26
Category : Science
ISBN : 9783319685984

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Introductory Quantum Mechanics by Paul R. Berman Pdf

This book presents a basic introduction to quantum mechanics. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems students encounter when they first study quantum mechanics. Wherever possible, examples are given to illustrate the underlying physics associated with the mathematical equations of quantum mechanics. To this end, connections are made with corresponding phenomena in classical mechanics and electromagnetism. The problems at the end of each chapter are intended to help students master the course material and to explore more advanced topics. Many calculations exploit the extraordinary capabilities of computer programs such as Mathematica, MatLab, and Maple. Students are urged to use these programs, just as they had been urged to use calculators in the past. The treatment of various topics is rather complete, in that most steps in derivations are included. Several of the chapters go beyond what is traditionally covered in an introductory course. The goal of the presentation is to provide the students with a solid background in quantum mechanics.

Visual Quantum Mechanics

Bernd Thaller
Visual Quantum Mechanics Book PDF

Author : Bernd Thaller
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 51,7 Mb
Release : 2007-05-08
Category : Science
ISBN : 9780387227702

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Visual Quantum Mechanics by Bernd Thaller Pdf

"Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.

Mathematica for Theoretical Physics

Gerd Baumann
Mathematica for Theoretical Physics Book PDF

Author : Gerd Baumann
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 41,5 Mb
Release : 2006-01-16
Category : Science
ISBN : 9780387251127

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Mathematica for Theoretical Physics by Gerd Baumann Pdf

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment. Notebooks for problem solving and learning.

Mathematics, Physics & Chemistry With The Wolfram Language

S M Blinder
Mathematics Physics Chemistry With The Wolfram Language Book PDF

Author : S M Blinder
Publisher : World Scientific
Page : 444 pages
File Size : 45,7 Mb
Release : 2022-02-18
Category : Computers
ISBN : 9789811247200

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Mathematics, Physics & Chemistry With The Wolfram Language by S M Blinder Pdf

The Wolfram language is the programming language of Mathematica, used increasingly by scientists due to its ease of learning and user-friendliness. This book focuses on applications of the Wolfram language to applied mathematics, physics and chemistry. Topics discussed are broad and comprehensive, from differential equations and special functions to fractals and chess, from electromagnetism and optics to relativity and black holes. There is also extensive coverage of quantum theory and quantum chemistry, and the book is peppered with more than 200 color graphics to aid visualization of these concepts. The program codes are provided online as Mathematica notebooks, allowing readers to modify them and manipulate the graphics in real time. This book should be a valuable resource for researchers, educators and students in science and computing who can profit from a more interactive form of instruction.