Quantum Mechanics Using Maple

and finally the radial integral: > Ir: =int (Itheta, r=0 . . infinity); Ir:= —48T As we haven't normalized our states beforehand, we should do so now. We request the calculation of the norm integral for the 2p state with a single ...

Author: Marko Horbatsch

Publisher: Springer Science & Business Media

ISBN: 3642795382

Category: Science

Page: 331

View: 467

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.

Mathematical Computation with Maple V Ideas and Applications

In order to describe a particle at a local position in quantum mechanics, it is necessary to construct a wave packet. A free electron wave function with momentum p is -1/2 +. "p = (27th) *#" (3.1a), which satisfies the time-dependent ...

Author: Thomas Lee

Publisher: Springer Science & Business Media

ISBN: 1461203511

Category: Computers

Page: 199

View: 714

Developments in both computer hardware and Perhaps the greatest impact has been felt by the software over the decades have fundamentally education community. Today, it is nearly changed the way people solve problems. impossible to find a college or university that has Technical professionals have greatly benefited not introduced mathematical computation in from new tools and techniques that have allowed some form, into the curriculum. Students now them to be more efficient, accurate, and creative have regular access to the amount of in their work. computational power that were available to a very exclusive set of researchers five years ago. This Maple V and the new generation of mathematical has produced tremendous pedagogical computation systems have the potential of challenges and opportunities. having the same kind of revolutionary impact as high-level general purpose programming Comparisons to the calculator revolution of the languages (e.g. FORTRAN, BASIC, C), 70's are inescapable. Calculators have application software (e.g. spreadsheets, extended the average person's ability to solve Computer Aided Design - CAD), and even common problems more efficiently, and calculators have had. Maple V has amplified our arguably, in better ways. Today, one needs at mathematical abilities: we can solve more least a calculator to deal with standard problems problems more accurately, and more often. In in life -budgets, mortgages, gas mileage, etc. specific disciplines, this amplification has taken For business people or professionals, the excitingly different forms.

Maple V by Example

Enns , R. , and McGuire , G. Nonlinear Physics with Maple for Scientists and Engineers . Birkhäuser , 1997 Greene , R. Classical Mechanics with Maple . Springer - Verlag , 1995 . ... Horbatsch , M. Quantum Mechanics Using Maple .

Author: Martha L. Abell

Publisher: Elsevier

ISBN: 9780120415588

Category: Mathematics

Page: 644

View: 120

Maple V By Example, Second Edition bridges the gap between the very elementary handbooks addressing Maple V and the reference books written for advanced Maple V users. Whereas the First Edition focuses on Release 2 of Maple V, the vehicle for the Second Edition is Maple V, Version 5. The new edition remains an appropriate reference for all users of Maple V but is of particular value to students, instructors, engineers, business persons, and other professionals first learning to use Maple V.

Quantum Mechanics Using Computer Algebra

Includes Sample Programs in C++, SymbolicC++, Maxima, Maple, and Mathematica W.-H. Steeb, Yorick Hardy. We calculate R-lD{E)R, FTlD{C3)R, Br^DiC^R, R-lD{al)R1 R-lD{o2)R, R~1D{a3)R and find the resulting matrices are the direct sum of a ...

Author: W.-H. Steeb

Publisher: World Scientific

ISBN: 9814307173

Category: Mathematics

Page: 234

View: 724

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++. --

Visual Quantum Mechanics

Selected Topics with Computer-Generated Animations of Quantum-Mechanical Phenomena Bernd Thaller. [28] N. J. B. Green. ... In Search of Schrödinger's Cat : Quantum Physics and Reality. ... Quantum Mechanics Using Maple.

Author: Bernd Thaller

Publisher: Springer Science & Business Media

ISBN: 0387227709

Category: Science

Page: 283

View: 320

"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.

Quantum Mechanics with Applications

(c) Plot, using MAPLE or Mathematica the energy of the final beam as a function of the extraction angle. 4. The energy released by the hydrogen atom in 2p → 1s transition is given by ΔE=R∞ ( 1n2−1m2 ) where n = 1, m = 2 and R∞ =13.6 ...

Author: Iraj R. Afnan

Publisher: Bentham Science Publishers

ISBN: 1608052508

Category: Science

Page: 350

View: 223

"The ebook introduces undergraduate students to the basic skills required to use non-relativistic quantum mechanics for bound and scattering problems in atomic, molecular and nuclear physics. Initial emphasis is on problems that admit analytic solutions. T"

Handbook on Information Technologies for Education and Training

Applied Mathematical Physics with Programmable Pocket Calculators . New York : McGraw - Hill . ... Quantum Science Across Disciplines , http://qsad.bu.edu/ Gass , R. ( 1997 ) . ... Quantum Mechanics Using Maple .

Author: Heimo H. Adelsberger

Publisher: Springer Science & Business Media

ISBN: 9783540678038

Category: Computers

Page: 688

View: 119

Information Technologies for Education and Training have gained increasing atten tion and significance in the past decade. Accordingly, the availability of an enormous amount of information sources through the Internet, the technological progress in the ICT sector, and an increasing flexibility in organizations and enterprises have accelerated the information and knowledge growth in our society. Knowledge and Lifelong Learning have become critical success factors for the long-term positioning on the global market. Recent mergers of globally distributed enterprises show that knowledge has to be available and transferable within a short time frame. Global, flexible, and service-oriented organizations need highly qualified employees. These trends also show the rapidly growing significance of new aspects of ba sie and further education. Traditional education, ending with a graduation, will be complemented by a lifelong leaming process. Every individual is required to contin uously leam new and changing knowledge. Consequently, the support of leaming processes through innovative technologies becomes an elementary component of every educationallevel. The Handbook is a comprehensive guide for researchers and practitioners work ing with Educational Technologies. lts overall goal is to enable the reader to gain a deep understanding of past, current, and future research and applications in the field of Educational Technologies. It will provide a reference source for both practitioners and researchers in the enterprise and educational sector. From a research perspective, the reader will gain an in-depth understanding of complex theories, strategies, concepts, and methods of Educational Technologies.

Nonlinear Physics with Maple for Scientists and Engineers

MF50 Quantum Mechanical Tunnelling In this file , the problem of quantum mechanical tunnelling through a ... The important point is that their are four boundary conditions to determine the four unknown coefficients R , T , a , and ß .

Author: Richard H. Enns

Publisher: Springer Science & Business Media

ISBN: 9780817641191

Category: Science

Page: 690

View: 985

Philosophy of the Text This text presents an introductory survey of the basic concepts and applied mathematical methods of nonlinear science as well as an introduction to some simple related nonlinear experimental activities. Students in engineering, phys ics, chemistry, mathematics, computing science, and biology should be able to successfully use this book. In an effort to provide the reader with a cutting edge approach to one of the most dynamic, often subtle, complex, and still rapidly evolving, areas of modern research-nonlinear physics-we have made extensive use of the symbolic, numeric, and plotting capabilities of the Maple software sys tem applied to examples from these disciplines. No prior knowledge of Maple or computer programming is assumed, the reader being gently introduced to Maple as an auxiliary tool as the concepts of nonlinear science are developed. The CD-ROM provided with this book gives a wide variety of illustrative non linear examples solved with Maple. In addition, numerous annotated examples are sprinkled throughout the text and also placed on the CD. An accompanying set of experimental activities keyed to the theory developed in Part I of the book is given in Part II. These activities allow the student the option of "hands on" experience in exploring nonlinear phenomena in the REAL world. Although the experiments are easy to perform, they give rise to experimental and theoretical complexities which are not to be underestimated.

Quantum Physics

Schiff, L. I.: Quantum Mechanics (McGraw-Hill 1968) Schwinger, J.: Quantum Mechanics, Symbolism of Atomic ... M.: Quantum Mechanics using Maple (Springer, Berlin, Heidelberg 1995) Selected Books on Relativistic Quantum Theory and ...

Author: Florian Scheck

Publisher: Springer Science & Business Media

ISBN: 3642345638

Category: Science

Page: 741

View: 862

Scheck’s Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertainty relations to many-body systems. Part Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions or hints, enables the book’s use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices covering mathematical fundamentals and enrichment topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory. The new edition was thoroughly revised and now includes new sections on quantization using the path integral method and on deriving generalized path integrals for bosonic and fermionic fields.

Quantum Mechanics Using Computer Algebra

Includes Sample Programs for REDUCE, MAPLE, MATHEMATICA and C++ Willi-Hans Steeb. 53. Group Theory Finite group theory plays an important role in quantum mechanics . First we introduce the definition of a group and describe some ...

Author: Willi-Hans Steeb

Publisher: World Scientific

ISBN: 9789810217709

Category: Science

Page: 189

View: 158

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.