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Advanced Visual Quantum Mechanics

Author: Bernd Thaller
Publisher: Springer Science & Business Media
ISBN: 9780387271279
Size: 37.78 MB
Format: PDF
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Visual Quantum Mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer-generated animations. Although it is self-contained, this book is part of a two-volume set on Visual Quantum Mechanics. The first book appeared in 2000, and earned the European Academic Software Award in 2001 for oustanding innovation in its field. While topics in book one mainly concerned quantum mechanics in one- and two-dimensions, book two sets out to present three-dimensional systems, the hydrogen atom, particles with spin, and relativistic particles. Together the two volumes constitute a complete course in quantum mechanics that places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical rigor.

Visual Quantum Mechanics

Author: Bernd Thaller
Publisher: Springer Science & Business Media
ISBN: 0387227709
Size: 43.82 MB
Format: PDF, ePub, Mobi
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"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.

Advanced Visual Quantum Mechanics

Author: Robert B. Griffiths
Publisher:
ISBN: 9781681179810
Size: 50.74 MB
Format: PDF, ePub, Mobi
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Quantum mechanics is an imperative academic achievement of the 20th century. It is one of the more complicated fields in physics that has exaggerated our understanding of nano-meter length scale systems vital for chemistry, materials, optics, and electronics. Quantum mechanics has played an important role in photonics, quantum electronics, and micro-electronics. But many more emerging technologies require the understanding of quantum mechanics; and hence, it is important that scientists and engineers understand quantum mechanics better. In the strange world of quantum mechanics the application of visualization techniques is largely pleasing, for it allows us to portray phenomena that cannot be seen by any other means. Visual Quantum Mechanics relies a great deal on visualization as a tool for mediating details knowledge. Advanced Visual Quantum Mechanics is intended to explain the basic concepts and phenomena of quantum mechanics by means of visualisation. With an introduction to quantum information theory, this book integrates selected topics from atomic physics - spherical symmetry, the hydrogen atom, and particles with spin. There have been tremendous strides in the field of quantum information, this book introduces relativistic quantum theory, emphasizing its important applications in condensed matter physics. It explores relativistic quantum mechanics and the strange behavior of Dirac equation solutions. The book places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical thoroughness. This book will serve as valuable guide to instruct quantum mechanics to graduate students, engineers, as well as for researchers and scientists.

The Dirac Equation

Author: Bernd Thaller
Publisher: Springer Science & Business Media
ISBN: 3662027534
Size: 20.21 MB
Format: PDF, ePub
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Ever since its invention in 1929 the Dirac equation has played a fundamental role in various areas of modern physics and mathematics. Its applications are so widespread that a description of all aspects cannot be done with sufficient depth within a single volume. In this book the emphasis is on the role of the Dirac equation in the relativistic quantum mechanics of spin-1/2 particles. We cover the range from the description of a single free particle to the external field problem in quantum electrodynamics. Relativistic quantum mechanics is the historical origin of the Dirac equation and has become a fixed part of the education of theoretical physicists. There are some famous textbooks covering this area. Since the appearance of these standard texts many books (both physical and mathematical) on the non relativistic Schrodinger equation have been published, but only very few on the Dirac equation. I wrote this book because I felt that a modern, comprehensive presentation of Dirac's electron theory satisfying some basic requirements of mathematical rigor was still missing.

The Principles Of Quantum Mechanics

Author: Paul Adrien Maurice Dirac
Publisher: Oxford University Press
ISBN: 9780198520115
Size: 22.58 MB
Format: PDF, ePub, Mobi
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The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.

Quantum Mechanics

Author: Mark Beck
Publisher: Oxford University Press
ISBN: 0199798230
Size: 34.89 MB
Format: PDF, ePub
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This textbook presents quantum mechanics at the junior/senior undergraduate level. It is unique in that it describes not only quantum theory, but also presents five laboratories that explore truly modern aspects of quantum mechanics. These laboratories include "proving" that light contains photons, single-photon interference, and tests of local realism. The text begins by presenting the classical theory of polarization, moving on to describe the quantum theory of polarization. Analogies between the two theories minimize conceptual difficulties that students typically have when first presented with quantum mechanics. Furthermore, because the laboratories involve studying photons, using photon polarization as a prototypical quantum system allows the laboratory work to be closely integrated with the coursework. Polarization represents a two-dimensional quantum system, so the introduction to quantum mechanics uses two-dimensional state vectors and operators. This allows students to become comfortable with the mathematics of a relatively simple system, before moving on to more complicated systems. After describing polarization, the text goes on to describe spin systems, time evolution, continuous variable systems (particle in a box, harmonic oscillator, hydrogen atom, etc.), and perturbation theory. The book also includes chapters which describe material that is frequently absent from undergraduate texts: quantum measurement, entanglement, quantum field theory and quantum information. This material is connected not only to the laboratories described in the text, but also to other recent experiments. Other subjects covered that do not often make their way into undergraduate texts are coherence, complementarity, mixed states, the density operator and coherent states. Supplementary material includes further details about implementing the laboratories, including parts lists and software for running the experiments. Computer simulations of some of the experiments are available as well. A solutions manual for end-of-chapter problems is available to instructors.

Introduction To Perturbation Theory In Quantum Mechanics

Author: Francisco M. Fernandez
Publisher: CRC Press
ISBN: 1420039644
Size: 57.70 MB
Format: PDF, Docs
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Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation Introduction to Perturbation Theory in Quantum Mechanics does. It collects into a single source most of the techniques for applying the theory to the solution of particular problems. Concentrating on problems that allow exact analytical solutions of the perturbation equations, the book resorts to numerical results only when necessary to illustrate and complement important features of the theory. The author also compares different methods by applying them to the same models so that readers clearly understand why one technique may be preferred over another. Demonstrating the application of similar techniques in quantum and classical mechanics, Introduction to Perturbation Theory in Quantum Mechanics reveals the underlying mathematics in seemingly different problems. It includes many illustrative examples that facilitate the understanding of theoretical concepts, and provides a source of ideas for many original research projects.

The Picture Book Of Quantum Mechanics

Author: Siegmund Brandt
Publisher: Springer Science & Business Media
ISBN: 1461439515
Size: 53.97 MB
Format: PDF
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The aim of this book is to explain the basic concepts and phenomena of quantum mechanics by means of visualisation. Computer-generated illustrations in color are used extensively throughout the text, helping to establish the relation between quantum mechanics—wave functions, interference, atomic structure, and so forth—and classical physics—point mechanics, statistical mechanics, and wave optics. Even more important, by studying the pictures in parallel with the text, readers develop an intuition for such notoriously abstract phenomena as: the tunnel effect excitation and decay of metastable states wave-packet motion within a well systems of distinguishable and indistinguishable particles free wave packets and scattering in 3 dimensions angular-momentum decomposition stationary bound states in various 3-dimensional potentials hybrid states Kepler motion of wave packets in the Coulomb field spin and magnetic resonance Illustrations from experiments in a variety of fields, including chemistry, and molecular, atomic, nuclear, and particle physics, underline the basic as well as the practical importance of quantum mechanics. In the present, fourth edition all computer graphics are presented in full colour. It also contains additional physics topics such as hybridisation.

Quantum Methods With Mathematica

Author: James M. Feagin
Publisher: Springer Science & Business Media
ISBN: 9780387953656
Size: 29.28 MB
Format: PDF
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The 3.5" diskette included with this book contains all of the Mathematica input and supporting packages appearing in the text, so that the user can readily enter and analyze on the computer every mathematical step in the book. The diskette can be read by IBM compatible, Macintosh, and UNIX computers.

A Brief Introduction To Classical Statistical And Quantum Mechanics

Author: Oliver Bühler
Publisher: American Mathematical Soc.
ISBN: 0821842323
Size: 20.13 MB
Format: PDF, ePub
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This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.