Quantum Mechanics, Fifth Edition

Author: Alastair I. M. Rae

Publisher: Taylor & Francis

ISBN: 1584889713

Category: Science

Page: 352

View: 4149

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For more than 25 years, Alastair Rae's Quantum Mechanics has been one of the most highly regarded textbooks in this area. From elementary atomic physics and mathematics, to angular momentum and time dependence, to relativity and quantum computing, the text shows how cutting-edge research topics of quantum mechanics have been applied to various disciplines. Retaining the clarity of its predecessors, this fifth edition presents revised and updated material throughout the text. It offers a clear exposition of fundamental ideas, additional worked examples of the application of quantum mechanics principles to a range of physical problems, and more information on modern quantum information technology. This text was one of the first to include a substantial discussion of the conceptual and philosophical implications of quantum mechanics, which has been revised and extended in the fifth edition. Other topics covered include one- and three-dimensional Schrödinger equations, angular momentum, time-independent perturbation theory, time dependence, scattering, and relativity. Cementing its reputation as an exceptional introductory textbook, Quantum Mechanics, Fifth Edition fully covers the concepts of quantum mechanics taught in an undergraduate physics course and provides the foundation necessary for other specialized courses.
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Quantum Mechanics, Fourth Edition

Author: Alastair I. M. Rae

Publisher: CRC Press

ISBN: 9781420052077

Category: Science

Page: 320

View: 9993

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Continuing the exceptional tradition of the previous editions, Quantum Mechanics, Fourth Edition provides essential information about atomic and subatomic systems and covers some modern applications of the field. Supported by a Web page that contains a bibliography, color versions of some of the illustrations, and links to other relevant sites, the book shows how cutting-edge research topics of quantum mechanics have been applied to various disciplines. It first demonstrates how to obtain a wave equation whose solutions determine the energy levels of bound systems. The theory is then made more general and applied to a number of physical examples. Later chapters describe the connection between relativity and quantum mechanics, give some examples of how quantum mechanics has been used in information processing, and, finally, discuss the conceptual and philosophical implications of the subject. New to the Fourth Edition: A chapter on quantum information processing that includes applications to the encryption and de-encryption of coded messages A chapter on relativistic quantum mechanics and introductory quantum field theory Updated material on the conceptual foundations of quantum physics containing discussions of non-locality, hidden variables, and parallel universes Expanded information on tunneling microscopy and the Bose-Einstein condensate Presenting up-to-date information on the conceptual and philosophical aspects of quantum mechanics, this revised edition is suitable both for undergraduates studying physics, chemistry, or mathematics and for researchers involved in quantum physics.
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Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Author: Hagen Kleinert

Publisher: World Scientific

ISBN: 9814365262

Category:

Page: 1624

View: 8685

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This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have been made possible by two major advances. The first is a "new euclidean path integral formula" which increases the restricted range of applicability of Feynman's time-sliced formula to include singular attractive 1/"r"- and 1/"r"2-potentials. The second is a "new nonholonomic mapping principle" carrying physical laws in flat spacetime to spacetimes with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations. In addition to the time-sliced definition, the author gives a perturbative, coordinate-independent definition of path integrals, which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely products of distributions. The powerful Feynman-Kleinert variational approach is explained and developed systematically into a "variational perturbation theory" which, in contrast to ordinary perturbation theory, produces convergent results. The convergence is uniform from weak to strong couplings, opening a way to precise evaluations of analytically unsolvable path integrals in the strong-coupling regime where they describe critical phenomena. Tunneling processes are treated in detail, with applications to the lifetimes of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions. A variational treatment extends the range of validity to small barriers. A corresponding extension of the large-order perturbation theory now also applies to small orders. Special attention is devoted to path integrals with topological restrictions needed to understand the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern?Simons theory of particles with fractional statistics "(anyons)" is introduced and applied to explain the fractional quantum Hall effect. The relevance of path integrals to financial markets is discussed, and improvements of the famous Black?Scholes formula for option prices are developed which account for the fact, recently experienced in the world markets, that large fluctuations occur much more frequently than in Gaussian distributions.Contents: FundamentalsPath Integrals ? Elementary Properties and Simple SolutionsExternal Sources, Correlations, and Perturbation TheorySemiclassical Time Evolution AmplitudeVariational Perturbation TheoryPath Integrals with Topological ConstraintsMany Particle Orbits ? Statistics and Second QuantizationPath Integrals in Polar and Spherical CoordinatesWave FunctionsSpaces with Curvature and TorsionSchr”dinger Equation in General Metric-Affine SpacesNew Path Integral Formula for Singular PotentialsPath Integral of Coulomb SystemSolution of Further Path Integrals by Duru-Kleinert MethodPath Integrals in Polymer PhysicsPolymers and Particle Orbits in Multiply Connected SpacesTunnelingNonequilibrium Quantum StatisticsRelativistic Particle OrbitsPath Integrals and Financial Markets Readership: Students and researchers in theoretical physics.
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Exam Prep for: Advanced Soil Mechanics, Fifth Edition

Author: David Mason

Publisher: Rico Publications

ISBN: N.A

Category: Education

Page: 800

View: 1021

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5,600 Exam Prep questions and answers. Ebooks, Textbooks, Courses, Books Simplified as questions and answers by Rico Publications. Very effective study tools especially when you only have a limited amount of time. They work with your textbook or without a textbook and can help you to review and learn essential terms, people, places, events, and key concepts.
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Quantum Theory of the Optical and Electronic Properties of Semiconductors

Author: Hartmut Haug,Stephan W. Koch

Publisher: World Scientific

ISBN: 981283883X

Category: Technology & Engineering

Page: 469

View: 8309

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This invaluable textbook presents the basic elements needed to understand and research into semiconductor physics. It deals with elementary excitations in bulk and low-dimensional semiconductors, including quantum wells, quantum wires and quantum dots. This fifth edition includes an additional chapter on `Quantum Optical Effects¿ where the theory of quantum optical effects in semiconductors is detailed. Besides deriving the `semiconductor luminescence equations¿ and the expression for the stationary luminescence spectrum, results are presented to show the importance of Coulombic effects on the semiconductor luminescence and to elucidate the role of excitonic populations.
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Non-Relativistic Quantum Mechanics

Author: Ravinder R. Puri

Publisher: Cambridge University Press

ISBN: 1107164362

Category: Science

Page: 550

View: 5566

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This book develops and simplifies the concept of quantum mechanics based on the postulates of quantum mechanics. The text discusses the technique of disentangling the exponential of a sum of operators, closed under the operation of commutation, as the product of exponentials to simplify calculations of harmonic oscillator and angular momentum. Based on its singularity structure, the Schrödinger equation for various continuous potentials is solved in terms of the hypergeometric or the confluent hypergeometric functions. The forms of the potentials for which the one-dimensional Schrödinger equation is exactly solvable are derived in detail. The problem of identifying the states of two-level systems which have no classical analogy is addressed by going beyond Bell-like inequalities and separability. The measures of quantumness of mutual information in two two-level systems is also covered in detail.
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Quantum Mechanics

An Introduction

Author: Thomas Banks

Publisher: CRC Press

ISBN: 0429797001

Category: Science

Page: 548

View: 4416

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"pedagogical and accessible" —Nathan Seiberg, Professor, Institute for Advanced Study, Princeton, New Jersey "an excellent book" —Andreas Karch, Professor, University of Washington "provides remarkable insights into technical aspects of the subject, but also into the most basic conceptual questions which trouble both new students and more mature researchers" —Michael Dine, Professor, University of California, Santa Cruz This authoritative, advanced introduction provides a complete, modern perspective on quantum mechanics. It clarifies many common misconceptions regarding wave/particle duality and the correct interpretation of measurements. The author develops the text from the ground up, starting from the fundamentals and presenting information at an elementary level, avoiding unnecessarily detailed and complex derivations in favor of simple, clear explanations. He begins in the simplest context of a two-state system and shows why quantum mechanics is inevitable, and what its relationship is to classical mechanics. He also outlines the decoherence approach to interpreting quantum mechanics. Distinguishing features: Provides a thorough grounding in the principles and practice of quantum mechanics, including a core understanding of the behavior of atoms, molecules, solids, and light. Utilizes easy-to-follow examples and analogies to illustrate important concepts. Helps develop an intuitive sense for the field, by guiding the reader to understand how the correct formulas reduce to the non-relativistic ones. Includes numerous worked examples and problems for each chapter. Thomas Banks is a theoretical physicist at University of California, Santa Cruz and a professor at Rutgers University. He earned his PhD in physics from the Massachusetts Institute of Technology, and has been a visiting scholar at the Institute for Advanced Study in Princeton, New Jersey. Professor Banks is the recipient of a Guggenheim Fellowship and is an elected member of the American Academy of Arts and Sciences.
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Quantum Mechanics, Second edition

Author: Paul C.W. Davies,David S. Betts

Publisher: CRC Press

ISBN: 9780748744466

Category: Science

Page: 178

View: 6238

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Quantum mechanics is the key to modern physics and chemistry, yet it is notoriously difficult to understand. This book is designed to overcome that obstacle. Clear and concise, it provides an easily readable introduction intended for science undergraduates with no previous knowledge of quantum theory, leading them through to the advanced topics usually encountered at the final year level. Although the subject matter is standard, novel techniques have been employed that considerably simplify the technical presentation. The authors use their extensive experience of teaching and popularizing science to explain the many difficult, abstract points of the subject in easily comprehensible language. Helpful examples and thorough sets of exercises are also given to enable students to master the subject.
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