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Quantum Mechanics Fifth Edition

Author: Alastair I. M. Rae
Publisher: Taylor & Francis
ISBN: 1584889713
Size: 49.67 MB
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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.

Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets

Author: Hagen Kleinert
Publisher: World Scientific
ISBN: 9814365262
Size: 58.25 MB
Format: PDF, ePub
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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.

Quantum Mechanics Second Edition

Author: Paul C.W. Davies
Publisher: CRC Press
ISBN: 9780748744466
Size: 28.27 MB
Format: PDF
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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.

Introductory Quantum Mechanics For Applied Nanotechnology

Author: Dae Mann Kim
Publisher: John Wiley & Sons
ISBN: 3527677186
Size: 29.39 MB
Format: PDF, Mobi
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This introductory textbook covers fundamental quantum mechanics from an application perspective, considering optoelectronic devices, biological sensors and molecular imagers as well as solar cells and field effect transistors. The book provides a brief review of classical and statistical mechanics and electromagnetism, and then turns to the quantum treatment of atoms, molecules, and chemical bonds. Aiming at senior undergraduate and graduate students in nanotechnology related areas like physics, materials science, and engineering, the book could be used at schools that offer interdisciplinary but focused training for future workers in the semiconductor industry and for the increasing number of related nanotechnology firms, and even practicing people could use it when they need to learn related concepts. The author is Professor Dae Mann Kim from the Korea Institute for Advanced Study who has been teaching Quantum Mechanics to engineering, material science and physics students for over 25 years in USA and Asia.

Moderne Physik

Author: Paul Allen Tipler
Publisher: Oldenbourg Verlag
ISBN: 9783486582758
Size: 77.27 MB
Format: PDF, ePub
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Immer mehr deutsche Hochschulen folgen dem amerikanischen Vorbild und bieten Einführungskurse zur Modernen Physik an. Diese Kurse vermitteln die spannenden Erkenntnisse der Physik der letzten 100 Jahre, die zu bahnbrechenden Veränderungen geführt haben. Das Standardwerk zu diesen Kursen ist "Modern Physics" von Paul A. Tipler, Autor des berühmten Werkes "Physik", und Ralph A. Llewellyn. Die Autoren zeigen, dass man ein tief gehendes Verständnis der Modernen Physik vermitteln kann, ohne einen schwerfälligen mathematischen Apparat bemühen zu müssen. Mit über 500 Abbildungen, Zitaten berühmter Physiker sowie mit ca. 700 sorgfältig ausgewählten Übungsaufgaben und über das Internet zugänglichen Ergänzungen wurde "Modern Physics" in den USA zu einem der beliebtesten Lehrbücher zu diesem Thema.

Quantum Theory Of The Optical And Electronic Properties Of Semiconductors

Author: Hartmut Haug
Publisher: World Scientific Publishing Company
ISBN: 9813101113
Size: 71.17 MB
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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. The basic principles underlying optical nonlinearities are developed, including excitonic and many-body plasma effects. Fundamentals of optical bistability, semiconductor lasers, femtosecond excitation, the optical Stark effect, the semiconductor photon echo, magneto-optic effects, as well as bulk and quantum-confined Franz–Keldysh effects, are covered. The material is presented in sufficient detail for graduate students and researchers with a general background in quantum mechanics. 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.

Quantum Mechanics

Author: Ajoy Ghatak
Publisher: Springer Science & Business Media
ISBN: 9781402021299
Size: 28.31 MB
Format: PDF, ePub, Mobi
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An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

Quantum Mechanics

Author: Robert J. Russell
Publisher: University of Notre Dame Press
ISBN: 9780268039783
Size: 43.52 MB
Format: PDF
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Quantum Mechanics, a collection of fifteen essays, explores the creative interaction among quantum physics, philosophy, and theology. This fine collection presents the results of the fifth international research conference co-sponsored by the Vatican Observatory, Rome, and the Center for Theology and the Natural Sciences, Berkeley. The overarching goal of these conferences is to support the engagement of constructive theology with the natural sciences and to investigate the philosophical and theological elements in ongoing theoretical research in the natural sciences. In the first section of this collection, contributors examine scientific and historical context. Section two features essays covering a wide range of philosophical interpretations of quantum mechanics. The final set of essays explores the theological implications of quantum theory. Abner Shimony, Raymond Y. Chiao, Michael Berry, Ernan McMullin, William R. Stoeger, S.J., James T. Cushing, Jeremy Butterfield, Michael Redhead, Chris Clarke, John Polkinghorne, Michael Heller, Philip Clayton, Thomas F. Tracy, George F.R. Ellis, and Robert John Russell all contributed essays to this volume.