Exact Solutions for Time-dependent Phenomena in Quantum Mechanics

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Publisher :
ISBN 13 :
Total Pages : 393 pages
Book Rating : 4.:/5 (355 download)

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Book Synopsis Exact Solutions for Time-dependent Phenomena in Quantum Mechanics by : Manfred Kleber

Download or read book Exact Solutions for Time-dependent Phenomena in Quantum Mechanics written by Manfred Kleber and published by . This book was released on 1994 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Time in Quantum Mechanics - Vol. 2

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Publisher : Springer
ISBN 13 : 3642031749
Total Pages : 426 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Time in Quantum Mechanics - Vol. 2 by : Gonzalo Muga

Download or read book Time in Quantum Mechanics - Vol. 2 written by Gonzalo Muga and published by Springer. This book was released on 2010-01-13 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: But all the clocks in the city Began to whirr and chime: ’O let not Time deceive you, You cannot conquer Time. W. H. Auden It is hard to think of a subject as rich, complex, and important as time. From the practical point of view it governs and organizes our lives (most of us are after all attached to a wrist watch) or it helps us to wonderfully ?nd our way in unknown territory with the global positioning system (GPS). More generally it constitutes the heartbeat of modern technology. Time is the most precisely measured quantity, so the second de?nes the meter or the volt and yet, nobody knows for sure what it is, puzzling philosophers, artists, priests, and scientists for centuries as one of the enduring enigmas of all cultures. Indeed time is full of contrasts: taken for granted in daily life, it requires sophisticated experimental and theoretical treatments to be accurately “produced. ” We are trapped in its web, and it actually kills us all, but it also constitutes the stuff we need to progress and realize our objectives. There is nothing more boring and monotonous than the tick-tock of a clock, but how many fascinating challenges have physicists met to realize that monotony: Quite a number of Nobel Prize winners have been directly motivated by them or have contributed 1 signi?cantly to time measurement.

Mathematics of Quantum Computation and Quantum Technology

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Publisher : CRC Press
ISBN 13 : 1584889004
Total Pages : 625 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Mathematics of Quantum Computation and Quantum Technology by : Louis Kauffman

Download or read book Mathematics of Quantum Computation and Quantum Technology written by Louis Kauffman and published by CRC Press. This book was released on 2007-09-19 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation an

Quantum Mechanics

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Publisher : Oxford University Press
ISBN 13 : 0198530978
Total Pages : 722 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Quantum Mechanics by : Richard Robinett

Download or read book Quantum Mechanics written by Richard Robinett and published by Oxford University Press. This book was released on 2006-04-13 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: `Quantum Mechanics' is a comprehensive introduction to quantum mechanics for advanced undergraduate students in physics. It provides the reader with a strong conceptual background in the subject, extensive experience with the necessary mathematical background, as well as numerous visualizations of quantum concepts and phenomena.

Theory of Nonclassical States of Light

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Publisher : CRC Press
ISBN 13 : 9780415284134
Total Pages : 392 pages
Book Rating : 4.2/5 (841 download)

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Book Synopsis Theory of Nonclassical States of Light by : V.V. Dodonov

Download or read book Theory of Nonclassical States of Light written by V.V. Dodonov and published by CRC Press. This book was released on 2003-03-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term 'nonclassical states' refers to the quantum states that cannot be produced in the usual sources of light, such as lasers or lamps, rather than those requiring more sophisticated apparatus for their production. Theory of Non-classical States of Light describes the current status of the theory of nonclassical states of light including many new and important results as well as introductory material and the history of the subject. The authors concentrate on the most important types of nonclassical states, namely squeezed, even/odd ('Schrodinger cat') and binomial states, including their generalizations. However, a review of other types of nonclassical is also given in the introduction, and methods for generating nonclassical states on various processes of light-matter interaction, their phase-space description, and the time evolution of nonclassical states in these processes is presented in separate chapters. This contributed volume contains all of the necessary formulae and references required to gain a good understanding of the principles and current status of the field. It will provide a valuable information resource for advanced students and researchers in quantum physics.

Problems & Solutions in Nonrelativistic Quantum Mechanics

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Publisher : World Scientific
ISBN 13 : 9789810246501
Total Pages : 514 pages
Book Rating : 4.2/5 (465 download)

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Book Synopsis Problems & Solutions in Nonrelativistic Quantum Mechanics by : Anton Z. Capri

Download or read book Problems & Solutions in Nonrelativistic Quantum Mechanics written by Anton Z. Capri and published by World Scientific. This book was released on 2002 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book consists of problems in nonrelativistic quantum mechanics together with their solutions. Most of the problems have been tested in class. The degree of difficulty varies from very simple to research-level. The problems illustrate certain aspects of quantum mechanics and enable the students to learn new concepts, as well as providing practice in problem solving.The book may be used as an adjunct to any of the numerous books on quantum mechanics and should provide students with a means of testing themselves on problems of varying degrees of difficulty. It will be useful to students in an introductory course if they attempt the simpler problems. The more difficult problems should prove challenging to graduate students and may enable them to enjoy problems at the forefront of quantum mechanics.

Nonlinear Phenomena Research Perspectives

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Publisher : Nova Publishers
ISBN 13 : 9781600215209
Total Pages : 470 pages
Book Rating : 4.2/5 (152 download)

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Book Synopsis Nonlinear Phenomena Research Perspectives by : Charles W. Wang

Download or read book Nonlinear Phenomena Research Perspectives written by Charles W. Wang and published by Nova Publishers. This book was released on 2007 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear, or chaotic behaviour in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. This book presents important new research in this dynamic field.

Fractional Diffusion Equations and Anomalous Diffusion

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Publisher : Cambridge University Press
ISBN 13 : 1107143551
Total Pages : 361 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Fractional Diffusion Equations and Anomalous Diffusion by : Luiz Roberto Evangelista

Download or read book Fractional Diffusion Equations and Anomalous Diffusion written by Luiz Roberto Evangelista and published by Cambridge University Press. This book was released on 2018-01-25 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified treatment of anomalous diffusion problems using fractional calculus in a wide range of applications across scientific and technological disciplines.

Problems And Solutions In Nonrelativistic Quantum Mechanics

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813102551
Total Pages : 511 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Problems And Solutions In Nonrelativistic Quantum Mechanics by : Anton Z Capri

Download or read book Problems And Solutions In Nonrelativistic Quantum Mechanics written by Anton Z Capri and published by World Scientific Publishing Company. This book was released on 2002-12-13 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book consists of problems in nonrelativistic quantum mechanics together with their solutions. Most of the problems have been tested in class. The degree of difficulty varies from very simple to research-level. The problems illustrate certain aspects of quantum mechanics and enable the students to learn new concepts, as well as providing practice in problem solving.The book may be used as an adjunct to any of the numerous books on quantum mechanics and should provide students with a means of testing themselves on problems of varying degrees of difficulty. It will be useful to students in an introductory course if they attempt the simpler problems. The more difficult problems should prove challenging to graduate students and may enable them to enjoy problems at the forefront of quantum mechanics.

Formulation and Numerical Solution of Quantum Control Problems

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Publisher : SIAM
ISBN 13 : 1611974836
Total Pages : 396 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Formulation and Numerical Solution of Quantum Control Problems by : Alfio Borzi

Download or read book Formulation and Numerical Solution of Quantum Control Problems written by Alfio Borzi and published by SIAM. This book was released on 2017-07-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ??

Advances in Atomic, Molecular, and Optical Physics

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Publisher : Elsevier
ISBN 13 : 0080561446
Total Pages : 497 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Advances in Atomic, Molecular, and Optical Physics by :

Download or read book Advances in Atomic, Molecular, and Optical Physics written by and published by Elsevier. This book was released on 1994-07-26 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest volume in the highly acclaimed series addresses atomic collisions, assessing the status of the current knowledge, identifying deficiencies, and exploring ways to improve the quality of cross-section data.Eleven articles, written by foremost experts, focus on cross-section determination by experiment or theory, on needs in selected applications, and on efforts toward the compilation and dissemination of data. This is the first volume edited under the additional direction of Herbert Walther. Presents absolute cross sections for atomic collisions Uses benchmark measurements and benchmark calculations Discusses needs for cross-section data in applications Contains a guide to data resources, bibliographies, and compendia

Quantum Theory Of Tunneling (2nd Edition)

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Publisher : World Scientific
ISBN 13 : 9814525030
Total Pages : 792 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Quantum Theory Of Tunneling (2nd Edition) by : Mohsen Razavy

Download or read book Quantum Theory Of Tunneling (2nd Edition) written by Mohsen Razavy and published by World Scientific. This book was released on 2013-12-17 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this revised and expanded edition, in addition to a comprehensible introduction to the theoretical foundations of quantum tunneling based on different methods of formulating and solving tunneling problems, different semiclassical approximations for multidimensional systems are presented. Particular attention is given to the tunneling of composite systems, with examples taken from molecular tunneling and also from nuclear reactions. The interesting and puzzling features of tunneling times are given extensive coverage, and the possibility of measurement of these times with quantum clocks are critically examined.In addition, by considering the analogy between evanescent waves in waveguides and in quantum tunneling, the times related to electromagnetic wave propagation have been used to explain certain aspects of quantum tunneling times. These topics are treated in both non-relativistic as well as relativistic regimes. Finally, a large number of examples of tunneling in atomic, molecular, condensed matter and nuclear physics are presented and solved.

Symmetries in Science XI

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Publisher : Springer Science & Business Media
ISBN 13 : 140202634X
Total Pages : 623 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Symmetries in Science XI by : Bruno Gruber

Download or read book Symmetries in Science XI written by Bruno Gruber and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of reviews and essays about the recent developments in the area of Symmetries and applications of Group Theory. Contributions have been written mostly at the graduate level but some are accessible to advanced undergraduates. The book is of interest to a wide audience and covers a broad range of topics with a strong degree of thematical unity. The book is part of a Series of books on Symmetries in Science and may be compared to the published Proceedings of the Colloquia on Group Theoretical Methods in Physics. Here, however, prevails a distinguished character for presenting extended reviews on present applications to Science, not restricted to Theoretical Physics.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

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Publisher : World Scientific
ISBN 13 : 9789812381071
Total Pages : 1512 pages
Book Rating : 4.3/5 (81 download)

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Book Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert

Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific. This book was released on 2004 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third, significantly 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 become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r2 potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces 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 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 integrals over 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 expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals. Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbationexpansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of large-order perturbation theory also applies now to small orders. Special attention is devoted to path integrals with topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chem-Simons theory of particles with fractional statistics (anyohs) 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 given which account for the fact that large market fluctuations occur much more frequently than in the commonly used Gaussian distributions.

Supersymmetry in Quantum Mechanics

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Publisher : World Scientific
ISBN 13 : 9789810246129
Total Pages : 226 pages
Book Rating : 4.2/5 (461 download)

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Book Synopsis Supersymmetry in Quantum Mechanics by : Fred Cooper

Download or read book Supersymmetry in Quantum Mechanics written by Fred Cooper and published by World Scientific. This book was released on 2001 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book provides an elementary description of supersymmetric quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. It gives physicists a fresh outlook and new ways of handling quantum-mechanical problems, and also leads to improved approximation techniques for dealing with potentials of interest in all branches of physics. The algebraic approach to obtaining eigenstates is elegant and important, and all physicists should become familiar with this. The book has been written in such a way that it can be easily appreciated by students in advanced undergraduate quantum mechanics courses. Problems have been given at the end of each chapter, along with complete solutions to all the problems. The text also includes material of interest in current research not usually discussed in traditional courses on quantum mechanics, such as the connection between exact solutions to classical solution problems and isospectral quantum Hamiltonians, and the relation to the inverse scattering problem.

American Journal of Physics

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Publisher :
ISBN 13 :
Total Pages : 674 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis American Journal of Physics by :

Download or read book American Journal of Physics written by and published by . This book was released on 2005 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ideas of Quantum Chemistry

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Publisher : Elsevier
ISBN 13 : 0080466761
Total Pages : 1122 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Ideas of Quantum Chemistry by : Lucjan Piela

Download or read book Ideas of Quantum Chemistry written by Lucjan Piela and published by Elsevier. This book was released on 2006-11-28 with total page 1122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas of Quantum Chemistry shows how quantum mechanics is applied to chemistry to give it a theoretical foundation. The structure of the book (a TREE-form) emphasizes the logical relationships between various topics, facts and methods. It shows the reader which parts of the text are needed for understanding specific aspects of the subject matter. Interspersed throughout the text are short biographies of key scientists and their contributions to the development of the field.Ideas of Quantum Chemistry has both textbook and reference work aspects. Like a textbook, the material is organized into digestable sections with each chapter following the same structure. It answers frequently asked questions and highlights the most important conclusions and the essential mathematical formulae in the text. In its reference aspects, it has a broader range than traditional quantum chemistry books and reviews virtually all of the pertinent literature. It is useful both for beginners as well as specialists in advanced topics of quantum chemistry. The book is supplemented by an appendix on the Internet. * Presents the widest range of quantum chemical problems covered in one book * Unique structure allows material to be tailored to the specific needs of the reader * Informal language facilitates the understanding of difficult topics