An open systems approach to quantum optics
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Carmichael H.
Publish Year: 1993
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Mathematical physics is the scientific discipline concerned with the interface of mathematics and physics. The Journal of Mathematical Physics defines it as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories."
An open systems approach to quantum optics
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Carmichael H.
Publish Year: 1993
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Consistent quantum theory
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Griffiths R.B.
Quantum mechanics is a difficult subject, and this book is intended to help the reader overcome the main difficulties in the way to understanding it...
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The quantum hall effect
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Karlhede A., Kivelson S.A., Sondhi S.L.
This review article focuses on some recent developments in the theory of the quantum Hall effect. While it covers diverse topics and somewhat different approaches, it has a major theme: there exists a unitary transformation that relates the properties of the two dimensional electron gas to the properties of a two dimensional Bose gas interacting with a fluctuating "statistical" gauge field.
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Operator Algebras and Quantum Statistical Mechanics (vol. 2)
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Bratteli O., Robinson D.W.
For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous systems.
Major changes in the new edition relate to Bose — Einstein condensation, the dynamics of the X-Y model and questions on phase transitions. Notes and remarks have been considerably augmented.
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Academic Treaties on Quantum Mechanics
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Academia
Quantum mechanics is the study of mechanical systems whose dimensions are close to or below the atomic scale, such as molecules, atoms, electrons, protons and other subatomic particles. Quantum mechanics is a fundamental branch of physics with wide applications. Quantum theory generalizes classical mechanics and provides accurate descriptions for many previously unexplained phenomena such as black body radiation and stable electron orbits. The effects of quantum mechanics are typically not observable on macroscopic scales, but become evident at the atomic and subatomic level. There are however exceptions to this rule such as superfluidity.
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Quantum Mechanics at the Crossroads
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James Evans (Editor), Alan S. Thorndike (Editor)
ISBN: 3540326634
Title: Quantum Mechanics at the Crossroads: New Perspectives from History, Philosophy and Physics (The Frontiers Collection)
Author: James Evans (Editor), Alan S. Thorndike (Editor)
Publisher: Springer
Publication Date: 2006-10-31
Number Of Pages: 249
Quantum mechanics is a beautiful, strange and successful theory that originated in the 1920s. The theory, which Niels Bohr regarded as finished and complete, has in the last few decades rapidly developed in unexpected directions. An intense new focus on the stranger aspects of the theory, including entanglement and nonlocality, has resulted in new perceptions of the foundations of quantum mechanics, as well as surprising new exploitations of quantum phenomena. Historians and philosophers of science have also renewed their attention to quantum mechanics, opening up its human dimensions and asking searching questions about its meaning. This volume brings together new insights from different vantage points: Historians of physics, such as J. L. Heilbron; philosophers of science, such as Abner Shimony and Michel Bitbol; and quantum physicists, such as Wolfgang Ketterle and Roland Omnès, join forces to tackle essential questions in quantum mechanics and its interpretation. All the authors have written for a broad readership, and the resulting volume will appeal to everyone wishing to keep abreast of new developments in quantum mechanics, as well as its history and philosophy.
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Quantum Mechanics: Concepts and Applications
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Nouredine Zettili
* Publisher: Wiley
* Number Of Pages: 664
* Publication Date: 2001-10-15
* ISBN-10 / ASIN: 0471489441
* ISBN-13 / EAN: 9780471489443
Product Description:
This richly illustrated textbook provides a clear, balanced and modern approach to quantum mechanics. It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics.
* A comprehensive introduction to the subject
* Includes over 65 solved examples integrated throughout the text
* Includes over 154 fully solved multipart problems
* Offers an indepth treatment of the practical mathematical tools of quantum mechanics
* Accessible to teachers as well as students
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Chaos in Classical and Quantum Mechanics (Interdisciplinary Applied Mathematics) (v. 1)
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Martin C. Gutzwiller
Product Description
Simple and mechanical systems are the fouundation of Science: a particle sliding on a two-dimensional surface in mathematics, the solar system in astronomy, the hydrogen and the helium atoms in physics, and small molecules in chemistry. Although elementary and deterministic, their motions look almost random over long time intervals, and cannot be explained by the traditional approaches. This book describes the apparent chaos in these systems for an audience at the level of beginning graduate students, developing the relevant ideas of the last two decades with the help of geometric intutition rather than algebraic manipulation. The main focus is on seeking the connection between classical and quantum mechanics: classical chaos is rough and fractal, whereas quantum chaos is smooth and elusive; and yet the former should be the limit of the latter as Planck's quantum becomes small. The historical and cultural background is mentioned, and the text discusses realistic examples in some detail thereby providing readers a new perspective and preparing them to tackle new problems in this rich field.
Product Details
* Hardcover: 432 pages
* Publisher: Springer; 1st edition (August 1, 1991)
* Language: English
* ISBN-10: 0387971734
* ISBN-13: 978-0387971735
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Chemical Physics,Methods in Computational Quantum Mechanics
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Raynaud
Advances in Chemical Physics, New Methods in Computational Quantum Mechanics (Volume 93): I. Prigogine, Stuart A. Rice
Wiley-Interscience | PDF | 812 pages
The use of quantum chemistry for the quantitative prediction of molecular properties has long been frustrated by the technical difficulty of carrying out the needed computations. In the last decade there have been substantial advances in the formalism and computer hardware needed to carry out accurate calculations of molecular properties efficiently.
These advances have been sufficient to make quantum chemical calculations a reliable tool for the quantitative interpretation of chemical phenomena and a guide to laboratory experiments. However, the success of these recent developments in computational quantum chemistry is not well known outside the community of practitioners. In order to make the larger community of chemical physicists aware of the current state of the subject, this self-contained volume of Advances in Chemical Physics surveys a number of the recent accomplishments in computational quantum chemistry.
This stand-alone work presents the cutting edge of research in computational quantum mechanics. Supplemented with more than 150 illustrations, it provides evaluations of a broad range of methods, including:
* Quantum Monte Carlo methods in chemistry
* Monte Carlo methods for real-time path integration
* The Redfield equation in condensed-phase quantum dynamics * Path-integral centroid methods in quantum statistical mechanics and dynamics
* Multiconfigurational perturbation theory-applications in electronic spectroscopy
* Electronic structure calculations for molecules containing transition metals
* And more Contributors to New Methods in Computational Quantum Mechanics KERSTIN ANDERSSON, Department of Theoretical Chemistry, Chemical Center, Sweden DAVID M. CEPERLEY, National Center for Supercomputing Applications and Department of Physics, University of Illinois at Urbana-Champaign, Illinois MICHAEL A. COLLINS, Research School of Chemistry, Australian National University, Canberra, Australia REINHOLD EGGER, Fakult f Physik, Universit Freiburg, Freiburg, Germany ANTHONY K. FELTS, Department of Chemistry, Columbia University, New York RICHARD A. FRIESNER, Department of Chemistry, Columbia University, New York MARKUS P. FSCHER, Department of Theoretical Chemistry, Chemical Center, Sweden K. M. HO, Ames Laboratory and Department of Physics, Iowa State University, Ames, Iowa C. H. MAK, Department of Chemistry, University of Southern California, Los Angeles, California PER-E Malmqvist, Department of Theoretical Chemistry, Chemical Center, Sweden MANUELA MERCH, Departamento de Quica Fica, Universitat de Valcia, Spain LUBOS MITAS, National Center for Supercomputing Applications and Materials Research Laboratory, University of Illinois at Urbana-Champaign, Illinois STEFANO OSS, Dipartimento di Fisica, Universitdi Trento and Istituto Nazionale di Fisica della Materia, Unitdi Trento, Italy KRISTINE PIERLOOT, Department of Chemistry, University of Leuven, Belgium W. THOMAS POLLARD, Department of Chemistry, Columbia University, New York BJN O. ROOS, Department of Theoretical Chemistry, Chemical Center, Sweden LUIS SERRANO-ANDR, Department of Theoretical Chemistry, Chemical Center, Sweden PER E. M. SIEGBAHN, Department of Physics, University of Stockholm, Stockholm, Sweden WALTER THIEL, Institut f Organische Chemie, Universit Zich, Zich, Switzerland GREGORY A. VOTH, Department of Chemistry, University of Pennsylvania, Pennsylvania C. Z. Wang, Ames Laboratory and Department of Physics, Iowa State University, Ames, Iowa
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The Strange World of Quantum Mechanics
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Daniel F. Styer
* Publisher: Cambridge University Press
* Number Of Pages: 154
* Publication Date: 2000-02-28
* ISBN-10 / ASIN: 0521661048
* ISBN-13 / EAN: 9780521661041
Product Description:
This is an exceptionally accessible, accurate, and nontechnical introduction to quantum mechanics. After briefly summarizing the differences between classical and quantum behavior, this engaging account considers the Stern-Gerlach experiment and its implications, treats the concepts of probability, and then discusses the Einstein-Podolsky-Rosen paradox and Bell's theorem. Coverage introduces the quantal interference and the concept of amplitudes, and also reveals the link between probabilities and the interference of amplitudes. Final chapters explore exciting new developments in quantum computation and cryptography, discover the unexpected behavior of a quantal bouncing-ball, and tackle the challenge of describing a particle with no position. Thought-provoking problems and suggestions for further reading are included. Suitable for use as a course text, The Strange World of Quantum Mechanics enables students to develop a genuine understanding of the domain of the very small. It will also appeal to general readers seeking intellectual adventure.
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A Modern Approach to Quantum Mechanics
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John Townsend
* Publisher: University Science Books
* Number Of Pages: 496
* Publication Date: 2000-04-07
* ISBN-10 / ASIN: 1891389130
* ISBN-13 / EAN: 9781891389139
Product Description:
Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics lets professors expose their undergraduates to the excitement and insight of Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical, and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new: Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems gives students something new and interesting while providing elegant but straightforward examples of the essential structure of quantum mechanics. When wave mechanics is introduced later, students perceive it correctly as only one aspect of quantum mechanics and not the core of the subject. Praised for its pedagogical brilliance, clear writing, and careful explanations, this book is destined to become a landmark text.
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Mind, Matter and Quantum Mechanics (3rd Edition)
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Henry P. Stapp
Publisher: Springer, 2009
Content: XVIII, 302 p. 1 illus.
ISBN: 978-3-540-89653-1
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Quote:Scientists other than quantum physicists often fail to comprehend the enormity of the conceptual change wrought by quantum theory in our basic conception of the nature of matter," writes Henry Stapp. Stapp is a leading quantum physicist who has given particularly careful thought to the implications of the theory that lies at the heart of modern physics. In this book, which contains several of his key papers as well as new material, he focuses on the problem of consciousness and explains how quantum mechanics allows causally effective conscious thought to be combined in a natural way with the physical brain made of neurons and atoms. The book is divided into four sections. The first consists of an extended introduction. Key foundational and somewhat more technical papers are included in the second part, together with a clear exposition of the "orthodox" interpretation of quantum mechanics. The third part addresses, in a non-technical fashion, the implications of the theory for some of the most profound questions that mankind has contemplated: How does the world come to be just what it is and not something else? How should humans view themselves in a quantum universe? What will be the impact on society of the revised scientific image of the nature of man? The final part contains a mathematical appendix for the specialist and a glossary of important terms and ideas for the interested layman. This third edition has been significantly expanded with two new chapters covering the author's most recent work.
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On the quantum mechanics of consciousness, with application to anomalous phenomena
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Robert G Jahn (Author)
# Unknown Binding
# Publisher: Princeton Engineering Anomalies Research Laboratory, School of Engineering/Applied Science, Princeton University; 1st revision edition (1984)
# Language: English
# ASIN: B0006YSBWE
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The dynamics of particles and of rigid, elastic, and fluid bodies. Being lectures on mathematical physics (1912)
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Webster, Arthur Gordon, 1863-1923
Subject: Dynamics; Hydrodynamics; Potential, Theory of; Strains and stresses
Publisher: Leipzig B.G. Teubner
Possible copyright status: NOT_IN_COPYRIGHT
Language: English
Call number: AGB-4888
Digitizing sponsor: MSN
Book contributor: Gerstein - University of Toronto
Collection: toronto
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Theory of electricity and magnetism, being lectures on mathematical physics (1897)
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Webster, Arthur Gordon
Subject: Electricity; Magnetism
Publisher: London, MacMillan
Possible copyright status: NOT_IN_COPYRIGHT
Language: English
Call number: AFC-2099
Digitizing sponsor: MSN
Book contributor: Gerstein - University of Toronto
Collection: toronto
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Seismic Waves and Rays in Elastic Media (Handbook of Geophysical Exploration: Seismic Exploration)
by: M.A. Slawinski
# Hardcover: 424 pages
# Publisher: Elsevier Science; 1 edition (August 18, 2003)
# Language: English
# ISBN-10: 0080439306
# ISBN-13: 978-0080439303
This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves.
The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown that in elastic continua a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary travel time.
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Adventures in Celestial Mechanics, 2nd edition
by: Victor G. Szebehely, Hans Mark
# Publisher: Wiley-Interscience
# Number Of Pages: 320
# Publication Date: 1998-01-30
# ISBN-10 / ASIN: 0471133175
# ISBN-13 / EAN: 9780471133179
# Binding: Hardcover
A fascinating introduction to the basic principles of orbital mechanics
It has been three hundred years since Isaac Newton first formulated laws to explain the orbits of the Moon and the planets of our solar system. In so doing he laid the groundwork for modern science's understanding of the workings of the cosmos and helped pave the way to the age of space exploration.
Adventures in Celestial Mechanics offers students an enjoyable way to become acquainted with the basic principles involved in the motions of natural and human-made bodies in space. Packed with examples in which these principles are applied to everything from a falling stone to the Sun, from space probes to galaxies, this updated and revised Second Edition is an ideal introduction to celestial mechanics for students of astronomy, physics, and aerospace engineering. Other features that helped make the first edition of this book the text of choice in colleges and universities across North America include:
* Lively historical accounts of important discoveries in celestial mechanics and the men and women who made them
* Superb illustrations, photographs, charts, and tables
* Helpful chapter-end examples and problem sets
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