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An Introduction to Quantum Theory

An Introduction to Quantum Theory Author Keith Hannabuss
ISBN-10 0191588733
Release 1997-03-20
Pages 394
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This book provides an introduction to quantum theory primarily for students of mathematics. Although the approach is mainly traditional the discussion exploits ideas of linear algebra, and points out some of the mathematical subtleties of the theory. Amongst the less traditional topics are Bell's inequalities, coherent and squeezed states, and introductions to group representation theory. Later chapters discuss relativistic wave equations and elementary particle symmetries from a group theoretical standpoint rather than the customary Lie algebraic approach. This book is intended for the later years of an undergraduate course or for graduates. It assumes a knowledge of basic linear algebra and elementary group theory, though for convenience these are also summarized in an appendix.

Introduction to Quantum Information Science

Introduction to Quantum Information Science Author Vlatko Vedral
ISBN-10 9780199215706
Release 2006-09-28
Pages 183
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In addition to treating quantum communication, entanglement and algorithms, this book also addresses a number of miscellaneous topics, such as Maxwell's demon, Landauer's erasure, the Bekenstein bound and Caratheodory's treatment of the Second law of thermodyanmics.

Many Body Quantum Theory in Condensed Matter Physics

Many Body Quantum Theory in Condensed Matter Physics Author Henrik Bruus
ISBN-10 9780191057472
Release 2004-09-02
Pages 464
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This book is an introduction to the techniques of many-body quantum theory with a large number of applications to condensed matter physics. The basic idea of the book is to provide a self-contained formulation of the theoretical framework without losing mathematical rigor, while at the same time providing physical motivation and examples. The examples are taken from applications in electron systems and transport theory. On the formal side, the book covers an introduction to second quantization, many-body Green's function, finite temperature Feynman diagrams and bosonization. The applications include traditional transport theory in bulk as well as mesoscopic systems, where both the Landau-Büttiker formalism and recent developments in correlated transport phenomena in mesoscopic systems and nano-structures are covered. Other topics include interacting electron gases, plasmons, electron-phonon interactions, superconductivity and a final chapter on one-dimensional systems where a detailed treatment of Luttinger liquid theory and bosonization techniques is given. Having grown out of a set of lecture notes, and containing many pedagogical exercises, this book is designed as a textbook for an advanced undergraduate or graduate course, and is also well suited for self-study.

Quantum Theory for Mathematicians

Quantum Theory for Mathematicians Author Brian C. Hall
ISBN-10 9781461471165
Release 2013-06-19
Pages 554
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Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.

Quantum Groups

Quantum Groups Author Christian Kassel
ISBN-10 9781461207832
Release 2012-12-06
Pages 534
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Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Coverage also focuses on Hopf algebras that produce solutions of the Yang-Baxter equation and provides an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations.

Exploring the Quantum

Exploring the Quantum Author Serge Haroche
ISBN-10 9780198509141
Release 2006-08-10
Pages 605
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The quantum world obeys logic at odds with our common sense intuition. This weirdness is directly displayed in recent experiments juggling with isolated atoms and photons. They are reviewed in this book, combining theoretical insight and experimental description, and providing useful illustrations for learning and teaching of quantum mechanics.

Statistical Field Theory

Statistical Field Theory Author Giuseppe Mussardo
ISBN-10 9780199547586
Release 2010
Pages 755
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A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.

Quantum Electronics for Atomic Physics and Telecommunication

Quantum Electronics for Atomic Physics and Telecommunication Author Warren Nagourney
ISBN-10 9780199665488
Release 2014
Pages 475
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Quantum Electronics for Atomic Physics provides a course in quantum electronics for researchers in atomic physics and other related areas such as telecommunications. The book covers the usual topics, such as Gaussian beams, lasers, nonlinear optics and modulation techniques, but also includes a number of areas not usually found in a textbook on quantum electronics. Among the latter are such practical matters as the enhancement of nonlinear processes in a build-up cavity or periodically polled waveguide, impedance matching into a cavity, laser frequency stabilization (including servomechanism theory), astigmatism in ring cavities, and frequency locking a laser to an atomic or molecular line. The second edition includes a new complete chapter on optical waveguide theory, fiber optic components and fiber lasers. Other updates include new coverage of mode locked fiber lasers, comb generation in a micro-resonator, and periodically poled optical waveguides. To request a copy of the Solutions Manual, visit

Practical Quantum Mechanics

Practical Quantum Mechanics Author Efstratios Manousakis
ISBN-10 9780198749349
Release 2015-11-12
Pages 344
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This book presents the reader with modern tools, approaches, approximations, and applications of quantum mechanics. Quantum mechanics forms the foundation of all modern physics, including atomic, nuclear, and molecular physics, the physics of the elementary particles, condensed matter physics, and also modern astrophysics.--

Finite Element and Boundary Element Applications in Quantum Mechanics

Finite Element and Boundary Element Applications in Quantum Mechanics Author L. Ramdas Ram-Mohan
ISBN-10 0198525222
Release 2002
Pages 605
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'... well structured and remarkably comprehensive...' John Pask, Lawrence Livermore National Laboratory, CA'... an excellent textbook to introduce FEM and BEM to students...' Shun-Lien Chua ng, University of Illinois at Urbana-Champaign'... opens new ground for physicists, particularly those interested in condensed matter physics and chemistry...' A.K. Rajagopal, Naval Research Laboratory, Washington D.C.Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using applications to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices.

Statistical Mechanics Theory and Molecular Simulation

Statistical Mechanics  Theory and Molecular Simulation Author Mark Tuckerman
ISBN-10 0191523461
Release 2010-02-11
Pages 720
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Complex systems that bridge the traditional disciplines of physics, chemistry, biology, and materials science can be studied at an unprecedented level of detail using increasingly sophisticated theoretical methodology and high-speed computers. The aim of this book is to prepare burgeoning users and developers to become active participants in this exciting and rapidly advancing research area by uniting for the first time, in one monograph, the basic concepts of equilibrium and time-dependent statistical mechanics with the modern techniques used to solve the complex problems that arise in real-world applications. The book contains a detailed review of classical and quantum mechanics, in-depth discussions of the most commonly used ensembles simultaneously with modern computational techniques such as molecular dynamics and Monte Carlo, and important topics including free-energy calculations, linear-response theory, harmonic baths and the generalized Langevin equation, critical phenomena, and advanced conformational sampling methods. Burgeoning users and developers are thus provided firm grounding to become active participants in this exciting and rapidly advancing research area, while experienced practitioners will find the book to be a useful reference tool for the field.

Quantum Information

Quantum Information Author Stephen Barnett
ISBN-10 9780198527626
Release 2009-05-28
Pages 300
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Quantum information is an area of science, which brings together physics, information theory, computer science & mathematics. This book, which is based on two successful lecture courses, is intended to introduce readers to the ideas behind new developments including quantum cryptography, teleportation & quantum computing.

Quantum Information Theory

Quantum Information Theory Author Masahito Hayashi
ISBN-10 9783662497258
Release 2016-11-03
Pages 636
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This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions.

Analytical Mechanics for Relativity and Quantum Mechanics

Analytical Mechanics for Relativity and Quantum Mechanics Author Oliver Johns
ISBN-10 9780191001628
Release 2011-05-19
Pages 656
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An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.

Analytical Mechanics

Analytical Mechanics Author Antonio Fasano
ISBN-10 9780198508021
Release 2006-04-06
Pages 772
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Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.

Quantum Liquids

Quantum Liquids Author Anthony James Leggett
ISBN-10 9780191037214
Release 2006-09-28
Pages 408
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Starting from first principles, this book introduces the closely related phenomena of Bose condensation and Cooper pairing, in which a very large number of single particles or pairs of particles are forced to behave in exactly the same way, and explores their consequences in condensed matter systems. Eschewing advanced formal methods, the author uses simple concepts and arguments to account for the various qualitatively new phenomena which occur in Bose-condensed and Cooper-paired systems, including but not limited to the spectacular macroscopic phenomena of superconductivity and superfluidity. The physical systems discussed include liquid 4-He, the BEC alkali gases, "classical" superconductors, superfluid 3-He, "exotic" superconductors and the recently stabilized Fermi alkali gases. The book should be accessible to beginning graduate students in physics or advanced undergraduates.

Riemann Surfaces

Riemann Surfaces Author Simon Donaldson
ISBN-10 9780198526391
Release 2011-03-24
Pages 286
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An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.