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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.

Many Body Quantum Theory in Condensed Matter Physics

Many Body Quantum Theory in Condensed Matter Physics Author Henrik Bruus
ISBN-10 9780198566335
Release 2004-09-02
Pages 435
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The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

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.

Gender Through the Prism of Difference

Gender Through the Prism of Difference Author Maxine Baca Zinn
ISBN-10 9780190200046
Release 2015-07-01
Pages 592
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Revised edition of Gender through the prism of difference, 2011.

Quantum Field Theory of Many Body Systems

Quantum Field Theory of Many Body Systems Author Xiao-Gang Wen
ISBN-10 9780198530947
Release 2004-06-03
Pages 505
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This book is a pedagogical and systematic introduction to new concepts and quantum field theoretical methods in condensed matter physics, which may have an impact on our understanding of the origin of light, electrons and other elementary particles in the universe. Emphasis is on clear physical principles, while at the same time bringing students to the fore of today's research.

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.

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.--

Quantum Theory Groups and Representations

Quantum Theory  Groups and Representations Author Peter Woit
ISBN-10 9783319646121
Release 2017-11-01
Pages 668
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This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

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.


Supersymmetry Author P. Bin©♭truy
ISBN-10 9780198509547
Release 2006-11-09
Pages 520
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This book describes the basic concepts of supersymmetric theories. It is aimed at theorists, experimentalists and cosmologists interested in supersymmetry, and its content is correspondingly divided into three distinct tracks of study. The topics covered include a discussion of the motivation for supersymmetry in fundamental physics, a description of the minimal supersymmetric model as well as models of grand unification and string models, a presentation of the main scenarios forsupersymmetry breaking, including the concepts and results of dynamical breaking. On the astrophysics/cosmology side, the book includes discussions of supersymmetric dark matter candidates, inflation, dark energy, and the cosmological constant problem. Some very basic knowledge of quantum field theoryis needed and extensive appendices (in particular an introduction to the Standard Model of fundamental interactions) allow the reader to refresh and complete their notions.

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 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.

An Introduction to Statistical Mechanics and Thermodynamics

An Introduction to Statistical Mechanics and Thermodynamics Author Robert H. Swendsen
ISBN-10 9780199646944
Release 2012-03-01
Pages 401
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This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.

The Quantum Theory of Light

The Quantum Theory of Light Author Rodney Loudon
ISBN-10 0191589780
Release 2000-09-07
Pages 448
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This third edition, like its two predecessors, provides a detailed account of the basic theory needed to understand the properties of light and its interactions with atoms, in particular the many nonclassical effects that have now been observed in quantum-optical experiments. The earlier chapters describe the quantum mechanics of various optical processes, leading from the classical representation of the electromagnetic field to the quantum theory of light. The later chapters develop the theoretical descriptions of some of the key experiments in quantum optics. Over half of the material in this third edition is new. It includes topics that have come into prominence over the last two decades, such as the beamsplitter theory, squeezed light, two-photon interference, balanced homodyne detection, travelling-wave attenuation and amplification, quantum jumps, and the ranges of nonliner optical processes important in the generation of nonclassical light. The book is written as a textbook, with the treatment as a whole appropriate for graduate or postgraduate students, while earlier chapters are also suitable for final- year undergraduates. Over 100 problems help to intensify the understanding of the material presented.

Entanglement Information and the Interpretation of Quantum Mechanics

Entanglement  Information  and the Interpretation of Quantum Mechanics Author Gregg Jaeger
ISBN-10 9783540921288
Release 2009-06-12
Pages 307
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Entanglement was initially thought by some to be an oddity restricted to the realm of thought experiments. However, Bell’s inequality delimiting local - havior and the experimental demonstration of its violation more than 25 years ago made it entirely clear that non-local properties of pure quantum states are more than an intellectual curiosity. Entanglement and non-locality are now understood to ?gure prominently in the microphysical world, a realm into which technology is rapidly hurtling. Information theory is also increasingly recognized by physicists and philosophers as intimately related to the foun- tions of mechanics. The clearest indicator of this relationship is that between quantum information and entanglement. To some degree, a deep relationship between information and mechanics in the quantum context was already there to be seen upon the introduction by Max Born and Wolfgang Pauli of the idea that the essence of pure quantum states lies in their provision of probabilities regarding the behavior of quantum systems, via what has come to be known as the Born rule. The signi?cance of the relationship between mechanics and information became even clearer with Leo Szilard’s analysis of James Clerk Maxwell’s infamous demon thought experiment. Here, in addition to examining both entanglement and quantum infor- tion and their relationship, I endeavor to critically assess the in?uence of the study of these subjects on the interpretation of quantum 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

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.