Supersymmetry In Quantum Mechanics

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Supersymmetry in Quantum Mechanics

Author : Fred Cooper
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.

Supersymmetric Methods in Quantum and Statistical Physics

Author : Georg Junker
Publisher : Springer Science & Business Media
ISBN 13 : 364261194X
Total Pages : 179 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Supersymmetric Methods in Quantum and Statistical Physics by : Georg Junker

Download or read book Supersymmetric Methods in Quantum and Statistical Physics written by Georg Junker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of supersymmetry was originally introduced in relativistic quantum field theories as a generalization of Poincare symmetry. In 1976 Nicolai sug gested an analogous generalization for non-relativistic quantum mechanics. With the one-dimensional model introduced by Witten in 1981, supersym metry became a major tool in quantum mechanics and mathematical, sta tistical, and condensed-IIll;l. tter physics. Supersymmetry is also a successful concept in nuclear and atomic physics. An underlying supersymmetry of a given quantum-mechanical system can be utilized to analyze the properties of the system in an elegant and effective way. It is even possible to obtain exact results thanks to supersymmetry. The purpose of this book is to give an introduction to supersymmet ric quantum mechanics and review some of the recent developments of vari ous supersymmetric methods in quantum and statistical physics. Thereby we will touch upon some topics related to mathematical and condensed-matter physics. A discussion of supersymmetry in atomic and nuclear physics is omit ted. However, the reader will find some references in Chap. 9. Similarly, super symmetric field theories and supergravity are not considered in this book. In fact, there exist already many excellent textbooks and monographs on these topics. A list may be found in Chap. 9. Yet, it is hoped that this book may be useful in preparing a footing for a study of supersymmetric theories in atomic, nuclear, and particle physics. The plan of the book is as follows.

Supersymmetry In Quantum Mechanics

Author : Frederick M Cooper
Publisher : World Scientific
ISBN 13 : 9814491144
Total Pages : 223 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Supersymmetry In Quantum Mechanics by : Frederick M Cooper

Download or read book Supersymmetry In Quantum Mechanics written by Frederick M Cooper and published by World Scientific. This book was released on 2001-06-29 with total page 223 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 soliton problems and isospectral quantum Hamiltonians, and the relation to the inverse scattering problem.

Supersymmetry in Particle Physics

Author : Ian Aitchison
Publisher : Cambridge University Press
ISBN 13 : 1139467050
Total Pages : 214 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Supersymmetry in Particle Physics by : Ian Aitchison

Download or read book Supersymmetry in Particle Physics written by Ian Aitchison and published by Cambridge University Press. This book was released on 2007-09-20 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry represents the culmination of the search for fundamental symmetries that has dominated particle physics for 50 years. Traditionally, the constituents of matter (fermions) were regarded as different from the particles (bosons) transmitting the forces between them. In supersymmetry, fermions and bosons are unified. Intended for graduate students in particle physics, and researchers in experimental and phenomenological supersymmetry, this textbook, first published in 2007, provides a simple introduction to a previously formidably technical field. Its elementary, practical treatment brings readers to the frontier of contemporary research, in particular the experiments at the Large Hadron Collider. Theories are constructed through an intuitive 'trial and error' approach. Basic elements of spinor formalism and superfields are introduced, allowing readers to access more advanced treatments. Emphasis is placed on physical understanding, and on detailed derivations of important steps. Many short exercises are included, making for a valuable and accessible self-study tool.

Supersymmetric Quantum Mechanics

Author : Asim Gangopadhyaya
Publisher : World Scientific
ISBN 13 : 9814313084
Total Pages : 291 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Supersymmetric Quantum Mechanics by : Asim Gangopadhyaya

Download or read book Supersymmetric Quantum Mechanics written by Asim Gangopadhyaya and published by World Scientific. This book was released on 2011 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a single compact source for undergraduate and graduate students and professional physicists who want to understand the essentials of supersymmetric quantum mechanics (SUSYQM). The text contains a large selection of examples, problems, and solutions that illustrate the fundamentals of SUSYQM and its applications. It is richly illustrated with figures and contains an attractive and relevant list of topics.

Supersymmetric Methods in Quantum, Statistical and Solid State Physics: Enlarged and Revised Edition

Author : Priv Doz Georg Junker
Publisher : Institute of Physics Publishing
ISBN 13 : 9780750320276
Total Pages : 250 pages
Book Rating : 4.3/5 (22 download)

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Book Synopsis Supersymmetric Methods in Quantum, Statistical and Solid State Physics: Enlarged and Revised Edition by : Priv Doz Georg Junker

Download or read book Supersymmetric Methods in Quantum, Statistical and Solid State Physics: Enlarged and Revised Edition written by Priv Doz Georg Junker and published by Institute of Physics Publishing. This book was released on 2019-01-31 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the earlier edition, this updated work now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years. Aimed at graduate students and scientists, it provides a thorough review of supersymmetric quantum mechanics and now also includes problems and solutions.

An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry

Author : Ilarion V. Melnikov
Publisher : Springer
ISBN 13 : 3030050858
Total Pages : 482 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov

Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.

Supersymmetry In Quantum and Classical Mechanics

Author : Bijan Kumar Bagchi
Publisher : CRC Press
ISBN 13 : 9781420035810
Total Pages : 242 pages
Book Rating : 4.0/5 (358 download)

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Book Synopsis Supersymmetry In Quantum and Classical Mechanics by : Bijan Kumar Bagchi

Download or read book Supersymmetry In Quantum and Classical Mechanics written by Bijan Kumar Bagchi and published by CRC Press. This book was released on 2000-09-21 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following Witten's remarkable discovery of the quantum mechanical scheme in which all the salient features of supersymmetry are embedded, SCQM (supersymmetric classical and quantum mechanics) has become a separate area of research . In recent years, progress in this field has been dramatic and the literature continues to grow. Until now, no book has offered an overview of the subject with enough detail to allow readers to become rapidly familiar with its key ideas and methods. Supersymmetry in Classical and Quantum Mechanics offers that overview and summarizes the major developments of the last 15 years. It provides both an up-to-date review of the literature and a detailed exposition of the underlying SCQM principles. For those just beginning in the field, the author presents step-by-step details of most of the computations. For more experienced readers, the treatment includes systematic analyses of more advanced topics, such as quasi- and conditional solvability and the role of supersymmetry in nonlinear systems.

Five Lectures on Supersymmetry

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871935
Total Pages : 132 pages
Book Rating : 4.8/5 (719 download)

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Book Synopsis Five Lectures on Supersymmetry by : Daniel S. Freed

Download or read book Five Lectures on Supersymmetry written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas.

Symmetries in Quantum Mechanics

Author : M Chaichian
Publisher : CRC Press
ISBN 13 : 1000944166
Total Pages : 320 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Symmetries in Quantum Mechanics by : M Chaichian

Download or read book Symmetries in Quantum Mechanics written by M Chaichian and published by CRC Press. This book was released on 2023-07-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.

Supersymmetry and Integrable Models

Author : Henrik Aratyn
Publisher : Springer
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Supersymmetry and Integrable Models by : Henrik Aratyn

Download or read book Supersymmetry and Integrable Models written by Henrik Aratyn and published by Springer. This book was released on 1998-01-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines supersymmetry modelling in quantum mechanics and integrable models in a unique way. It addresses researchers as well as graduate students. Along with articles that present new technical results, the reader will also find pedagogically written reviews. Recent applications of supersymmetric integrable models are also given.

Supersymmetry and Beyond

Author : Gordon Kane
Publisher : Basic Books
ISBN 13 : 0465080464
Total Pages : 216 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Supersymmetry and Beyond by : Gordon Kane

Download or read book Supersymmetry and Beyond written by Gordon Kane and published by Basic Books. This book was released on 2013-05-14 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The epic story of the quest to uncover a fully unified theory of physics, revised to reflect the possible discovery of the Higgs Boson.

Concise Encyclopedia of Supersymmetry

Author : Steven Duplij
Publisher : Springer Science & Business Media
ISBN 13 : 1402013388
Total Pages : 516 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Concise Encyclopedia of Supersymmetry by : Steven Duplij

Download or read book Concise Encyclopedia of Supersymmetry written by Steven Duplij and published by Springer Science & Business Media. This book was released on 2005-11-07 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first full-size Encyclopedia which simultaneously covers such well-established and modern subjects as quantum field theory, supersymmetry, supergravity, M-theory, black holes and quantum gravity, noncommutative geometry, representation theory, categories and quantum groups, and their generalizations. The extraordinary historical part "the SUSY story," more than 700 authored articles from more than 250 high-level experts (including Nobel Prize Winner Gerard 't Hooft), a detailed (50 pages) Subject/Article three level index and an Author index, make the SUSY Encyclopedia an outstanding and indispensable book on the desk of researchers, experts, Ph.D. students, specialists and professionals in modern methods of theoretical and mathematical physics.

Supersymmetry and String Theory

Author : Michael Dine
Publisher : Cambridge University Press
ISBN 13 : 113946244X
Total Pages : 481 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Supersymmetry and String Theory by : Michael Dine

Download or read book Supersymmetry and String Theory written by Michael Dine and published by Cambridge University Press. This book was released on 2007-01-04 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.

Introduction to Supersymmetry and Supergravity

Author : Peter C. West
Publisher : World Scientific
ISBN 13 : 9789810200992
Total Pages : 448 pages
Book Rating : 4.2/5 (9 download)

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Book Synopsis Introduction to Supersymmetry and Supergravity by : Peter C. West

Download or read book Introduction to Supersymmetry and Supergravity written by Peter C. West and published by World Scientific. This book was released on 1990 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the 1st edition of this monograph (addressed to advanced graduate students and researchers ) the author, responding to developments within superstring theory, has added 51/2 chapters dealing with two- dimensional supersymmetry. Authoritative, as lucid as the subject matter allows (yet demanding nonetheless!), attractively produced and priced. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

Supersymmetry and Supergravity

Author : Julius Wess
Publisher : Princeton University Press
ISBN 13 : 9780691025308
Total Pages : 274 pages
Book Rating : 4.0/5 (253 download)

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Book Synopsis Supersymmetry and Supergravity by : Julius Wess

Download or read book Supersymmetry and Supergravity written by Julius Wess and published by Princeton University Press. This book was released on 1992-03-23 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This widely acclaimed introduction to N = 1 supersymmetry and supergravity is aimed at readers familiar with relativistic quantum field theory who wish to learn about the supersymmetry algebra. In this new volume Supersymmetry and Supergravity has been greatly expanded to include a detailed derivation of the most general coupling of super-symmetric gauge theory to supergravity. The final result is the starting point for phenomenological studies of supersymmetric theories. The book is distinguished by its pedagogical approach to supersymmetry. It develops several topics in advanced field theory as the need arises. It emphasizes the logical coherence of the subject and should appeal to physicists whose interests range from the mathematical to the phenomenological. In praise of the first edition: "A beautiful exposition of the original ideas of Wess and Zumino in formulating N = 1 supersymmetry and supergravity theories, couched in the language of superfields introduced by Strathdee and the reviewer.... [All] serious students of particle physics would do well to acquire a copy."--Abdus Salam, Nature "An excellent introduction to this exciting area of theoretical physics."--C. J. Isham, Physics Bulletin

Quantum Field Theory, Supersymmetry, and Enumerative Geometry

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 0821834312
Total Pages : 297 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quantum Field Theory, Supersymmetry, and Enumerative Geometry by : Daniel S. Freed

Download or read book Quantum Field Theory, Supersymmetry, and Enumerative Geometry written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2006 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present diverse sets of lectures. This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Supersymmetry, and Enumerative Geometry, three very active research areas in mathematics and theoretical physics. With this volume, the Park City Mathematics Institute returns to the general topic of the first institute: the interplay between quantum field theory and mathematics. Two major themes at this institute were supersymmetry and algebraic geometry, particularly enumerative geometry. The volume contains two lecture series on methods of enumerative geometry that have their roots in QFT. The first series covers the Schubert calculus and quantum cohomology. The second discusses methods from algebraic geometry for computing Gromov-Witten invariants. There are also three sets of lectures of a more introductory nature: an overview of classical field theory and supersymmetry, an introduction to supermanifolds, and an introduction to general relativity. This volume is recommended for independent study and is suitable for graduate students and researchers interested in geometry and physics. Information for our distributors: Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.