The Aharonov-Bohm Effect

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Publisher :
ISBN 13 : 9783662137260
Total Pages : 164 pages
Book Rating : 4.1/5 (372 download)

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Book Synopsis The Aharonov-Bohm Effect by : Murray Peshkin

Download or read book The Aharonov-Bohm Effect written by Murray Peshkin and published by . This book was released on 2014-01-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Aharonov-Bohm Effect

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Publisher : Springer
ISBN 13 : 9783540515678
Total Pages : 153 pages
Book Rating : 4.5/5 (156 download)

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Book Synopsis The Aharonov-Bohm Effect by : Murray Peshkin

Download or read book The Aharonov-Bohm Effect written by Murray Peshkin and published by Springer. This book was released on 1989-08-23 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: 30 years ago, the Aharonov-Bohm effect was predicted for the first time; since then, this quantum phenomenon which so grossly irritates a physical intuition trained in Maxwellian electrodynamics, has been discussed and studied both experimentally and theoretically. A thorough understanding of the Aharonov-Bohm effect has substantial bearing on the foundations and interpretation of quantum mechanics, on the understanding of gauge theories and on the role of topological methods in mathematical physics. In the meantime, decisive precision measurements have experimentally confirmed the predictions of Aharonov and Bohm. In Part One of this book M. Peshkin outlines the theoretical ideas that are actually tested in the experiments described by A. Tonomura in Part Two. Both authors give a complete and pedagogically well written description of the Aharonov-Bohm effect and its measurement. The book is accessible to everybody interested in quantum mechanics and its foundations, in particular to students. The presentation also reviews the historical developments in some detail.

Wave-Particle Duality

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Publisher : Springer Science & Business Media
ISBN 13 : 1461533325
Total Pages : 309 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Wave-Particle Duality by : Franco Selleri

Download or read book Wave-Particle Duality written by Franco Selleri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume tries to continue a tradition of reviews of the contemporary research on the foundations of modern physics begun by the volume on the Einstein Podolsky-Rosen paradox that appeared a few years ago. (I) Its publication coin cides with the hundredth anniversary of de Broglie's birth (1892), a very welcome superposition, given the lasting influence of the Einstein-de Broglie conception of wave-particle duality. The present book, however, contains papers based on a broad spectrum of basic ideas, some even opposite to those that Einstein and de Broglie would have liked. The order of the contributions in this book is alphabetical by first author's name. It is important here to stress the presence of three reviews of fundamental experimental data, by Hasselbach (electron interferometry), Rauch (neutron interferometry), and Tonomura (Aharonov-Bohm effect). Hasselbach reviews several interesting experiments performed in 1Ubingen with the electron biprism interferometer. Wave-particle duality is brought out in striking ways, e. g., in the buildup of an interference pattern out of single events. The Sagnac effect for electrons is also discussed. The chapter by Rauch presents interesting results on wave-particle duality for neutrons. Of particular interest are the differences between stochastic and deterministic absorption in the neutron interferometer, and the concrete evidence for the quantum-mechanical 41T-symmetry of spinors. In the short chapter by Tonomura, conclusive evidence for the reality of the Aharonov Bohm effect is reviewed, collected in experiments based on advanced technologies of electron holography and microlithography.

Compendium of Quantum Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540706267
Total Pages : 901 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Compendium of Quantum Physics by : Daniel Greenberger

Download or read book Compendium of Quantum Physics written by Daniel Greenberger and published by Springer Science & Business Media. This book was released on 2009-07-25 with total page 901 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by leading quantum physicists, philosophers and historians, this comprehensive A-to-Z of quantum physics provides a lucid understanding of key concepts of quantum theory and experiment. It covers technical and interpretational aspects alike, and includes both traditional and new concepts, making it an indispensable resource for concise, up-to-date information about the many facets of quantum physics.

Quantum Paradoxes

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Publisher : John Wiley & Sons
ISBN 13 : 3527619127
Total Pages : 299 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Quantum Paradoxes by : Yakir Aharonov

Download or read book Quantum Paradoxes written by Yakir Aharonov and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Guide through the Mysteries of Quantum Physics! Yakir Aharonov is one of the pioneers in measuring theory, the nature of quantum correlations, superselection rules, and geometric phases and has been awarded numerous scientific honors. The author has contributed monumental concepts to theoretical physics, especially the Aharonov-Bohm effect and the Aharonov-Casher effect. Together with Daniel Rohrlich, Israel, he has written a pioneering work on the remaining mysteries of quantum mechanics. From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, the text combines mathematical rigor with penetrating and concise language. More than 200 exercises introduce readers to the concepts and implications of quantum mechanics that have arisen from the experimental results of the recent two decades. With students as well as researchers in mind, the authors give an insight into that part of the field, which led Feynman to declare that "nobody understands quantum mechanics". * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/

Foundations Of Quantum Mechanics In The Light Of New Technology: Selected Papers From The Proceedings Of The First Through Fourth International Symposia On Foundations Of Quantum Mechanics

Download Foundations Of Quantum Mechanics In The Light Of New Technology: Selected Papers From The Proceedings Of The First Through Fourth International Symposia On Foundations Of Quantum Mechanics PDF Online Free

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Publisher : World Scientific
ISBN 13 : 9814498289
Total Pages : 500 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Foundations Of Quantum Mechanics In The Light Of New Technology: Selected Papers From The Proceedings Of The First Through Fourth International Symposia On Foundations Of Quantum Mechanics by : Yoshimasa Murayama

Download or read book Foundations Of Quantum Mechanics In The Light Of New Technology: Selected Papers From The Proceedings Of The First Through Fourth International Symposia On Foundations Of Quantum Mechanics written by Yoshimasa Murayama and published by World Scientific. This book was released on 1997-01-03 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: ”I re-experience once again the stimulating atmosphere of each of the ISQMs: There were theoretical discussions in diverse frontier areas of physics as well as descriptions of beautiful new (or planned) experiments and technologies. From each of the Symposia I always came away with the exciting feeling of how wonderful physics is and how lucky it is to be a physicist in this era.”Chen Ning YangThis volume is selected from the First through Fourth International Symposia on Foundations of Quantum Mechanics. The International Symposia on Foundations of Quantum Mechanics in the Light of New Technology (ISQMs) provide a unique interdisciplinary forum where distinguished theorists and experimentalists of diverse fields of research gather to discuss basic problems in quantum mechanics in the light of new technology. This volume collects 51 papers selected from over 200 papers by many distinguished scientists. It includes articles by C N Yang, J A Wheeler, Y Nambu, L Esaki and M P A Fisher, to name just a few, and contains topics ranging from quantum measurements to quantum cosmology.

Emergent Quantum Mechanics

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Publisher : MDPI
ISBN 13 : 3038976164
Total Pages : 544 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Emergent Quantum Mechanics by : Jan Walleczek

Download or read book Emergent Quantum Mechanics written by Jan Walleczek and published by MDPI. This book was released on 2019-04-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in "deeper-level" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de Broglie-Bohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeper-level questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and non-classical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.

Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations

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Publisher : Springer Nature
ISBN 13 : 9811521808
Total Pages : 505 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations by : Asao Arai

Download or read book Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations written by Asao Arai and published by Springer Nature. This book was released on 2020-02-04 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation–theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov–Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.

Quantum World Unveiled By Electron Waves The

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Publisher : World Scientific
ISBN 13 : 9814499536
Total Pages : 172 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum World Unveiled By Electron Waves The by : Akira Tonomura

Download or read book Quantum World Unveiled By Electron Waves The written by Akira Tonomura and published by World Scientific. This book was released on 1998-08-15 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes the experimental aspects of the author's own laboratory. Instead of merely presenting a dry collection of knowledge, the author unfolds to the readers his vivid experiences of enthusiasm, sheer pleasure, and yet frustrations in the course of his own research. In this way, the book aims to arouse the reader's curiosity in the strange behaviors of electrons in the microscopic world, which differ significantly from our common sense and daily experiences of the macroscopic world.The fields of physics explored in the book are quantum mechanics, superconductivity, electron microscopy, holography, magnetism, and unified theory — areas of the author's study using electron waves.A world-renowned expert in electron holography, the author promises the interested reader a fascinating ride through the quantum world of electron waves, accompanied by many colorful illustrations that delight the senses and captivate the imagination.

Biophysics Of Consciousness: A Foundational Approach

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Publisher : World Scientific
ISBN 13 : 9814644277
Total Pages : 665 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Biophysics Of Consciousness: A Foundational Approach by : Roman R Poznanski

Download or read book Biophysics Of Consciousness: A Foundational Approach written by Roman R Poznanski and published by World Scientific. This book was released on 2016-08-25 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of how the brain produces consciousness, subjectivity and 'something it is like to be' remains one of the greatest challenges to a complete science of the natural world. While various scientists and philosophers approach the problem from their own unique perspectives and in the terms of their own respective fields, Biophysics of Consciousness: A Foundational Approach attempts a consilience across disparate disciplines to explain how it is possible that an objective brain produces subjective experience.This volume unites the crème de la crème of physicists, neuroscientists, and psychiatrists in the attempt to understand consciousness through a foundational approach encompassing ontological, evolutionary, neurobiological, and Freudian interpretations with the focus on conscious phenomena occurring in the brain. By integrating the perspectives of these diverse disciplines with the latest research and theories on the biophysics of the brain, the book tries to explain how consciousness can be an adaptive and causal element in the natural world.

Quantum Arrangements

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Publisher : Springer Nature
ISBN 13 : 3030773671
Total Pages : 205 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Quantum Arrangements by : Gregg Jaeger

Download or read book Quantum Arrangements written by Gregg Jaeger and published by Springer Nature. This book was released on 2021-10-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of novel contributions and reviews by renowned researchers in the foundations of quantum physics, quantum optics, and neutron physics. It is published in honor of Michael Horne, whose exceptionally clear and groundbreaking work in the foundations of quantum mechanics and interferometry, both of photons and of neutrons, has provided penetrating insight into the implications of modern physics for our understanding of the physical world. He is perhaps best known for the Clauser-Horne-Shimony-Holt (CHSH) inequality. This collection includes an oral history of Michael Horne's contributions to the foundations of physics and his connections to other eminent figures in the history of the subject, among them Clifford Shull and Abner Shimony.

In Memory of Akira Tonomura

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Publisher : World Scientific
ISBN 13 : 9814472905
Total Pages : 328 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis In Memory of Akira Tonomura by : K. Fujikawa

Download or read book In Memory of Akira Tonomura written by K. Fujikawa and published by World Scientific. This book was released on 2014 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memorial volume in honor of Dr Akira Tonomura is to commemorate his enormous contributions to fundamental physics in addition to the basic technology of electron microscopy. Dr Tonomura passed away on May 2, 2012 at the age of 70. He was Fellow of Hitachi, Ltd., Group Director of Single Quantum Dynamics Research Group of RIKEN, Principal Investigator of the FIRST Tonomura Project, and Professor of Okinawa Institute of Science and Technology Graduate University. The book consists of: 1) contributions from distinguished physicists, who participated in the OC Tonomura FIRST International Symposium on Electron Microscopy and Gauge FieldsOCO planned by Tonomura himself and held in Tokyo on May 9OCo10, 2012, and 2) reprints of key papers by Tonomura and his team. Invited speakers at this Symposium include Chen Ning Yang and other distinguished physicists such as Yakir Aharonov, Gordon Baym, Christian Colliex, Anthony J Leggett, Naoto Nagaosa, Nobuyuki Osakabe and Masahito Ueda. This OC memorialOCO Symposium was originally planned to commemorate the start of the Japanese-government-sponsored FIRST Tonomura Project to construct the 1.2 MV holography electron microscope capable of observing quantum phenomena in the microscopic world. In addition, the book includes contributions from participants of the past ISQM-Tokyo symposia held at Hitachi and from Tonomura''s longtime friends, including Michael Berry, Jerome Friedman, Hidetoshi Fukuyama, Joseph Imry, Yoshinori Tokura, Jaw-Shen Tsai, and Anton Zeilinger. The co-editors are Kazuo Fujikawa, Tonomura''s longtime friend, and Yoshimasa A Ono who is Tonomura''s associate at Hitachi Advanced Research Laboratory and now in the FIRST Tonomura Project. Contents: My Dream of Ultimate Holography Electron Microscope (Akira Tonomura); Biography of Akira Tonomura (April 1942 OCo May 2012) (Nobuyuki Osakabe); Tonomura FIRST International Symposium on OC Electron Microscopy and Gauge FieldsOCO (Yoshimasa A Ono); Recollections of Akira Tonomura: Thank You and Farewell to Tonomura-kun (Hidetoshi Fukuyama); Remembering Akira Tonomura (Michael Berry); Akira Tonomura: An Experimental Visionary (Anton Zeilinger); Dr. Akira Tonomura: Master of Experimental Physics (Kazuo Fujikawa); Gauge Theory and Aharonov-Bohm Effect: Topology and Gauge Theory in Physics (Chen Ning Yang); On the Aharonov-Bohm Effect and Why Heisenberg Captures Nonlocality Better Than SchrAdinger (Yakir Aharonov); How the Test of Aharonov-Bohm Effect was Initiated at Hitachi Laboratory (Nobuyuki Osakabe); Some Reflections Concerning Geometrical Phases (Anthony J Leggett and Yiruo Lin); Mesoscopic Aharonov-Bohm Interferometers: Decoherence and Thermoelectric Transport (Ora Entin-Wohlman, Amnon Aharony and Yoseph Imry); Spin Textures and Gauge Fields in Frustrated Magnets (Naoto Nagaosa and Yoshinori Tokura); Gauge Theory and Artificial Spin Ices: Imaging Emergent Monopoles with Electron Microscopy (Shawn D Pollard and Yimei Zhu); Do Dispersionless Forces Exist? (Herman Batelaan and Scot McGregor); Aharonov-Bohm Effect and Geometric Phases OCo Exact and Approximate Topology (Kazuo Fujikawa); A Brief Overview and Topological Aspects of Gaseous Bose-Einstein Condensates (Masahito Ueda); Application of Electron Microscopy to Quantum Mechanics and Materials Sciences: Mapping Electric Fields with Inelastic Electrons in a Transmission Electron Microscope (Christian Colliex); OC The Picture is My LifeOCO (Shuji Hasegawa); Direct Observation of Electronically Phase-Separated Charge Density Waves in Lu 2 Ir 3 Si 5 by Transmission Electron Microscopy (Cheng-Hsuan Chen); Basic Discoveries in Electromagnetic Field Visualization (Daisuke Shindo); Nanomagnetism Visualized by Electron Holography (Hyun Soon Park); Quantum Physics: Probing the Proton with Electron Microscopy (Jerome I Friedman); Hanbury BrownOCoTwiss Interferometry with Electrons: Coulomb vs. Quantum Statistics (Gordon Baym and Kan Shen); Vortex Molecules in Thin Films of Layered Superconductors (Alexander I Buzdin); Coherent Quantum Phase Slip (Jaw-Shen Tsai); Coherency of Spin Precession in Metallic Lateral Spin Valves (YoshiChika Otani, Hiroshi Idzuchi and Yasuhiro Fukuma); Transverse Relativistic Effects in Paraxial Wave Interference (Konstantin Y Bliokh, Yana V Izdebskaya and Franco Nori). Readership: Graduate students and researchers in physics, materials science and related fields."

Quaternionic Quantum Mechanics and Quantum Fields

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Publisher : Oxford University Press, USA
ISBN 13 : 019506643X
Total Pages : 599 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Quaternionic Quantum Mechanics and Quantum Fields by : Stephen L. Adler

Download or read book Quaternionic Quantum Mechanics and Quantum Fields written by Stephen L. Adler and published by Oxford University Press, USA. This book was released on 1995 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been known since the 1930s that quantum mechanics can be formulated in quaternionic as well as complex Hilbert space. But systematic work on the quaternionic extension of standard quantum mechanics has scarcely begun. Authored by a world-renowned theoretical physicist, this booksignals a major conceptual advance and gives a detailed development and exposition of quaternionic quantum mechanics for the purpose of determining whether quaternionic Hilbert space is the appropriate arena for the long sought-after unification of the standard model forces with gravitation.Significant results from earlier literature, together with many new results obtained by the author, are integrated to give a coherent picture of the subject. The book also provides an introduction to the problem of formulating quantum field theories in quaternionic Hilbert space. The book concludeswith a chapter devoted to discussions on where quaternionic quantum mechanics may fit into the physics of unification, experimental and measurement theory issues, and the many open questions that still challenge the field. This well-written treatise is a very significant contribution to theoreticalphysics. It will be eagerly read by a wide range of physicists.

Semiconductor Nanostructures

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Publisher : Oxford University Press
ISBN 13 : 019953442X
Total Pages : 569 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Semiconductor Nanostructures by : Thomas Ihn

Download or read book Semiconductor Nanostructures written by Thomas Ihn and published by Oxford University Press. This book was released on 2010 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the physics of semiconductor nanostructures and their transport properties emphasizes five fundamental transport phenomena: quantized conductance, tunnelling transport, the Aharonov-Bohm effect, the quantum Hall effect and the Coulomb blockade effect.

Topological Foundations Of Electromagnetism

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Publisher : World Scientific
ISBN 13 : 981447214X
Total Pages : 196 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topological Foundations Of Electromagnetism by : Terence William Barrett

Download or read book Topological Foundations Of Electromagnetism written by Terence William Barrett and published by World Scientific. This book was released on 2008-03-13 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Foundations of Electromagnetism seeks a fundamental understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell's theory) must be extended or generalized in order to provide an explanation and understanding of, until now, unusual electromagnetic phenomena. Key to this generalization is an understanding of the circumstances under which the so-called A potential fields have physical effects. Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. Suggestions for potential new technologies based on this new understanding and approach to conditional electromagnetism are also given.

Problems in Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 8847023068
Total Pages : 361 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Problems in Quantum Mechanics by : Emilio d'Emilio

Download or read book Problems in Quantum Mechanics written by Emilio d'Emilio and published by Springer Science & Business Media. This book was released on 2012-02-28 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 242 solved problems of several degrees of difficulty in nonrelativistic Quantum Mechanics, ranging from the themes of the crisis of classical physics, through the achievements in the framework of modern atomic physics, down to the still alive, more intriguing aspects connected e.g. with the EPR paradox, the Aharonov--Bohm effect, quantum teleportation.

Quantum Mechanics

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Publisher : CRC Press
ISBN 13 : 1351333364
Total Pages : 720 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Quantum Mechanics by : K. Kong Wan

Download or read book Quantum Mechanics written by K. Kong Wan and published by CRC Press. This book was released on 2019-07-09 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical formalism of quantum theory in terms of vectors and operators in infinite-dimensional complex vector spaces is very abstract. The definitions of many mathematical quantities used do not seem to have an intuitive meaning, which makes it difficult to appreciate the mathematical formalism and understand quantum mechanics. This book provides intuition and motivation to the mathematics of quantum theory, introducing the mathematics in its simplest and familiar form, for instance, with three-dimensional vectors and operators, which can be readily understood. Feeling confident about and comfortable with the mathematics used helps readers appreciate and understand the concepts and formalism of quantum mechanics. This book is divided into four parts. Part I is a brief review of the general properties of classical and quantum systems. A general discussion of probability theory is also included which aims to help in understanding the probability theories relevant to quantum mechanics. Part II is a detailed study of the mathematics for quantum mechanics. Part III presents quantum mechanics in a series of postulates. Six groups of postulates are presented to describe orthodox quantum systems. Each statement of a postulate is supplemented with a detailed discussion. To make them easier to understand, the postulates for discrete observables are presented before those for continuous observables. Part IV presents several illustrative applications, which include harmonic and isotropic oscillators, charged particle in external magnetic fields and the Aharonov–Bohm effect. For easy reference, definitions, theorems, examples, comments, properties and results are labelled with section numbers. Various symbols and notations are adopted to distinguish different quantities explicitly and to avoid misrepresentation. Self-contained both mathematically and physically, the book is accessible to a wide readership, including astrophysicists, mathematicians and philosophers of science who are interested in the foundations of quantum mechanics.