Frontier Problems in Quantum Mechanics

Frontier Problems in Quantum Mechanics PDF Author: Lee Chang
Publisher: World Scientific
ISBN: 9789813146846
Category : Science
Languages : en
Pages : 750

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Book Description
Wave-particle dualism, complementarity principle, Bell's theorem and related experiments -- Quantum entanglement and its applications to quantum information and quantum computing -- Geometrical phases in quantum mechanics -- Boundary between quantum and classical mechanics, entanglement and decoherence -- Path integral formulation of quantum mechanics -- Quantum mechanics on the macroscopic level -- Topological phase factors in quantum systems -- Cavity quantum electrodynamics, van der Waals forces and Casimir effect -- The quantum Hall effect -- Bose-Einstein condensation -- The Yangian commutation relations in quantum mechanics -- RTT relation and the Yan-Baxer equation, physical significance of the quantum algebras

Frontier Problems in Quantum Mechanics

Frontier Problems in Quantum Mechanics PDF Author: Lee Chang
Publisher: World Scientific
ISBN: 9789813146846
Category : Science
Languages : en
Pages : 750

Get Book Here

Book Description
Wave-particle dualism, complementarity principle, Bell's theorem and related experiments -- Quantum entanglement and its applications to quantum information and quantum computing -- Geometrical phases in quantum mechanics -- Boundary between quantum and classical mechanics, entanglement and decoherence -- Path integral formulation of quantum mechanics -- Quantum mechanics on the macroscopic level -- Topological phase factors in quantum systems -- Cavity quantum electrodynamics, van der Waals forces and Casimir effect -- The quantum Hall effect -- Bose-Einstein condensation -- The Yangian commutation relations in quantum mechanics -- RTT relation and the Yan-Baxer equation, physical significance of the quantum algebras

Solving Frontier Problems of Physics: The Decomposition Method

Solving Frontier Problems of Physics: The Decomposition Method PDF Author: G. Adomian
Publisher: Springer Science & Business Media
ISBN: 9401582890
Category : Science
Languages : en
Pages : 367

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Book Description
The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems. This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches. The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas. The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted. For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations.

Einstein’s Struggles with Quantum Theory

Einstein’s Struggles with Quantum Theory PDF Author: Dipankar Home
Publisher: Springer Science & Business Media
ISBN: 0387715207
Category : Science
Languages : en
Pages : 374

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Book Description
This book presents an account of all aspects of Einstein’s achievements in quantum theory, his own views, and the progress his work has stimulated since his death. While some chapters use mathematics at an undergraduate physics level, a path is provided for the reader more concerned with ideas than equations, and the book will benefit to anybody interested in Einstein and his approach to the quantum.

Quantum Mechanics

Quantum Mechanics PDF Author: Harry J. Lipkin
Publisher: Courier Corporation
ISBN: 0486151859
Category : Science
Languages : en
Pages : 483

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Book Description
Acclaimed as "excellent" (Nature) and "very original and refreshing" (Physics Today), these studies examine the Mössbauer effect, many-body quantum mechanics, scattering theory, Feynman diagrams, and relativistic quantum mechanics. 1973 edition.

Speakable and Unspeakable in Quantum Mechanics

Speakable and Unspeakable in Quantum Mechanics PDF Author: J. S. Bell
Publisher: Cambridge University Press
ISBN: 1139811061
Category : Science
Languages : en
Pages : 195

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Book Description
John Bell, FRS was one of the leading expositors and interpreters of modern quantum theory. He is particularly famous for his discovery of the crucial difference between the predictions of conventional quantum mechanics and the implications of local causality, a concept insisted on by Einstein. John Bell's work played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book includes all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics, including two papers that appeared after the first edition was published. The book includes a short Preface written by the author for the first edition, and also an introduction by Alain Aspect that puts into context John Bell's enormous contribution to the quantum philosophy debate.

Manipulating Quantum Systems

Manipulating Quantum Systems PDF Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
ISBN: 0309499542
Category : Science
Languages : en
Pages : 315

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Book Description
The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.

John S. Bell on the Foundations of Quantum Mechanics

John S. Bell on the Foundations of Quantum Mechanics PDF Author: J. S. Bell
Publisher: World Scientific
ISBN: 9789810246884
Category : Science
Languages : en
Pages : 252

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Book Description
This book is the most complete collection of John S Bell's research papers, review articles and lecture notes on the foundations of quantum mechanics. Some of this material has hitherto been difficult to access. The book also appears in a paperback edition, aimed at students and young researchers.This volume will be very useful to researchers in the foundations and applications of quantum mechanics.

Foundations and Interpretation of Quantum Mechanics

Foundations and Interpretation of Quantum Mechanics PDF Author: Gennaro Auletta
Publisher: World Scientific
ISBN: 9789810246143
Category : Science
Languages : en
Pages : 1030

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Book Description
The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of ?Schr”dinger cats?; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches.

Time-dependent Quantum Mechanics Of Two-level Systems

Time-dependent Quantum Mechanics Of Two-level Systems PDF Author: James P Lavine
Publisher: World Scientific Publishing
ISBN: 9813272600
Category : Science
Languages : en
Pages : 255

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Book Description
With both industrial and teaching experience, the author explains the effects of time dependence in systems with two energy levels. The book starts with time-independent interactions and goes on to treat interactions with time-dependent electric and magnetic fields. Complete derivations are presented for each case, so the reader understands how the solutions are found. Both closed-form and numerical solutions are treated, and the calculations are compared with experimental data from the literature. Numerous plots are provided to show how the solutions depend on the parameters of the interactions.The book builds upon an undergraduate course in quantum mechanics and is useful for readers interested in magnetic resonance and quantum optics. In addition, this book is ideal for self-study by students or researchers starting on two-level systems. The detailed derivations and plots should ease readers into the study of two-level systems in a wide variety of settings.

Quantum Physics And Modern Applications: Problems And Solutions

Quantum Physics And Modern Applications: Problems And Solutions PDF Author: Seng Ghee Tan
Publisher: World Scientific
ISBN: 9811270414
Category : Science
Languages : en
Pages : 297

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Book Description
This book is written with the view of providing learners a fast track into the modern applications of quantum physics. It is designed as a book of Problems and Solutions, consisting of more than 200 exercises with explicitly worked out solutions.Focusing on modern research topics, the problems are designed to suit recent developments such as graphene, topological materials, spintronics, and quantum computation and information (QCI). Categorized into eight chapters, the book first introduces QM for undergraduates with an emphasis on the Dirac formalism and its representation in the form of matrices and functions. Chapter 2 is dedicated to spin physics, where the spinor formalism is increasingly relevant to research on spintronics, graphene, topological systems, Dirac, Weyl, and all branches of quantum information sciences. Chapter 3 deals with second quantization and its applications in nanoscience and condensed matter physics. Building on the foundations of the previous two chapters, Chapter 4 expounds on the non-equilibrium Green's Function (NEGF) — a modern topic with problems designed to suit applications in nanoscale electronic and spintronics systems. Chapter 5 covers gauge fields and topology, with a modern emphasis on applications in new materials such as graphene and topological systems. Chapter 6 comprises numerous advanced sub-topics in condensed matter physics as well as conventional topics such as band structures and entanglement entropy. Chapter 7 extends to cross-disciplinary and miscellaneous physics, where the topics are not necessarily quantum by nature, but deal with issues that have inspired the development of quantum mechanics and quantum fields. Lastly, the book caters to quantum computation with a preamble on the QM foundations of spin, projection, measurement and density matrices which underpin applications in quantum gates, quantum teleportation and entanglement.Readers can expect a handy and effective guide in mastering problem solving techniques in frontier applications of quantum physics.