A Trajectory Description of Quantum Processes II Applications

Author: Ángel S. Sanz
Publisher: Springer
ISBN: 3642179746
Format: PDF, ePub, Docs
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Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning as an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This second volume is focussed on simple and basic applications of quantum processes such as interference and diffraction of wave packets, tunneling, diffusion and bound-state and scattering problems. The corresponding analysis is carried out within the Bohmian framework. By stressing its interpretational aspects, the book leads the reader to an alternative and complementary way to better understand the underlying quantum dynamics.

A Trajectory Description of Quantum Processes I Fundamentals

Author: Ángel S. Sanz
Publisher: Springer
ISBN: 3642180922
Format: PDF, Docs
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Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.

A Trajectory Description of Quantum Processes I Fundamentals

Author: Ángel S. Sanz
Publisher: Springer
ISBN: 9783642180934
Format: PDF, ePub, Mobi
Download Now
Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.

Applied Bohmian Mechanics

Author: Xavier Oriols Pladevall
Publisher: CRC Press
ISBN: 9814316393
Format: PDF, ePub
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Most textbooks explain quantum mechanics as a story where each step follows naturally from the one preceding it. However, the development of quantum mechanics was exactly the opposite. It was a zigzagging route full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative routes. This book demonstrates the huge practical utility of another of these routes in explaining quantum phenomena in various research fields. Bohmian mechanics—the formulation of the quantum theory pioneered by Louis de Broglie and David Bohm—offers an alternative mathematical formulation of quantum phenomena in terms of quantum trajectories. It sheds light on the limits and extensions of our present understanding of quantum mechanics toward other paradigms, such as relativity or cosmology.

Physics of Waves

Author: William C. Elmore
Publisher: Courier Corporation
ISBN: 0486140652
Format: PDF, Kindle
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Ideal as a classroom text or for individual study, this unique one-volume overview of classical wave theory covers wave phenomena of acoustics, optics, electromagnetic radiations, and more.

Quantum Trajectories

Author: Pratim Kumar Chattaraj
Publisher: CRC Press
ISBN: 1439825629
Format: PDF, ePub
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The application of quantum mechanics to many-particle systems has been an active area of research in recent years as researchers have looked for ways to tackle difficult problems in this area. The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area of quantum mechanics. Quantum Trajectories brings the expertise of an international panel of experts who focus on the epistemological significance of quantum mechanics through the quantum theory of motion. Emphasizing a classical interpretation of quantum mechanics as developed by de Bröglie and Bohm, this volume: Introduces the concept of the quantum theory of motion Explains the connection with conventional quantum mechanics Presents various numerical techniques generated from the Bohmian approach Describes the epistemological significance of quantum trajectories Provides an authoritative account of the foundations of quantum mechanics vis-à-vis that of the Bohmian mechanics The popularity of using the quantum trajectory as a computational tool has exploded over the last decade, finally bringing this methodology to the level of practical applications. Many of the experts in the field who have either developed the methodology or have improved upon it have contributed chapters to this volume, making it a state-of-the-art expression of the field as it exists today and providing insight into the future of this technology.

Quantum Mechanics for Pedestrians 2 Applications and Extensions

Author: Jochen Pade
Publisher: Springer Science & Business Media
ISBN: 3319008137
Format: PDF, ePub, Docs
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The two-volume textbook Quantum Mechanics for Pedestrians provides an introduction to the basics of nonrelativistic quantum mechanics. Originally written as a course for students of science education, the book addresses all those science students and others who are looking for a reasonably simple, fresh and modern introduction to the field. The basic principles of quantum mechanics are presented in the first volume. This second volume discusses applications and extensions to more complex problems. In addition to topics traditionally dealt with in quantum mechanics texts, such as symmetries or many-body problems, here also issues of current interest such as entanglement, Bell's inequalities, decoherence and various aspects of quantum information are treated in detail. Furthermore, questions of the basis of quantum mechanics and epistemological issues are discussed explicitly; these are relevant e.g. to the realism debate. A chapter on the interpretations of quantum mechanics completes this volume. The necessary mathematical tools are introduced step by step; in the appendix, the most relevant mathematics is compiled in compact form. More advanced topics such as the Lenz vector, Hardy's experiment and Shor's algorithm are treated in more detail in the appendix. As an essential aid to learning and teaching, 130 exercises are included, most of them with their solutions.

Principles of Quantum Computation and Information

Author: Giuliano Benenti
Publisher: World Scientific
ISBN: 9814482781
Format: PDF, ePub
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' Quantum computation and information is a new, rapidly developing interdisciplinary field. Therefore, it is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader a useful and not-too-heavy guide. It offers a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required. Volume I may be used as a textbook for a one-semester introductory course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science. Contents:Introduction to Classical ComputationIntroduction to Quantum MechanicsQuantum ComputationQuantum Communication Readership: Upper-level undergraduates and graduate students in physics, mathematics and computer science. Keywords:Quantum Computation;Quantum Information;Quantum Algorithms;Quantum Communication;Quantum Cryptography;Complex Systems;Dynamical Systems;Quantum Chaos;Nanoscience;Quantum OpticsReviews:“The book by Benenti, Casati and Strini is an excellent introduction to the fascinating field of quantum computation and information. The reader is gently introduced to this field starting from the basics in computation and quantum mechanics to the more advanced topics of quantum computation of dynamical systems. The book is written in a very clear way, accessible both to undergraduate and graduate students in physics, computer science and engineering.”Rosario Fazio Scuola Normale Superiore Pisa, Italy “The first volume of the present textbook aims at filling the gap between elementary introductory books and more advanced reference manuals. The choice of topics and the emphasis on concepts rather than mathematical technicalities makes it good choice for an introductory course of Quantum Information Theory for physicists or computer scientists with little background in this area. Of particular interest is the description of the links between quantum computation and quantum chaos, a research area in which the authors are leading experts, a topic rarely treated in introductory textbooks. The present volume is a welcomed addition to the existing choice of textbooks in quantum information theory and quantum computation.”Professor G Massimo Palma University of Milan, Italy “This book gives a clear and exhaustive introduction to quantum computation and quantum communication. Together with the second volume it covers all the main topics in the field of quantum information theory. It is suited for a wide audience, ranging from computer scientists to physicists and engineers. It is an effective self-contained textbook for an introductory course in quantum information theory and a precious tool for researchers who wish to approach the field.”Professor Chiara Macchiavello University of Pavia, Italy “The first volume of the two-volume edition is an introduction to the main concepts of quantum computation and information. The book offers a simple, clear and systematic treatment of qubits, quantum gates, various quantum algorithms and quantum communication. The chapters on classical information theory and quantum mechanics make the book easy to read. The book is recommended to undergraduate as well as graduate students in physics, mathematics and computer science. The large number of exercises is supplemented by solutions. The reader is encouraged for active work.”Professor Ioannis Antoniou Aristotle University of Thessaloniki, Greece “Besides giving an excellent introduction to the field it provides a unique perspective on the blending and cross-fertilization between the methods of quantum information and quantum chaos, both areas in which the authors are leading experts.”Marcos Saraceno Comision Nac. de Energia Atomica, Argentina “The authors have done a very good job, succeeding to present the main topics of this domain with remarkable concision and clarity.”Bertrand Georgeot CNRS/Universite Paul Sabatier, France “This book is, on the whole, well-written and readable. The material is presented concisely, and illustrated with simple examples and exercises … the material in the current book is much more compact and easily learned than the phonebook-sized compendium of Nielsen and Chuang. It could serve well as the text for an introductory course … It also contains numerous exercises, which mostly seem well thought out and appropriate to the material presented.”Mathematical Reviews “Reading this book one remarks from the very beginning that it is outstanding and well formulated with both mathematical and verbal respects … This book is didactically well organized and written in a clear language. It can be best recommended to people to whom it is addressed by the authors.”Zentralblatt MATH '

Quantum Physics Without Quantum Philosophy

Author: Detlef Dürr
Publisher: Springer Science & Business Media
ISBN: 364230690X
Format: PDF, Kindle
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It has often been claimed that without drastic conceptual innovations a genuine explanation of quantum interference effects and quantum randomness is impossible. This book concerns Bohmian mechanics, a simple particle theory that is a counterexample to such claims. The gentle introduction and other contributions collected here show how the phenomena of non-relativistic quantum mechanics, from Heisenberg's uncertainty principle to non-commuting observables, emerge from the Bohmian motion of particles, the natural particle motion associated with Schrödinger's equation. This book will be of value to all students and researchers in physics with an interest in the meaning of quantum theory as well as to philosophers of science.

The Undivided Universe

Author: David Bohm
Publisher: Routledge
ISBN: 1134807139
Format: PDF, Mobi
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First published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.