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Applied Bohmian Mechanics
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Book Synopsis Applied Bohmian Mechanics by : Xavier Oriols Pladevall
Download or read book Applied Bohmian Mechanics written by Xavier Oriols Pladevall and published by CRC Press. This book was released on 2019-05-24 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 zigzag route, full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative pathways. Some of the explored routes were successful in providing new mathematical formalisms capable of predicting experiments at the atomic scale. However, even such successful routes were painful enough, so that relevant scientists like Albert Einstein and Erwin Schrödinger decided not to support them. In this book, the authors demonstrate the huge practical utility of another of these routes in explaining quantum phenomena in many different 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. Novel computational tools to explore physical scenarios that are currently computationally inaccessible, such as many-particle solutions of the Schrödinger equation, can be developed from it.
Book Synopsis Applied Bohmian Mechanics by : Xavier Oriols
Download or read book Applied Bohmian Mechanics written by Xavier Oriols and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 zigzag route, full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative pathways. Some of the explored routes were successful in providing new mathematical formalisms capable of predicting experiments at the atomic scale. However, even such successful routes were painful enough, so that relevant scientists like Albert Einstein and Erwin Schrdinger decided not to support them. In this book, the authors demonstrate the huge practical utility of another of these routes in explaining quantum phenomena in many different 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. Novel computational tools to explore physical scenarios that are currently computationally inaccessible, such as many-particle solutions of the Schrdinger equation, can be developed from it.
Download or read book Bohmian Mechanics written by Detlef Dürr and published by Springer Science & Business Media. This book was released on 2009-04-30 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bohmian Mechanics was formulated in 1952 by David Bohm as a complete theory of quantum phenomena based on a particle picture. It was promoted some decades later by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. This book provides a systematic introduction to Bohmian mechanics and to the mathematical abstractions of quantum mechanics, which range from the self-adjointness of the Schrödinger operator to scattering theory. It explains how the quantum formalism emerges when Boltzmann's ideas about statistical mechanics are applied to Bohmian mechanics. The book is self-contained, mathematically rigorous and an ideal starting point for a fundamental approach to quantum mechanics. It will appeal to students and newcomers to the field, as well as to established scientists seeking a clear exposition of the theory.
Book Synopsis Applied Bohmian Mechanics by : Xavier Oriols Pladevall
Download or read book Applied Bohmian Mechanics written by Xavier Oriols Pladevall and published by CRC Press. This book was released on 2012-06-04 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Bohmian Mechanics as the Foundation of Quantum Mechanics by : Stefan Teufel
Download or read book Bohmian Mechanics as the Foundation of Quantum Mechanics written by Stefan Teufel and published by . This book was released on 2009-01-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bohmian Mechanics was found 1952 by David Bohm as an ontological theory of quantum phenomena. It had been revived in the second half of the last century by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. The theory is about the motion of point particles, the statistical analysis of which, yields the formalism of quantum mechanics in terms of Hilbert spaces, self-adjoint operator-observables, and projection and positive operator valued measures. Tunneling times, arrival times, and first exit times are easily described within Bohmian mechanics. The book explains how Boltzmann 's probabilistic reasoning in statistical mechanics when applied to Bohmian mechanics leads to a rational account of quantum mechanics and its mathematical abstractions. It provides the insight and the mathematical tools to establish the formalism of quantum theory, including scattering theory, as the statistical macroscopic description of Bohmian mechanics. It reviews the essentials of classical physical theories relevant to the probabilistic reasoning and introduces Bohmian mechanics from various points of views. It provides rational perspectives on identical particles (bosons and fermions), the classical limit, quantum equilibrium , uncertainty relation and quantum observables. The book is self contained, it develops carefully the insight for the need of the mathematics of quantum mechanics, which is carried out with full mathematical rigor.
Book Synopsis Quantum Dynamics with Trajectories by : Robert E. Wyatt
Download or read book Quantum Dynamics with Trajectories written by Robert E. Wyatt and published by Springer Science & Business Media. This book was released on 2006-05-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers
Book Synopsis Quantum Chemistry and Dynamics of Excited States by : Leticia González
Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2021-02-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.
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.
Book Synopsis Understanding Quantum Mechanics by : Detlef Dürr
Download or read book Understanding Quantum Mechanics written by Detlef Dürr and published by Springer Nature. This book was released on 2020-03-16 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the physical and mathematical foundations of modern quantum mechanics and three realistic quantum theories that John Stuart Bell called "theories without observers" because they do not merely speak about measurements but develop an objective picture of the physical world. These are Bohmian mechanics, the GRW collapse theory, and the Many Worlds theory. The book is ideal to accompany or supplement a lecture course on quantum mechanics, but also suited for self-study, particularly for those who have completed such a course but are left puzzled by the question: "What does the mathematical formalism, which I have so laboriously learned and applied, actually tell us about nature?”
Book Synopsis Foundations of Quantum Mechanics by : Travis Norsen
Download or read book Foundations of Quantum Mechanics written by Travis Norsen and published by Springer. This book was released on 2017-08-17 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.
Book Synopsis Protective Measurement and Quantum Reality by : Shan Gao
Download or read book Protective Measurement and Quantum Reality written by Shan Gao and published by Cambridge University Press. This book was released on 2014 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from two of the original discoverers of protective measurement, this book investigates its broad applications and deep implications. Addressing both physical and philosophical aspects, this is a valuable resource for graduate students and researchers interested in the conceptual foundations of quantum mechanics.
Book Synopsis Principles Of Newtonian And Quantum Mechanics, The: The Need For Planck's Constant, H (Second Edition) by : Maurice A De Gosson
Download or read book Principles Of Newtonian And Quantum Mechanics, The: The Need For Planck's Constant, H (Second Edition) written by Maurice A De Gosson and published by World Scientific. This book was released on 2016-11-10 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed in detail. Phase space quantization is achieved using the 'principle of the symplectic camel', which is a deep topological property of Hamiltonian flows. We introduce the notion of 'quantum blob', which can be viewed as the fundamental phase space unit. The mathematical tools developed in this book are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of the 'metatron' is introduced, in connection with the Bohmian theory of motion. The short-time behavior of the propagator is studied and applied to the quantum Zeno effect.
Book Synopsis Quantum Trajectories by : Pratim Kumar Chattaraj
Download or read book Quantum Trajectories written by Pratim Kumar Chattaraj and published by CRC Press. This book was released on 2016-04-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 o
Book Synopsis Quantum Social Science by : Emmanuel Haven
Download or read book Quantum Social Science written by Emmanuel Haven and published by Cambridge University Press. This book was released on 2013-01-17 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by world experts in the foundations of quantum mechanics and its applications to social science, this book shows how elementary quantum mechanical principles can be applied to decision-making paradoxes in psychology and used in modelling information in finance and economics. The book starts with a thorough overview of some of the salient differences between classical, statistical and quantum mechanics. It presents arguments on why quantum mechanics can be applied outside of physics and defines quantum social science. The issue of the existence of quantum probabilistic effects in psychology, economics and finance is addressed and basic questions and answers are provided. Aimed at researchers in economics and psychology, as well as physics, basic mathematical preliminaries and elementary concepts from quantum mechanics are defined in a self-contained way.
Book Synopsis Bohmian Mechanics, Open Quantum Systems and Continuous Measurements by : Antonio B. Nassar
Download or read book Bohmian Mechanics, Open Quantum Systems and Continuous Measurements written by Antonio B. Nassar and published by Springer. This book was released on 2017-03-14 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.
Book Synopsis Scientific Realism and the Quantum by : Steven French
Download or read book Scientific Realism and the Quantum written by Steven French and published by Oxford University Press. This book was released on 2020-02-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory is widely regarded as one of the most successful theories in the history of science. It explains a hugely diverse array of phenomena and is a natural candidate for our best representation of the world at the level of 'fundamental' physics. But how can the world be the way quantum theory says it is? It is famously unclear what the world is like according to quantum physics, which presents a serious problem for the scientific realist who is committed to regarding our best theories as more or less true. The present volume canvasses a variety of responses to this problem, from restricting or revising realism in different ways to exploring entirely new directions in the lively debate surrounding realist interpretations of quantum physics. Some urge us to focus on new formulations of the theory itself, while others examine the status of scientific realism in the further context of quantum field theory. Each chapter is written by a renowned specialist in the field and is aimed at graduate students and researchers in both physics and the philosophy of science. Together they offer a range of illuminating new perspectives on this fundamental debate and exemplify the fruitful interaction between physics and philosophy.
Book Synopsis The Undivided Universe by : David Bohm
Download or read book The Undivided Universe written by David Bohm and published by Routledge. This book was released on 2006-01-16 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1995. Bohm, one of the foremost scientific thinkers of our time, and Hiley present a completely original approach to quantum theory which will alter our understanding of the world and reveal that a century of modern physics needs to be reconsidered.
