Applied Bohmian Mechanics

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Applied Bohmian Mechanics

Xavier Oriols Pladevall,Jordi Mompart
Applied Bohmian Mechanics Book PDF

Author : Xavier Oriols Pladevall,Jordi Mompart
Publisher : CRC Press
Page : 602 pages
File Size : 48,9 Mb
Release : 2012-06-04
Category : Science
ISBN : 9789814316392

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Applied Bohmian Mechanics by Xavier Oriols Pladevall,Jordi Mompart Pdf

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.

Applied Bohmian Mechanics

Xavier Oriols Pladevall,Jordi Mompart
Applied Bohmian Mechanics Book PDF

Author : Xavier Oriols Pladevall,Jordi Mompart
Publisher : CRC Press
Page : 701 pages
File Size : 52,5 Mb
Release : 2019-05-24
Category : Science
ISBN : 9781000650105

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Applied Bohmian Mechanics by Xavier Oriols Pladevall,Jordi Mompart Pdf

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.

Applied Bohmian Mechanics

Xavier Oriols Pladevall,Jordi Mompart
Applied Bohmian Mechanics Book PDF

Author : Xavier Oriols Pladevall,Jordi Mompart
Publisher : Jenny Stanford Publishing
Page : 674 pages
File Size : 40,6 Mb
Release : 2019-05-14
Category : Electronic
ISBN : 9814800104

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Applied Bohmian Mechanics by Xavier Oriols Pladevall,Jordi Mompart Pdf

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.

Bohmian Mechanics

Detlef Dürr,Stefan Teufel
Bohmian Mechanics Book PDF

Author : Detlef Dürr,Stefan Teufel
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 48,6 Mb
Release : 2009-04-30
Category : Science
ISBN : 9783540893448

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Bohmian Mechanics by Detlef Dürr,Stefan Teufel Pdf

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.

Bohmian Mechanics as the Foundation of Quantum Mechanics

Stefan Teufel,Detlef Da1/4rr,Detlef Dürr
Bohmian Mechanics as the Foundation of Quantum Mechanics Book PDF

Author : Stefan Teufel,Detlef Da1/4rr,Detlef Dürr
Publisher : Unknown
Page : 391 pages
File Size : 44,5 Mb
Release : 2009-01-01
Category : Science
ISBN : 1402094299

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Bohmian Mechanics as the Foundation of Quantum Mechanics by Stefan Teufel,Detlef Da1/4rr,Detlef Dürr Pdf

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.

Bohmian Mechanics and Quantum Theory: An Appraisal

J.T. Cushing,Arthur Fine,S. Goldstein
Bohmian Mechanics and Quantum Theory An Appraisal Book PDF

Author : J.T. Cushing,Arthur Fine,S. Goldstein
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 48,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9789401587150

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Bohmian Mechanics and Quantum Theory: An Appraisal by J.T. Cushing,Arthur Fine,S. Goldstein Pdf

We are often told that quantum phenomena demand radical revisions of our scientific world view and that no physical theory describing well defined objects, such as particles described by their positions, evolving in a well defined way, let alone deterministically, can account for such phenomena. The great majority of physicists continue to subscribe to this view, despite the fact that just such a deterministic theory, accounting for all of the phe nomena of nonrelativistic quantum mechanics, was proposed by David Bohm more than four decades ago and has arguably been around almost since the inception of quantum mechanics itself. Our purpose in asking colleagues to write the essays for this volume has not been to produce a Festschrift in honor of David Bohm (worthy an undertaking as that would have been) or to gather together a collection of papers simply stating uncritically Bohm's views on quantum mechanics. The central theme around which the essays in this volume are arranged is David Bohm's version of quantum mechanics. It has by now become fairly standard practice to refer to his theory as Bohmian mechanics and to the larger conceptual framework within which this is located as the causal quantum theory program. While it is true that one can have reservations about the appropriateness of these specific labels, both do elicit distinc tive images characteristic of the key concepts of these approaches and such terminology does serve effectively to contrast this class of theories with more standard formulations of quantum theory.

Applied Bohmian Mechanics

Xavier Oriols Pladevall,Jordi Mompart
Applied Bohmian Mechanics Book PDF

Author : Xavier Oriols Pladevall,Jordi Mompart
Publisher : CRC Press
Page : 361 pages
File Size : 50,9 Mb
Release : 2019-05-24
Category : Science
ISBN : 9781000650563

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Applied Bohmian Mechanics by Xavier Oriols Pladevall,Jordi Mompart Pdf

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.

Quantum Dynamics with Trajectories

Robert E. Wyatt
Quantum Dynamics with Trajectories Book PDF

Author : Robert E. Wyatt
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 45,5 Mb
Release : 2006-05-28
Category : Mathematics
ISBN : 9780387281452

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Quantum Dynamics with Trajectories by Robert E. Wyatt Pdf

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

Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

Antonio B. Nassar,Salvador Miret-Artés
Bohmian Mechanics Open Quantum Systems and Continuous Measurements Book PDF

Author : Antonio B. Nassar,Salvador Miret-Artés
Publisher : Springer
Page : 241 pages
File Size : 51,6 Mb
Release : 2017-03-14
Category : Science
ISBN : 9783319536538

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Bohmian Mechanics, Open Quantum Systems and Continuous Measurements by Antonio B. Nassar,Salvador Miret-Artés Pdf

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.

Emergent Quantum Mechanics

Jan Walleczek,Gerhard Grössing,Paavo Pylkkänen,Basil Hiley
Emergent Quantum Mechanics Book PDF

Author : Jan Walleczek,Gerhard Grössing,Paavo Pylkkänen,Basil Hiley
Publisher : MDPI
Page : 544 pages
File Size : 54,5 Mb
Release : 2019-04-02
Category : Science
ISBN : 9783038976165

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Emergent Quantum Mechanics by Jan Walleczek,Gerhard Grössing,Paavo Pylkkänen,Basil Hiley Pdf

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.

Understanding Quantum Mechanics

Detlef Dürr,Dustin Lazarovici
Understanding Quantum Mechanics Book PDF

Author : Detlef Dürr,Dustin Lazarovici
Publisher : Springer Nature
Page : 247 pages
File Size : 41,7 Mb
Release : 2020-03-16
Category : Science
ISBN : 9783030400682

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Understanding Quantum Mechanics by Detlef Dürr,Dustin Lazarovici Pdf

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?”

Quantum Trajectories

Pratim Kumar Chattaraj
Quantum Trajectories Book PDF

Author : Pratim Kumar Chattaraj
Publisher : CRC Press
Page : 429 pages
File Size : 51,6 Mb
Release : 2017-05-22
Category : Electronic
ISBN : 1138114731

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Quantum Trajectories by Pratim Kumar Chattaraj Pdf

The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area of quantum mechanics. This volume brings the expertise of an international panel of experts who focus on the epistemological significance of quantum mechanics through the quantum theory of motion. The book explains the connection with conventional quantum mechanics and presents various numerical techniques generated from the Bohmian approach. It also describes the epistemological significance of quantum trajectories and provides an authoritative account of the foundations of quantum mechanics vis-à-vis that of the Bohmian mechanics.

Foundations of Quantum Mechanics

Travis Norsen
Foundations of Quantum Mechanics Book PDF

Author : Travis Norsen
Publisher : Springer
Page : 310 pages
File Size : 45,5 Mb
Release : 2017-08-17
Category : Science
ISBN : 9783319658674

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Foundations of Quantum Mechanics by Travis Norsen Pdf

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.

The Undivided Universe

David Bohm,Basil J. Hiley
The Undivided Universe Book PDF

Author : David Bohm,Basil J. Hiley
Publisher : Routledge
Page : 467 pages
File Size : 51,9 Mb
Release : 2006-01-16
Category : Philosophy
ISBN : 9781134807130

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The Undivided Universe by David Bohm,Basil J. Hiley Pdf

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.

Quantum Social Science

Emmanuel Haven,Andrei Khrennikov
Quantum Social Science Book PDF

Author : Emmanuel Haven,Andrei Khrennikov
Publisher : Cambridge University Press
Page : 305 pages
File Size : 41,5 Mb
Release : 2013-01-17
Category : Science
ISBN : 9781139851497

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Quantum Social Science by Emmanuel Haven,Andrei Khrennikov Pdf

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.