The Structure And Interpretation Of Quantum Mechanics
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| Author | : R. I. G. Hughes |
| Publisher | : Harvard University Press |
| Total Pages | : 388 |
| Release | : 1989 |
| Genre | : Philosophy |
| ISBN | : 9780674843929 |
This important work provides an account of the philosophical foundations of quantum theory that should become a classic text for scientists and nonscientists alike. Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful. He goes on to show how the very suitability of Hilbert spaces for modeling the quantum world gives rise to deep problems of interpretation, and makes suggestions about how they can be overcome.
| Author | : Gerald Jay Sussman |
| Publisher | : MIT Press |
| Total Pages | : 580 |
| Release | : 2015-02-06 |
| Genre | : Science |
| ISBN | : 0262028964 |
The new edition of a classic text that concentrates on developing general methods for studying the behavior of classical systems, with extensive use of computation. We now know that there is much more to classical mechanics than previously suspected. Derivations of the equations of motion, the focus of traditional presentations of mechanics, are just the beginning. This innovative textbook, now in its second edition, concentrates on developing general methods for studying the behavior of classical systems, whether or not they have a symbolic solution. It focuses on the phenomenon of motion and makes extensive use of computer simulation in its explorations of the topic. It weaves recent discoveries in nonlinear dynamics throughout the text, rather than presenting them as an afterthought. Explorations of phenomena such as the transition to chaos, nonlinear resonances, and resonance overlap to help the student develop appropriate analytic tools for understanding. The book uses computation to constrain notation, to capture and formalize methods, and for simulation and symbolic analysis. The requirement that the computer be able to interpret any expression provides the student with strict and immediate feedback about whether an expression is correctly formulated. This second edition has been updated throughout, with revisions that reflect insights gained by the authors from using the text every year at MIT. In addition, because of substantial software improvements, this edition provides algebraic proofs of more generality than those in the previous edition; this improvement permeates the new edition.
| Author | : Gerard 't Hooft |
| Publisher | : Springer |
| Total Pages | : 296 |
| Release | : 2016-09-02 |
| Genre | : Science |
| ISBN | : 331941285X |
This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.
| Author | : Gennaro Auletta |
| Publisher | : World Scientific |
| Total Pages | : 1030 |
| Release | : 2001 |
| Genre | : Science |
| ISBN | : 9789810246143 |
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 ?Schrdinger 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.
| Author | : Alexander S. Holevo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 189 |
| Release | : 2001-06-20 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 3540420827 |
New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.
| Author | : Willis Eugene Lamb |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2001 |
| Genre | : Quantum theory |
| ISBN | : 9781589490055 |
A collection of the various papers and lectures of Professor Willis E. Lamb, Jr (who was awarded the Nobel Prize in Physics in 1955 for his precise measurement of what came to be called the Lamb Shift) on the fundamental, fascinating and fashionable subject of the interpretation of quantum mechanics. Professor Lamb began to bring his insights to this subject since he first started publishing his papers in the field in 1969. In a detailed editorial annotation on the Scientific Work of Willis E. Lamb, Jr (based on extensive conversations with Professor Lamb), Jagdish Mehra, a historian of modern physics, provides a survey of Professor Lamb's diverse contributions to the various fields of fundamental physics and the context in which they were made.
| Author | : David Wallace |
| Publisher | : OUP Oxford |
| Total Pages | : 547 |
| Release | : 2012-05-24 |
| Genre | : Philosophy |
| ISBN | : 0191057398 |
The Emergent Multiverse presents a striking new account of the 'many worlds' approach to quantum theory. The point of science, it is generally accepted, is to tell us how the world works and what it is like. But quantum theory seems to fail to do this: taken literally as a theory of the world, it seems to make crazy claims: particles are in two places at once; cats are alive and dead at the same time. So physicists and philosophers have often been led either to give up on the idea that quantum theory describes reality, or to modify or augment the theory. The Everett interpretation of quantum mechanics takes the apparent craziness seriously, and asks, 'what would it be like if particles really were in two places at once, if cats really were alive and dead at the same time'? The answer, it turns out, is that if the world were like that—if it were as quantum theory claims—it would be a world that, at the macroscopic level, was constantly branching into copies—hence the more sensationalist name for the Everett interpretation, the 'many worlds theory'. But really, the interpretation is not sensationalist at all: it simply takes quantum theory seriously, literally, as a description of the world. Once dismissed as absurd, it is now accepted by many physicists as the best way to make coherent sense of quantum theory. David Wallace offers a clear and up-to-date survey of work on the Everett interpretation in physics and in philosophy of science, and at the same time provides a self-contained and thoroughly modern account of it—an account which is accessible to readers who have previously studied quantum theory at undergraduate level, and which will shape the future direction of research by leading experts in the field.
| Author | : D. Aerts (ed.) |
| Publisher | : World Scientific |
| Total Pages | : 404 |
| Release | : 2002 |
| Genre | : Technology & Engineering |
| ISBN | : 9789810248475 |
During the last decade, scientists working in quantum theory have been engaging in promising new fields such as quantum computation and quantum information processing, and have also been reflecting on the possibilities of nonlinear behavior on the quantum level. These are challenging undertakings because (1) they will result in new solutions to important technical and practical problems that were unsolvable by the classical approaches (for example, quantum computers can calculate problems that are intractable if one uses classical computers); and (2) they open up new 'hard' problems of a fundamental nature that touch the foundation of quantum theory itself (for example, the contradiction between locality and nonlinearity and the interpretation of quantum computing as a universal process).In this book, one can distinguish two main streams of research to approach the just-mentioned problem field: (1) a theoretical structural part, which concentrates on the elaboration of a nonlinear quantum mechanics and the fundamentals of quantum computation; and (2) a theoretical experimental part, which focuses on the theoretical aspects of applications that arise from new technology and novel research perspectives such as quantum optics and quantum cryptography. Particular attention is also paid to the measurement problem, the classical limit and alternative interpretations (such as the hidden measurement approach).
| Author | : Carl F. von Weizsäcker |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 390 |
| Release | : 2007-01-15 |
| Genre | : Science |
| ISBN | : 1402052359 |
The book is a newly arranged and revised English version of "Aufbau der Physik" by Carl Friedrich von Weizsäcker. Some original chapters and sections have been deleted, and a new chapter about further insights and results of ur-theoretic research of the late 1980’s and 1990’s has been included. Carl Friedrich von Weizsäcker combines the perspectives of science, philosophy, religion and politics with a view towards the challenges as well as the responsibilities of our time.
| Author | : Ulrich Mohrhoff |
| Publisher | : World Scientific |
| Total Pages | : 501 |
| Release | : 2018-10-12 |
| Genre | : Science |
| ISBN | : 9813273712 |
'The authors should be recognised for their efforts to present a mathematically rigorous introduction to Quantum Mechanics (QM) in a form that has broad appeal; there are not many introductory QM texts that would cover, for example, decoherence. I think many educators would appreciate this book, especially those interested in courses that combine science and philosophy.'Contemporary PhysicsApart from providing a lucid introduction to the mathematical formalism and conceptual foundations of quantum mechanics, we explain why the laws of physics have the form that they do. In addition, we present a new and unique look at the quantum world, steering clear of two common errors: the error of the ψ-ontologists, who reify a calculational tool; and the error of the anti-realists, for whom physical theories are simply devices for expressing regularities among observations.The new edition of this acclaimed text adds around 200 pages on a variety of topics, such as how the founders sought to make sense of quantum mechanics, Kant's theory of science, QBism, Everettian quantum mechanics, de Broglie-Bohm theory, environmental decoherence, contextuality, nonlocality, and the paradox of subjectivity — the curious fact that the world seems to exist twice, once for us, in our minds, and once by itself, independently of us.
