Foundations of Quantum Mechanics, an Empiricist Approach

Foundations of Quantum Mechanics, an Empiricist Approach PDF

Author: W.M. de Muynck

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 700

ISBN-13: 0306480476

DOWNLOAD EBOOK →

Taking a new perspective provided by a generalization of the mathematical formalism encompassing positive operator-valued measures, this book views old and new problems of the foundations of quantum mechanics. It demonstrates the crucial role of the generalized formalism in fundamental issues and practical applications.

Quantum Mechanics

Quantum Mechanics PDF

Author: Bas C. van Fraassen

Publisher: Clarendon Press

Published: 1991-09-26

Total Pages: 558

ISBN-13: 0191520047

DOWNLOAD EBOOK →

After introducing the empiricist point of view in philosophy of science, and the concepts and methods of the semantic approach to scientific theories, Professor van Fraassen discusses quantum theory in three stages. He first examines the question of whether and how empirical phenomena require a non-classical theory, and what sort of theory they require. He then discusses the mathematical foundations of quantum theory with special reference to developments in the modelling of interaction, composite systems, and measurement. Finally, the author broaches the main questions of interpretation. After offering a critique of earlier interpretations, he develops a new one - the modal interpretation - which attempts to stay close to the original Copenhagen ideas without implying a radical incompleteness in quantum theory. He gives special attention to the character of composite, many-body systems and especially to the peculiar character of assemblies of identical particles in quantum statistics.

Quantum Mechanics

Quantum Mechanics PDF

Author: Bas C. Van Fraassen

Publisher: Oxford University Press

Published: 1991

Total Pages: 562

ISBN-13: 9780198239802

DOWNLOAD EBOOK →

The author argues that quantum theory admits a plurality of interpretations, each aiding further understanding of the theory, but also advocating specifically the Copenhagen Variant of the Modal Interpretation. That variant is applied to topics like the Einstein-Podolsky-Rosen paradox and the problem of 'identical' particles.

Foundations of Quantum Mechanics

Foundations of Quantum Mechanics PDF

Author: Emily Adlam

Publisher: Cambridge University Press

Published: 2021-02-18

Total Pages: 84

ISBN-13: 1108881386

DOWNLOAD EBOOK →

Quantum mechanics is an extraordinarily successful scientific theory. But more than 100 years after it was first introduced, the interpretation of the theory remains controversial. This Element introduces some of the most puzzling questions at the foundations of quantum mechanics and provides an up-to-date and forward-looking survey of the most prominent ways in which physicists and philosophers of physics have attempted to resolve them. Topics covered include nonlocality, contextuality, the reality of the wavefunction and the measurement problem. The discussion is supplemented with descriptions of some of the most important mathematical results from recent work in quantum foundations, including Bell's theorem, the Kochen-Specker theorem and the PBR theorem.

Foundations of Quantum Mechanics

Foundations of Quantum Mechanics PDF

Author: Travis Norsen

Publisher: Springer

Published: 2017-08-17

Total Pages: 310

ISBN-13: 3319658670

DOWNLOAD EBOOK →

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.

Foundations Of Quantum Mechanics, The: Historical Analysis And Open Questions

Foundations Of Quantum Mechanics, The: Historical Analysis And Open Questions PDF

Author: Claudio Garola

Publisher: World Scientific

Published: 2000-05-11

Total Pages: 436

ISBN-13: 9814493384

DOWNLOAD EBOOK →

This volume provides a sample of the present research on the foundations of quantum mechanics and related topics by collecting the papers of the Italian scholars who attended the conference entitled “The Foundations of Quantum Mechanics — Historical Analysis and Open Questions” (Lecce, 1998). The perspective of the book is interdisciplinary, and hence philosophical, historical and technical papers are gathered together so as to allow the reader to compare different viewpoints and cultural approaches. Most of the papers confront, directly or indirectly, the objectivity problem, taking into account the positions of the founders of QM or more recent developments. More specifically, the technical papers in the book pay special attention to the interpretation of the experiments on Bell's inequalities and to decoherence theory, but topics on unsharp QM, the consistent-history approach, quantum probability and alternative theories are also discussed. Furthermore, a number of historical and philosophical papers are devoted to Planck's, Weyl's and Pauli's thought, but topics such as quantum ontology, predictivity of quantum laws, etc., are treated.

The Conceptual Foundations of Quantum Mechanics

The Conceptual Foundations of Quantum Mechanics PDF

Author: Jeffrey A. Barrett

Publisher: Oxford University Press, USA

Published: 2020-01-02

Total Pages: 268

ISBN-13: 0198844689

DOWNLOAD EBOOK →

"The book starts with a description of classical mechanics then discusses the quantum phenomena that require us to give up our commonsense classical intuitions. We consider the physical and conceptual arguments that led to the standard von Neumann-Dirac formulation of quantum mechanics and how the standard theory explains quantum phenomena. This includes a discussion of how the theory's two dynamical laws work with the standard interpretation of states to explain determinate measurement records, quantum statistics, interference effects, entanglement, decoherence, and quantum nonlocality. A careful understanding of how the standard theory works ultimately leads to the quantum measurement problem. We consider how the measurement problem threatens the logical consistency of the standard theory then turn to a discussion of the main proposals for resolving it. This includes collapse formulations of quantum mechanics like Wigner's extension of the standard theory and the GRW approach and no-collapse formulations like pure wave mechanics, the various many-worlds theories, and Bohmian mechanics. In discussing alternative formulations of quantum mechanics we pay particular attention to the explanatory role played by each theory's empirical ontology and associated metaphysical commitments and the conceptual trade-offs between theoretical options"--

Foundations of Quantum Mechanics

Foundations of Quantum Mechanics PDF

Author: Roderich Tumulka

Publisher: Springer Nature

Published: 2022-11-22

Total Pages: 478

ISBN-13: 3031095480

DOWNLOAD EBOOK →

This book introduces and critically appraises the main proposals for how to understand quantum mechanics, namely the Copenhagen interpretation, spontaneous collapse, Bohmian mechanics, many-worlds, and others. The author makes clear what are the crucial problems, such as the measurement problem, related to the foundations of quantum mechanics and explains the key arguments like the Einstein-Podolsky-Rosen argument and Bell’s proof of nonlocality. He discusses and clarifies numerous topics that have puzzled the founding fathers of quantum mechanics and present-day students alike, such as the possibility of hidden variables, the collapse of the wave function, time-of-arrival measurements, explanations of the symmetrization postulate for identical particles, or the nature of spin. Several chapters are devoted to extending the different approaches to relativistic space-time and quantum field theory. The book is self-contained and is intended for graduate students and researchers who want to step into the fundamental aspects of quantum physics. Given its clarity, it is accessible also to advanced undergraduates and contains many exercises and examples to master the subject.

The Theoretical Foundations of Quantum Mechanics

The Theoretical Foundations of Quantum Mechanics PDF

Author: Belal E. Baaquie

Publisher: Springer Science & Business Media

Published: 2013-01-26

Total Pages: 274

ISBN-13: 146146224X

DOWNLOAD EBOOK →

The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.