John von Neumann and the Foundations of Quantum Physics

John von Neumann and the Foundations of Quantum Physics

Author: Miklós Rédei

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 360

ISBN-13: 9401720126

DOWNLOAD EBOOK

John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, the Second World War. There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. Von Neumann's theory of measurement and his critique of hidden variables became the touchstone of most debates in the foundations of quantum mechanics. Today, his name also figures most prominently in the mathematically rigorous branches of contemporary quantum mechanics of large systems and quantum field theory. And finally - as one of his last lectures, published in this volume for the first time, shows - he considered the relation of quantum logic and quantum mechanical probability as his most important problem for the second half of the twentieth century. The present volume embraces both historical and systematic analyses of his methodology of mathematical physics, and of the various aspects of his work in the foundations of quantum physics, such as theory of measurement, quantum logic, and quantum mechanical entropy. The volume is rounded off by previously unpublished letters and lectures documenting von Neumann's thinking about quantum theory after his 1932 Mathematical Foundations of Quantum Mechanics. The general part of the Yearbook contains papers emerging from the Institute's annual lecture series and reviews of important publications of philosophy of science and its history.


Mathematical Foundations of Quantum Mechanics

Mathematical Foundations of Quantum Mechanics

Author: John von Neumann

Publisher: Princeton University Press

Published: 1955

Total Pages: 462

ISBN-13: 9780691028934

DOWNLOAD EBOOK

A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books


John S. Bell on the Foundations of Quantum Mechanics

John S. Bell on the Foundations of Quantum Mechanics

Author: J. S. Bell

Publisher: World Scientific

Published: 2001

Total Pages: 252

ISBN-13: 9789810246884

DOWNLOAD EBOOK

This book is the most complete collection of John S Bell's research papers, review articles and lecture notes on the foundations of quantum mechanics. Some of this material has hitherto been difficult to access. The book also appears in a paperback edition, aimed at students and young researchers.This volume will be very useful to researchers in the foundations and applications of quantum mechanics.


Discrete Quantum Mechanics

Discrete Quantum Mechanics

Author: H. Thomas Williams

Publisher: Morgan & Claypool Publishers

Published: 2015-12-01

Total Pages: 137

ISBN-13: 1681741253

DOWNLOAD EBOOK

After a quarter century of discoveries that rattled the foundations of classical mechanics and electrodynamics, the year 1926 saw the publication of two works intended to provide a theoretical structure to support new quantum explanations of the subatomic world. Heisenberg's matrix mechanics and Schrodinger’s wave mechanics provided compatible but mathematically disparate ways of unifying the discoveries of Planck, Einstein, Bohr and many others. Efforts began immediately to prove the equivalence of these two structures, culminated successfully by John von Neumann’s 1932 volume "Mathematical Foundations of Quantum Mechanics." This forms the springboard for the current effort. We begin with a presentation of a minimal set of von Neumann postulates while introducing language and notation to facilitate subsequent discussion of quantum calculations based in finite dimensional Hilbert spaces. Chapters which follow address two-state quantum systems (with spin one-half as the primary example), entanglement of multiple two-state systems, quantum angular momentum theory and quantum approaches to statistical mechanics. A concluding chapter gives an overview of issues associated with quantum mechanics in continuous infinite-dimensional Hilbert spaces.


Foundations of Quantum Mechanics

Foundations of Quantum Mechanics

Author: Travis Norsen

Publisher: Springer

Published: 2017-08-17

Total Pages: 316

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.


Linear Operators for Quantum Mechanics

Linear Operators for Quantum Mechanics

Author: Thomas F. Jordan

Publisher: Courier Corporation

Published: 2012-09-20

Total Pages: 162

ISBN-13: 0486140547

DOWNLOAD EBOOK

Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.


Quantum Relativity

Quantum Relativity

Author: David R. Finkelstein

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 584

ISBN-13: 3642609368

DOWNLOAD EBOOK

Over the past years the author has developed a quantum language going beyond the concepts used by Bohr and Heisenberg. The simple formal algebraic language is designed to be consistent with quantum theory. It differs from natural languages in its epistemology, modal structure, logical connections, and copulatives. Starting from ideas of John von Neumann and in part also as a response to his fundamental work, the author bases his approach on what one really observes when studying quantum processes. This way the new language can be seen as a clue to a deeper understanding of the concepts of quantum physics, at the same time avoiding those paradoxes which arise when using natural languages. The work is organized didactically: The reader learns in fairly concrete form about the language and its structure as well as about its use for physics.


The Neumann Compendium

The Neumann Compendium

Author: Murray Muraskin

Publisher: World Scientific

Published: 1995-06-30

Total Pages: 760

ISBN-13: 9814500682

DOWNLOAD EBOOK

After three decades since the first nearly complete edition of John von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of his continuous influence.The results receiving the 1994 Nobel Prizes in economy deeply rooted in Neumann's game theory are only minor traces of his exceptionally broad spectrum of creativity and stimulation.The book is organized by the specific subjects-quantum mechanics, ergodic theory, operator algebra, hydrodynamics, economics, computers, science and society. In addition, one paper which was written in German will be translated and published in English for the first time.The sections are introduced by short explanatory notes with an emphasis on recent developments based on von Neumann's contributions. An overall picture is provided by Ulam's, one of his most intimate partners in thinking, 1958 memorial lecture. Facsimilae and translations of some of his personal letters and a newly completed bibliography based on von Neumann's own careful compilation are added.


Information Theory and Quantum Physics

Information Theory and Quantum Physics

Author: Herbert S. Green

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 248

ISBN-13: 364257162X

DOWNLOAD EBOOK

In this highly readable book, H.S. Green, a former student of Max Born and well known as an author in physics and in the philosophy of science, presents a timely analysis of theoretical physics and related fundamental problems.


Mathematical Foundations of Quantum Mechanics

Mathematical Foundations of Quantum Mechanics

Author: George W. Mackey

Publisher: Courier Corporation

Published: 2013-12-31

Total Pages: 162

ISBN-13: 0486154475

DOWNLOAD EBOOK

This graduate-level text introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.