Mathematical Foundations of Quantum Mechanics: New Edition (Princeton Landmarks in Mathematics and Physics, 53)

cf. [Grattan-Guinness 2005](https://isidore.co/calibre#panel=book_details&book_id=6521) pp. 882ff., where this work and [Dirac's famous QM work](https://isidore.co/calibre#panel=book_details&book_id=4186), too, are treated Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. In this new edition of this classic work, mathematical physicist Nicholas Wheeler has completely reset the book in TeX, making the text and equations far easier to read. He has also corrected a handful of typographic errors, revised some sentences for clarity and readability, provided an index for the first time, and added prefatory remarks drawn from the writings of L#65533;on Van Hove and Freeman Dyson. The result brings new life to an essential work in theoretical physics and mathematics. Cover 1 Title 4 Copyright 5 CONTENTS 6 Translator’s Preface 8 Preface to This New Edition 10 Foreword 12 Introduction 22 CHAPTER I Introductory Considerations 26 1. The Origin of the Transformation Theory 26 2. The Original Formulations of Quantum Mechanics 28 3. The Equivalence of the Two Theories: The Transformation Theory 34 4. The Equivalence of the Two Theories: Hilbert Space 42 CHAPTER II Abstract Hilbert Space 46 1. The Definition of Hilbert Space 46 2. The Geometry of Hilbert Space 53 3. Digression on the Conditions A-E 61 4. Closed Linear Manifolds 69 5. Operators in Hilbert Space 78 6. The Eigenvalue Problem 87 7. Continuation 90 8. Initial Considerations Concerning the Eigenvalue Problem 98 9. Digression on the Existence and Uniqueness of the Solutions of the Eigenvalue Problem 114 10. Commutative Operators 130 11. The Trace 135 CHAPTER III The Quantum Statistics 148 1. The Statistical Assertions of Quantum Mechanics 148 2. The Statistical Interpretation 155 3. Simultaneous Measurability and Measurability in General 157 4. Uncertainty Relations 169 5. Projections as Propositions 180 6. Radiation Theory 185 CHAPTER IV Deductive Development of the Theory 214 1. The Fundamental Basis of the Statistical Theory 214 2. Proof of the Statistical Formulas 226 3. Conclusions from Experiments 235 CHAPTER V General Considerations 248 1. Measurement and Reversibility 248 2. Thermodynamic Considerations 255 3. Reversibility and Equilibrium Problems 268 4. The Macroscopic Measurement 280 CHAPTER VI The Measuring Process 292 1. Formulation of the Problem 292 2. Composite Systems 295 3. Discussion of the Measuring Process 304 Name Index 310 Subject Index 312 Locations of Flagged Propositions 318 Articles Cited: Details 320 Locations of the Footnotes 324 Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics —a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. In this new edition of this classic work, mathematical physicist Nicholas Wheeler has completely reset the book in TeX, making the text and equations far easier to read. He has also corrected a handful of typographic errors, revised some sentences for clarity and readability, provided an index for the first time, and added prefatory remarks drawn from the writings of Léon Van Hove and Freeman Dyson. The result brings new life to an essential work in theoretical physics and mathematics. Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics —a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. This new edition of this classic work has been completely reset in TeX, making the text and equations far easier to read. The book has also seen the correction of a handful of typographic errors, revision of some sentences for clarity and readability, provision of an index for the first time, and prefatory remarks drawn from the writings of Léon Van Hove and Freeman Dyson have been added. The result brings new life to an essential work in theoretical physics and mathematics Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published 'Mathematical Foundations of Quantum Mechanics', a revolutionary work that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. This new edition of this classic work has been completely reset in TeX, making the text and equations far easier to read