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Neumann, John von. Mathematical foundations of quantum mechanics / by John von Neumann ; translated from the German by Robert T. Beyer ; edited by Nicholas A. Wheeler. — New edition. — 1 online resource. — <URL:http://elib.fa.ru/ebsco/1629183.pdf>.

Record create date: 2/1/2018

Subject: MATHEMATICS / General; Matrix mechanics.; SCIENCE / Energy.; SCIENCE / Mechanics / General.; SCIENCE / Physics / General.; Matrix mechanics

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Table of Contents

  • Cover
  • Title
  • Copyright
  • CONTENTS
  • Translator’s Preface
  • Preface to This New Edition
  • Foreword
  • Introduction
  • CHAPTER I Introductory Considerations
    • 1. The Origin of the Transformation Theory
    • 2. The Original Formulations of Quantum Mechanics
    • 3. The Equivalence of the Two Theories: The Transformation Theory
    • 4. The Equivalence of the Two Theories: Hilbert Space
  • CHAPTER II Abstract Hilbert Space
    • 1. The Definition of Hilbert Space
    • 2. The Geometry of Hilbert Space
    • 3. Digression on the Conditions A-E
    • 4. Closed Linear Manifolds
    • 5. Operators in Hilbert Space
    • 6. The Eigenvalue Problem
    • 7. Continuation
    • 8. Initial Considerations Concerning the Eigenvalue Problem
    • 9. Digression on the Existence and Uniqueness of the Solutions of the Eigenvalue Problem
    • 10. Commutative Operators
    • 11. The Trace
  • CHAPTER III The Quantum Statistics
    • 1. The Statistical Assertions of Quantum Mechanics
    • 2. The Statistical Interpretation
    • 3. Simultaneous Measurability and Measurability in General
    • 4. Uncertainty Relations
    • 5. Projections as Propositions
    • 6. Radiation Theory
  • CHAPTER IV Deductive Development of the Theory
    • 1. The Fundamental Basis of the Statistical Theory
    • 2. Proof of the Statistical Formulas
    • 3. Conclusions from Experiments
  • CHAPTER V General Considerations
    • 1. Measurement and Reversibility
    • 2. Thermodynamic Considerations
    • 3. Reversibility and Equilibrium Problems
    • 4. The Macroscopic Measurement
  • CHAPTER VI The Measuring Process
    • 1. Formulation of the Problem
    • 2. Composite Systems
    • 3. Discussion of the Measuring Process
  • Name Index
  • Subject Index
  • Locations of Flagged Propositions
  • Articles Cited: Details
  • Locations of the Footnotes

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