Mathematical Foundations of Quantum Theory
eBook - ePub

Mathematical Foundations of Quantum Theory

  1. 382 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematical Foundations of Quantum Theory

About this book

Mathematical Foundations of Quantum Theory is a collection of papers presented at the 1977 conference on the Mathematical Foundations of Quantum Theory, held in New Orleans. The contributors present their topics from a wide variety of backgrounds and specialization, but all shared a common interest in answering quantum issues. Organized into 20 chapters, this book's opening chapters establish a sound mathematical basis for quantum theory and a mode of observation in the double slit experiment. This book then describes the Lorentz particle system and other mathematical structures with which fundamental quantum theory must deal, and then some unsolved problems in the quantum logic approach to the foundations of quantum mechanics are considered. Considerable chapters cover topics on manuals and logics for quantum mechanics. This book also examines the problems in quantum logic, and then presents examples of their interpretation and relevance to nonclassical logic and statistics. The accommodation of conventional Fermi-Dirac and Bose-Einstein statistics in quantum mechanics or quantum field theory is illustrated. The final chapters of the book present a system of axioms for nonrelativistic quantum mechanics, with particular emphasis on the role of density operators as states. Specific connections of this theory with other formulations of quantum theory are also considered. These chapters also deal with the determination of the state of an elementary quantum mechanical system by the associated position and momentum distribution. This book is of value to physicists, mathematicians, and researchers who are interested in quantum theory.

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Yes, you can access Mathematical Foundations of Quantum Theory by A.R. Marlow in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Energy. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2012
Print ISBN
9780124732506
eBook ISBN
9780323141185
Topic
Physical Sciences
Subtopic
Energy

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. LIST OF CONTRIBUTORS
  6. PREFACE
  7. Chapter 1: THE MATHEMATICAL FOUNDATIONS OF QUANTUM THEORY
  8. Chapter 2: The “Past” and the “Delayed-Choice” Double-Slit Experiment
  9. Chapter 3: THE LORENTZ PARTICLES: A NEW MODEL FOR THE 1/2-SPIN PARTICLE AND THE HYDROGEN ATOM
  10. Chapter 4: ORTHOMODULAR STRUCTURES AND PHYSICAL THEORY
  11. Chapter 5: ANOTHER NONSTANDARD QUANTUM LOGIC (AND HOW I FOUND IT)
  12. Chapter 6: SOME UNSOLVED PROBLEMS IN QUANTUM LOGICS
  13. Chapter 7: MANUALS, MORPHISMS AND QUANTUM MECHANICS
  14. Chapter 8: LIMITS OF MANUALS AND LOGICS
  15. Chapter 9: THE GEOMETRY OF THE STATE SPACE
  16. Chapter 10: SPIN MANUALS: EMPIRICAL LOGIC TALKS QUANTUM MECHANICS
  17. Chapter 11: THE STATE OF THE PENTAGON: A NONCLASSICAL EXAMPLE
  18. Chapter 12: THE NIKODYM-HAHN-VITALE-SAKS THEOREM FOR STATES ON A QUANTUM LOGIC
  19. Chapter 13: ON GEOMETRIC QUANTIZATION OF CLASSICAL SYSTEMS
  20. Chapter 14: MEASURES WITH MINIMUM UNCERTAINTY ON NON-COMMUTATIVE ALGEBRAS WITH APPLICATION TO MEASUREMENT THEORY IN QUANTUM MECHANICS
  21. Chapter 15: DUALITY FOR C*-ALGEBRAS
  22. Chapter 16: GEOMETRODYNAMICS AS FOUNDATION OF PHYSICS
  23. Chapter 17: SPIN AND STATISTICS OF ELEMENTARY PARTICLES
  24. Chapter 18: QUANTUM MECHANICS WITH DENSITY OPERATORS
  25. Chapter 19: PURE STATES, MIXTURES AND COMPOUNDS
  26. Chapter 20: POSITION AND MOMENTUM DISTRIBUTIONS DO NOT DETERMINE THE QUANTUM MECHANICAL STATE