The Logic of Quantum Mechanics: Volume 15

Enrico G. Beltrametti, Gianni Cassinelli, Gian-Carlo Rota

• Publisher: Cambridge University Press
• Year: 2010
• ISBN:
  9781107266155
• Topic: Matemáticas
• Subtopic: Lógica en matemáticas

Originally published in 1981, this book forms volume 15 of the Encyclopedia of Mathematics and its Applications. The text provides a clear and thorough treatment of its subject, adhering to a clean exposition of the mathematical content of serious formulations of rational physical alternatives of quantum theory as elaborated in the influential works of the period, to which the authors made a significant contribution. The treatment falls into three distinct, logical parts: in the first part, the modern version of accumulated wisdom is presented, avoiding as far as possible the traditional language of classical physics for its interpretational character; in the second part, the individual structural elements for the logical content of the theory are laid out; in part three, the results of section two are used to reconstruct the usual Hilbert space formulation of quantum mechanics in a novel way.

Table of contents

• Cover
• Half Title
• Series Page
• Title
• Copyright
• Dedication
• Contents
• Editor's Statement
• Foreword
• PREFACE
• PART I Hilbert-Space Quantum Mechanics
• PART II Basic Structures in the Description of Quantum Systems
• PART III Reconstruction of Hilbert-Space Quantum Mechanics
• APPENDIX A Trace-Class Operators
• APPENDIX B The Spectral Theorem
• APPENDIX C Proofs for Chapter 11
• Subject Index