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The Resource Foundations and interpretation of quantum mechanics : in the light of a critical-historical analysis of the problems and of a synthesis of the results, Gennaro Auletta ; with a foreword by Giorgio Parisi

Foundations and interpretation of quantum mechanics : in the light of a critical-historical analysis of the problems and of a synthesis of the results, Gennaro Auletta ; with a foreword by Giorgio Parisi

Label
Foundations and interpretation of quantum mechanics : in the light of a critical-historical analysis of the problems and of a synthesis of the results
Title
Foundations and interpretation of quantum mechanics
Title remainder
in the light of a critical-historical analysis of the problems and of a synthesis of the results
Statement of responsibility
Gennaro Auletta ; with a foreword by Giorgio Parisi
Creator
Subject
Language
eng
Summary
The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years. There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of “
http://library.link/vocab/creatorName
Auletta, Gennaro
Dewey number
530.12
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Quantum theory
  • Physics
Label
Foundations and interpretation of quantum mechanics : in the light of a critical-historical analysis of the problems and of a synthesis of the results, Gennaro Auletta ; with a foreword by Giorgio Parisi
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 803-932) and indexes
Color
multicolored
Contents
  • Foreword; Contents; INTRODUCTION; Historical Premise; Aims and Character of the Book; Some Preliminary Epistemological Considerations; Presentation of the Content; Methodological Principles Followed in this Book; Technical Instructions; Acknowledgments; CHAPTER 1 SHORT REVIEW OF CLASSICAL CANONICAL FORMALISM; PART I BASIC FORMALISM AND EXTENSIONS OF QUANTUM MECHANICS; CHAPTER 2 WHERE THE PROBLEMS BEGIN; 2.1 The Quantum Postulate; 2.2 Physical Consequences of the Quantum Postulate; 2.3 Examination of the Quantum Postulate; CHAPTER 3 BASIC QUANTUM MECHANICS
  • 3.1 Antecedents and First Experimental Results3.2 First Attempts at an Independent Formalism; 3.3 Matrix Mechanics and Observables; 3.4 Wave Mechanics; 3.5 States Density Matrices and Projectors; 3.6 Unitary Transformations; 3.7 Distribution and Characteristic Functions; 3.8 Particles Statistics and Pauli Exclusion Principle; 3.9 Spin Theory; 3.10 Symmetries and Groups; 3.11 Scattering matrix and Propagators; CHAPTER 4 RELATIVISTIC QUANTUM MECHANICS; 4.1 Poincare Group; 4.2 Klein/Gordon and Dirac Equations; 4.3 Field Formalism; 4.4 Relativistic Scattering; 4.5 Localization
  • CHAPTER 5 QUANTUM OPTICS5.1 General Formalism; 5.2 Quantum Optics in Phase Space; 5.3 Q-Optics Experimental Apparatus and Methods; PART II THE COPENHAGEN INTERPRETATION; CHAPTER 6 FIRST INTERPRETATIONS OF QUANTUM MECHANICS; 6.1 Schrodinger's Interpretation; 6.2 Heisenberg's First Interpretation; 6.3 Some Observations Concerning the Structure of the Theory; 6.4 Born's Probabilistic Interpretation; 6.5 The Ignorance and Statistical Interpretations; 6.6 Discussion of the Ignorance and Statistical Interpretations; CHAPTER 7 UNCERTAINTY PRINCIPLE; 7.1 Heisenberg's Formulation
  • 7.2 Bohr's Interpretation of the Principle7.3 Heisenberg's Interpretation: The Microscope Experiment; 7.4 Statistical Formulations of the Uncertainty Principle; 7.5 Some Problems; 7.6 A New More General Formulation; CHAPTER 8 THE COMPLEMENTARITY PRINCIPLE; 8.1 Definition of Complementarity; 8.2 Complementarity Between Conjugate Observables; 8.3 Analysis of the Wave/Particle Dualism; 8.4 Complementarity Between Localization and Dynamic Laws; 8.5 Complementarity Between Separability and Phenomenon; 8.6 Conclusions on the Copenhagen Interpretation; PART III FIRST FOUNDATIONS OF QUANTUM MECHANICS
  • CHAPTER 9 QM AXIOMATICS9.1 Boolean Algebra and Some Other Technical Notions; 9.2 QM Axiomatic and Quantum Logic; 9.3 Other Approaches; 9.4 Concluding Remarks on the Axiomatic; 9.5 QM Logical Calculus; CHAPTER 10 HILBERT SPACES AND OPERATORS; 10.1 Is a Complex Hilbert Space Necessary?; 10.2 Time and Energy Operators; 10.3 Position Operator; 10.4 Angle Operator*; CHAPTER 11 CLASSICAL AND QUANTUM PROBABILITY: AN OVERVIEW; 11.1 Introduction to the Concept of Probability; 11.2 Classical Probability; 11.3 QM Probability; 11.4 Generalization to S-Dimensional Probabilities; 11.5 Gleason Theorem
Control code
ocm49569611
Dimensions
unknown
Extent
1 online resource (xxxii, 981 pages)
Form of item
online
Isbn
9789810248215
Note
eBooks on EBSCOhost
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)49569611
Label
Foundations and interpretation of quantum mechanics : in the light of a critical-historical analysis of the problems and of a synthesis of the results, Gennaro Auletta ; with a foreword by Giorgio Parisi
Publication
Bibliography note
Includes bibliographical references (pages 803-932) and indexes
Color
multicolored
Contents
  • Foreword; Contents; INTRODUCTION; Historical Premise; Aims and Character of the Book; Some Preliminary Epistemological Considerations; Presentation of the Content; Methodological Principles Followed in this Book; Technical Instructions; Acknowledgments; CHAPTER 1 SHORT REVIEW OF CLASSICAL CANONICAL FORMALISM; PART I BASIC FORMALISM AND EXTENSIONS OF QUANTUM MECHANICS; CHAPTER 2 WHERE THE PROBLEMS BEGIN; 2.1 The Quantum Postulate; 2.2 Physical Consequences of the Quantum Postulate; 2.3 Examination of the Quantum Postulate; CHAPTER 3 BASIC QUANTUM MECHANICS
  • 3.1 Antecedents and First Experimental Results3.2 First Attempts at an Independent Formalism; 3.3 Matrix Mechanics and Observables; 3.4 Wave Mechanics; 3.5 States Density Matrices and Projectors; 3.6 Unitary Transformations; 3.7 Distribution and Characteristic Functions; 3.8 Particles Statistics and Pauli Exclusion Principle; 3.9 Spin Theory; 3.10 Symmetries and Groups; 3.11 Scattering matrix and Propagators; CHAPTER 4 RELATIVISTIC QUANTUM MECHANICS; 4.1 Poincare Group; 4.2 Klein/Gordon and Dirac Equations; 4.3 Field Formalism; 4.4 Relativistic Scattering; 4.5 Localization
  • CHAPTER 5 QUANTUM OPTICS5.1 General Formalism; 5.2 Quantum Optics in Phase Space; 5.3 Q-Optics Experimental Apparatus and Methods; PART II THE COPENHAGEN INTERPRETATION; CHAPTER 6 FIRST INTERPRETATIONS OF QUANTUM MECHANICS; 6.1 Schrodinger's Interpretation; 6.2 Heisenberg's First Interpretation; 6.3 Some Observations Concerning the Structure of the Theory; 6.4 Born's Probabilistic Interpretation; 6.5 The Ignorance and Statistical Interpretations; 6.6 Discussion of the Ignorance and Statistical Interpretations; CHAPTER 7 UNCERTAINTY PRINCIPLE; 7.1 Heisenberg's Formulation
  • 7.2 Bohr's Interpretation of the Principle7.3 Heisenberg's Interpretation: The Microscope Experiment; 7.4 Statistical Formulations of the Uncertainty Principle; 7.5 Some Problems; 7.6 A New More General Formulation; CHAPTER 8 THE COMPLEMENTARITY PRINCIPLE; 8.1 Definition of Complementarity; 8.2 Complementarity Between Conjugate Observables; 8.3 Analysis of the Wave/Particle Dualism; 8.4 Complementarity Between Localization and Dynamic Laws; 8.5 Complementarity Between Separability and Phenomenon; 8.6 Conclusions on the Copenhagen Interpretation; PART III FIRST FOUNDATIONS OF QUANTUM MECHANICS
  • CHAPTER 9 QM AXIOMATICS9.1 Boolean Algebra and Some Other Technical Notions; 9.2 QM Axiomatic and Quantum Logic; 9.3 Other Approaches; 9.4 Concluding Remarks on the Axiomatic; 9.5 QM Logical Calculus; CHAPTER 10 HILBERT SPACES AND OPERATORS; 10.1 Is a Complex Hilbert Space Necessary?; 10.2 Time and Energy Operators; 10.3 Position Operator; 10.4 Angle Operator*; CHAPTER 11 CLASSICAL AND QUANTUM PROBABILITY: AN OVERVIEW; 11.1 Introduction to the Concept of Probability; 11.2 Classical Probability; 11.3 QM Probability; 11.4 Generalization to S-Dimensional Probabilities; 11.5 Gleason Theorem
Control code
ocm49569611
Dimensions
unknown
Extent
1 online resource (xxxii, 981 pages)
Form of item
online
Isbn
9789810248215
Note
eBooks on EBSCOhost
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)49569611

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