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.

Format:

Book

Author/Creator:

Auletta, Gennaro.

Language:

English

Subjects (All):

Quantum theory.

Physics.

Physical Description:

1 online resource (1015 p.)

Edition:

Rev. ed.

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2000.

Language Note:

English

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 “

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

CHAPTER 12 GEOMETRIC PHASE

Notes:

Description based upon print version of record.

Description based on publisher supplied metadata and other sources.

Includes bibliographical references (p. 803-932) and indexes.

ISBN:

9789810248215

9810248210

OCLC:

862937321