"Reviews of Mode Physics", vol.42, №4, October 1970, 24 p. The
statistical interpretation of quantum theory is formulated for the
purpose of providing a sound interpretation using a minimum of
assumptions. Several arguments are advanced in favor of considering
the quantum state description to apply only to an ensemble of
similarily prepared systems, rather than supposing, as is often
done, that it exhaustively represents an individual physical
system. Most of the problems associated with the quantum theory of
measurement are artifacts of the attempt to maintain the latter
interpretation. The introduction of hidden variables to determine
the outcome of individual events is fully compatible with the
statistical predictions of quantum theory. However, a theorem due
to Bell seems to require that any such hidden-variable theory which
reproduces all of quantum mechanics exactly (i.e. , not merely in
some limiting case) must possess a rather pathological character
with respect to correlated, but spacially separated, systems.
CONTENTS
1. Introduction
1.0 Preface and Outline
1.1 Mathematical Formalism of Quantum Theory
1.2 Correspondence Rules
1.3 Statistical Interpretation
2. The Theorem of Einstein, Podolsky, and Rosen
2.1 A Thought Experiment and the Theorem
2.2 Discussion of the EPR Theorem
3. The Uncertainty Principle
3.1 Derivation
3.2 Relation to Experiments
3.3 Angular and Energy-Time Relations
4. The Theory of Measurement
4.1 Analysis of the Measurement Process
4.2 The Difficulties of the "Orthodox" Interpretation
4.3 Other Approaches to the Problem of Measurement
4.4 Conclusion—Theory of Measurement
5. Joint Probability Distributions
6. Hidden Variables
6.1 Von Neumann's Theorem
6.2 Bell's Rebuttal
6.3 Bell's Theorem
6.4 Suggested Experiments
7. Concluding Remarks
References
CONTENTS
1. Introduction
1.0 Preface and Outline
1.1 Mathematical Formalism of Quantum Theory
1.2 Correspondence Rules
1.3 Statistical Interpretation
2. The Theorem of Einstein, Podolsky, and Rosen
2.1 A Thought Experiment and the Theorem
2.2 Discussion of the EPR Theorem
3. The Uncertainty Principle
3.1 Derivation
3.2 Relation to Experiments
3.3 Angular and Energy-Time Relations
4. The Theory of Measurement
4.1 Analysis of the Measurement Process
4.2 The Difficulties of the "Orthodox" Interpretation
4.3 Other Approaches to the Problem of Measurement
4.4 Conclusion—Theory of Measurement
5. Joint Probability Distributions
6. Hidden Variables
6.1 Von Neumann's Theorem
6.2 Bell's Rebuttal
6.3 Bell's Theorem
6.4 Suggested Experiments
7. Concluding Remarks
References