von Neumann’s Theorem Revisited

Eftichios Bitsakis

Brian C. Hall

Vincenzo Capasso, Donato Fortunato, F. Selleri

Stephen J. Summers

J. Tharrats

The problem of the impossibility of cancelling the dispersion of all observable magnitudes is restudied by centralizing the question in the von Neumann theorem which is presented under a mcdified form. The von Neumann solution appears doubtful principally because the demonstration is made by projectors which do not represent observable magnitudes. (tr-auth)

Alexander I. Akhiezer, R.V. Polovin

CONTENTS 1. The Statistical Character of the Behavior of Microobjects 500 2. The Mathematical Foundations of Quantum Mechanics 501 3. The Measurement Process 502 4. The Hypothesis of Parameters 503 5. Interference of Probabilities and Hidden Parameters 505 6. Von Neumann's Proof of von Neumann's Theorem 507 7. A Proof of von Neumann's Theorem which does not use the Postulate of Additivity of Incompatible Observables 508 8. Classical and Quantum Logic 509 References 511