Statistics in Science pp 119-147 | Cite as

# Quantum Probability and The Foundations of Quantum Theory

Chapter

## Abstract

The point of view advocated, in the last ten years, by quantum probability about the foundations of quantum mechanics, is based on the investigation of the mathematical consequences of a deep and elementary idea developed by the founding fathers of quantum mechanics and accepted nowadays as a truism by most physicists, namely: *one should be careful when applying the rules derived from the experience of macroscopic physics to experiments which are mutually incompatible in the sense of quantum mechanics*.

## Keywords

Quantum Theory Unitary Evolution Selfadjoint Operator Quantum Model Superposition State
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Preview

Unable to display preview. Download preview PDF.

## Bibliography

- [1]Accardi, L. 1987. ’Foundations of Quantum Mechanics: A Quantum Probabilistic Approach
^{’}. In*Quantum Paradoxes*, ed by G. Tarozzi and A. van der Merwe. Dordrecht: Kluwer Acad. Publ.Google Scholar - [2]Accardi, L. and Fedullo, A. 1982. ’On the Statistical Meaning of Complex Numbers in Quantum Theory:
*Lettere al Nuovo Cimento***34**161–172.MathSciNetCrossRefGoogle Scholar - [3]Accardi, L. 1989. ‘The Axioms of Probability Theory’. Conference given at the Erice school on Statistics and Probability. E. Regazzini (ed.).Google Scholar
- [4]Accardi L. (1984). ‘The Probabilistic Roots of the Quantum Mechanical Paradoxes’. Diner et al. (eds) Dordrecht, Kluwer Acad. Pubi.Google Scholar
- [5]van den Berg H., Hoekzema D., Radder H. ‘Accardi on Quantum Theory and the “fifth axiom” of Probability’.
*Philosophy of Science***57**(1990) 149–157.MathSciNetCrossRefGoogle Scholar - [6]Nelson E. ’The Locality Problem in Quantum Mechanics’ In:
*New techniques and ideas Quantum Measurement Theory*. Preprint January 1986.Google Scholar

## Copyright information

© Kluwer Academic Publishers 1990