# The Problem of Hidden Variables in Quantum Mechanics

@article{Kochen1967ThePO, title={The Problem of Hidden Variables in Quantum Mechanics}, author={Simon Kochen and Ernst Specker}, journal={Indiana University Mathematics Journal}, year={1967}, volume={17}, pages={59-87} }

Forty years after the advent of quantum mechanics the problem of hidden variables, that is, the possibility of imbedding quantum theory into a classical theory, remains a controversial and obscure subject. Whereas to most physicists the possibility of a classical reinterpretation of quantum mechanics remains remote and perhaps irrelevant to current problems, a minority have kept the issue alive throughout this period. (See Freistadt [5] for a review of the problem and a comprehensive…

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## References

SHOWING 1-10 OF 13 REFERENCES

A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II

- Physics
- 1952

In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a…

Mathematical Foundations of Quantum Mechanics

- Physics
- 1955

Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth…

Measures on the Closed Subspaces of a Hilbert Space

- Mathematics
- 1957

In his investigations of the mathematical foundations of quantum mechanics, Mackey1 has proposed the following problem: Determine all measures on the closed subspaces of a Hilbert space. A measure on…

The spin-Hamiltonian and line widths in nickel Tutton salts

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1952

An account is given of the derivation and properties of a spin-Hamiltonian which has recently been used to describe the results of magnetic resonance experiments on nickel Tutton salts. It is…

A Modified Perturbation Procedure for a Problem in Paramagnetism

- Physics
- 1950

A modified perturbation technique is described for problems in which second-order effects are comparable in magnitude with first-order effects, where orthodox methods break down. It is applied to the…

Paramagnetic resonance in the nickel Tutton salts

- Chemistry, PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1952

The paramagnetic resonance spectra of five nickel Tutton salts have been analyzed at 290° K. The positions and intensities of the absorption lines are adequately explained by a crystalline electric…

DIE LOGIK NICHT GLEICHZEITIG ENTSC HEIDBARER AUSSAGEN

- Philosophy
- 1960

Das der Arbeit vorangestellte Motto ist der Untertitel des Kapitels La physique de l’objet quelconque aus dem Werk Les mathematiques et la realite; diese Physik erweist sich im wesentlichen als eine…