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Hidden Variables and Bell’s Inequalities

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The Quantum Mechanics Solver

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Abstract

When a quantum system possesses more than one degree of freedom, the associated Hilbert space is a tensor product of the spaces associated to each degree of freedom. This structure leads to specific properties of quantum mechanics, whose paradoxical character has been pointed out by Einstein, Podolsky and Rosen. Here we study an example of such a situation, by considering entangled states for the spins of two particles.

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References

  • A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).

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  • A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. J.S. Bell, Physics 1, 195 (1964); see also J. Bell, Speakable and unspeakable in quantum mechanics, Cambridge University Press, Cambridge (1993).

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  • A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 49, 91 (1982);

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  • A. Aspect, J. Dalibard, and G. Roger, Phys. Rev. Lett. 49, 1804 (1982).

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© 2000 Springer-Verlag Berlin Heidelberg

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Basdevant, JL., Dalibard, J. (2000). Hidden Variables and Bell’s Inequalities. In: The Quantum Mechanics Solver. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04277-9_15

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  • DOI: https://doi.org/10.1007/978-3-662-04277-9_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-04279-3

  • Online ISBN: 978-3-662-04277-9

  • eBook Packages: Springer Book Archive

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