Abstract
A generalized uncertainty relation for an entangled pair of particles is obtained if we impose a symmetrization rule for all operators that we should employ when doing any calculation using the entangled wave function of the pair. This new relation reduces to Heisenberg’s uncertainty relation when the particles have no correlation and suggests that we can have new lower bounds for the product of position and momentum dispersions.
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References
Y. H. Kim and Y. Shih, “Experimental realization of Popper’s experiment: Violation of the uncertainty principle?,”Found. Phys. 29, 1849 (1999).
K. R. Popper,Quantum Theory and the Schism in Physics (Hutchinson, London, 1982).
A. Einstein, B. Podolsky, and N. Rosen, “Can quantum mechanical description of physical reality be considered complete?,”Phys. Rev. 47, 777 (1935).
A. J. Short, “Popper’s experiment and conditional uncertainty relations,”Found. Phys. 14, 275 (2001); quant-ph/0005063.
C. S. Unnikrishnan, “Popper’s experiment, uncertainty principle, signal locality and momentum conservation,”Found. Phys. Lett. 13, 197 (2000).
C. Cohen-Tannoudji, Bernard Diu, and Franck LaloË,Quantum Mechanics,Vol. 2 (Hermann and Wiley, Paris, 1977).
A. C. de la Torre, P. Catuogno, and S. Ferrando, “Uncertainty and nonseparability,”Found. Phys. Lett. 2, 235 (1989).
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Rigolin, G. Uncertainty relations for entangled states. Found Phys Lett 15, 293–298 (2002). https://doi.org/10.1023/A:1021039822206
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DOI: https://doi.org/10.1023/A:1021039822206