Abstract
A quantum covariance function is introduced whose real and imaginary parts are related to the independent contributions to the uncertainty principle: noncommutativity of the operators and nonseparability. It is shown that factorizability of states is a sufficient but not necessary condition for separability. It is suggested that all quantum effects could be considered to be a consequence of nonseparability alone.
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References
H. P. Robertson,Phys. Rev. 34, 163 (1929).
E. Schrödinger,Berliner Berichte 296 (1930).
L. Ballentine and J. P. Jarret,Am. J. Phys. 55, 696 (1987).
M. Redhead,Incompleteness, Nonlocality and Realism (Clarendon Press, Oxford, 1987).
B. d'Espagnat,Phys. Rep. 110, 201 (1984).
A. Einstein, B. Podolsky, and N. Rosen,Phys. Rev. 47, 777 (1935).
D. Bohm,Quantum Theory (Prentice-Hall, Englewood Cliffs, 1951).
J. S. Bell,Physics 1, 195 (1964).
J. F. Clauser and A. Shimony,Rep. Prog. Phys. 41, 1881 (1978).
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de la Torre, A.C., Catuogno, P. & Ferrando, S. Uncertainty and nonseparability. Found Phys Lett 2, 235–244 (1989). https://doi.org/10.1007/BF00692669
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DOI: https://doi.org/10.1007/BF00692669