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Proof of the Heisenberg Relations

Abstract

SINCE Heisenberg's uncertainty relations play an essential part in quantum mechanics, especially in the discussion of the dual wave-particle aspect of matter, the derivation of these relations is of importance. We became interested in this problem in connexion with a lecture course on quantum mechanics given by one of us. In this course we wished to give a derivation of the Heisenberg relations which was rigorous without, however, involving commutator relations.

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References

  1. Moyal, J. E., Proc. Camb. Phil. Soc., 45, 119 (1949)

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  2. Heisenberg, W., “Die Physikalischen Prinzipien der Quantentheorie” (Hirzel Verlag, Leipzig, 1930).

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HAAR, D., NICOL, W. Proof of the Heisenberg Relations. Nature 175, 1046 (1955). https://doi.org/10.1038/1751046a0

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