The physical principles of quantum mechanics. A critical review
Sezione di Pisa, INFN, Pisa, Italy
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Revised: 9 December 2011
Accepted: 12 December 2011
Published online: 30 January 2012
The standard presentation of the principles of quantum mechanics is critically reviewed both from the experimental/operational point and with respect to the request of mathematical consistency and logical economy. A simpler and more physically motivated formulation is discussed. The existence of non commuting observables, which characterizes quantum mechanics with respect to classical mechanics, is related to operationally testable complementarity relations, rather than to uncertainty relations. The drawbacks of Dirac argument for canonical quantization are avoided by a more geometrical approach.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2012