The Physical Principles of Quantum Mechanics. A critical review

Abstract

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.

Bibliography and section 2.1 slightly improved

References in corpus (3)

• Quantization Methods: A Guide for Physicists and Analysts
• The Noncommutative Poisson Algebra of Classical and Quantum Mechanics
• Classical and Quantum Mechanics from the universal Poisson-Rinehart algebra of a manifold

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• Mathematical Foundations of Quantum Mechanics: An Advanced Short Course
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