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Operator formalism of quantum mechanics

Jan Naudts
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Abstract

This is the first chapter of a new and unconventional textbook on quantum mechanics and quantum field theory. The chapter introduces standard quantum mechanics by means of a symmetry principle, without reference to classical mechanics. The mathematical foundation of this approach comes from a recent paper of Naudts and Kuna on covariance systems. The standard representation of quantum mechanics is derived. Next, spin and mass of a quantum particle are explained as labels of projective representations of the Galilei group.

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Jan Naudts. 2000-12-29. Operator formalism of quantum mechanics. https://arxiv.org/abs/math-ph/0012051

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