Operator formalism of quantum mechanics

2000/12/29 by Jan Naudts, Naudts, Jan
Mathematics · Physics and Astronomy · #81S99 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:81S99

paper · pdf · doi:10.48550/arxiv.math-ph/0012051

49 pages

arxiv created 2000/12/29 · arxiv updated 2009/11/30

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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