Operator formalism of quantum mechanics
Mathematical Physics
2007-05-23 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0012051,
title = {Operator formalism of quantum mechanics},
author = {Jan Naudts},
journal= {arXiv preprint arXiv:math-ph/0012051},
year = {2007}
}
Comments
49 pages