Morgan & Claypool Publishers, San Rafael, USA, 2015. — 93 p. — ISBN: 1627056238The history of how quantum mechanics was developed is a fascinating one and underlies the focus of this book; namely, given the rules that the founders of quantum mechanics developed, is it possible to find principles that lead to the structure of quantum mechanics as it was historically formulated? This is the first book in a series of works considering what particular relativity is applicable to a given dynamical theory. The series considers Newton, Einstein, and de Sitter relativities, while this book examines the unitary irreducible representations of the Galilei group and see how they provide the framework for Galilean quantum theory. Contents Introduction Newton relativity and one-particle Galilean quantum theory Non-inertial transformations, fictitious forces and the equivalence principle Multiparticle systems and interactions Internal symmetries Conclusion Appendices Transitive manifolds Irreducible representations of the Galilei group and the origin of mass and spin Decomposition of n-fold tensor products and Clebsch–Gordan coefficients
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