Journal of Mathematical Physics

Nontrivial systems and the necessity of the scalar quantum mechanics axioms

Jan Kotůlek

Published Jun 1, 2009• 1 citation

Abstract

We discuss the necessity of the axioms of scalar quantum mechanics introduced by Paschke and clearly demonstrate their geometric and/or physical meaning. We show that reasonable nonrelativistic quantum mechanics is exactly specified by the axioms. A system describing the electric Aharonov–Bohm effect is presented. It illustrates the topological obstructions for the existence of a Hamiltonian.

DOI: 10.1063/1.3133887

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