Combinatorial Approach to Modeling Quantum Systems

• Published in: EPJ Web of Conferences Vol. 108; p. 1007
• Main Author: Kornyak, Vladimir V.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Les Ulis EDP Sciences 01.01.2016
• Subjects: Combinatorial analysis; Complex numbers; Evolution; Permutations; Principle of least action; Quantum mechanics; Quantum theory; Trajectories

Using the fact that any linear representation of a group can be embedded into permutations, we propose a constructive description of quantum behavior that provides, in particular, a natural explanation of the appearance of complex numbers and unitarity in the formalism of the quantum mechanics. In o...