Finite groups and quantum mechanics: evolution and decomposition of quantum systems
Seminar of the scientific department of computational physics
Abstract:
We consider constructive approaches to quantum theory: quantum mechanics based on permutation representations of finite groups and the Weyl-Schwinger finite phase space quantum mechanics. We show that both approaches lead to the conclusion that at a deep level, quantum evolution is based on permutations of finite sets. Research methods based on computational group theory and computer algebra are discussed.
