Finite groups and quantum mechanics: evolution and decomposition of quantum systems
Seminars
Laboratory of Information Technologies
Seminar of the Scientific Department of Computational Physics
Date and Time: Wednesday, 10 April 2024, at 3:00 PM
Venue: room 310, Meshcheryakov Laboratory of Information Technologies, online on Webinar
Seminar topic: “Finite groups and quantum mechanics: evolution and decomposition of quantum systems”
Speaker: Vladimir Kornyak
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.