Subsystems of a Closed Quantum System in Finite Quantum Mechanics

Any Hilbert space of composite dimension can be decomposed into a tensor product spaces lower dimensions. Such factorization makes it possible to decompose quantum system subsystems. Using modification mechanics in which the continuous unitary group is replaced with permutation representation finite group, we suggest model for constructive study decompositions closed To investigate behavior systems resulting from decompositions, develop algorithms based on methods computer algebra and computational theory.