Quantum models based on finite groups
Journal of Physics, Conference Series
We consider a constructive modification of quantum-mechanical formalism. Replacement of a general unitary group by unitary representations of finite groups makes it possible to reproduce quantum formalism without loss of its empirical content. Since any linear representation of a finite group can be implemented as a subrepresentation of a permutation representation, quantum-mechanical problems can be formulated in terms of permutation groups. Reproducing quantum behavior in the framework of
... he framework of permutation representations of finite groups makes it possible to clarify the meaning of a number of physical concepts.