Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics
Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics
In order to provide a general framework for applications of nonstandard analysis to quantum physics, the hyperfinite Heisenberg group, which is a finite Heisenberg group in the nonstandard universe, is formulated and its unitary representations are examined. The ordinary Schrödinger representation of the Heisenberg group is obtained by a suitable …