Quantum mechanics in finite dimensions

This paper contributes to a recent series discussing quantum mechanics defined on a finite-dimensional Hilbert space in which Weyl's commutation relation for unitary operators holds. In an earlier paper, it was shown that the commutation relation for hermitian operators with a bounded spectrum tends to Heisenberg's standard canonical commutation relation as the spectrum becomes continuous and the dimension n→ infinity. The present paper offers a formulation which is coordinate free in the limit n→ infinity and makes the limiting procedure especially transparent