Quantum mechanics in finite dimensions

Abstract

We explicitly compute, following the method of Weyl, the commutator [Q, P] of the position operator Q and the momentum operator P of a particle when the dimension of the space on which they act is finite with a discrete spectrum; and we show that in the limit of a continuous spectrum with the dimension going to infinity this reduces to the usual relation of Heisenberg. © 1976 Plenum Publishing Corporation.