
%0 Journal Article
%A Santhanam, TS 
%A Sinha, KB 
%T Quantum Mechanics in Finite Dimensions
%J Australian Journal of Physics
%D 1978/08/01
%V 31
%N 4
%P 233-238
%K 
%R https://doi.org/10.1071/PH780233
%U https://www.publish.csiro.au/paper/PH780233 
%X 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, Santhanam and Tekumalla (1976) showed that the commutation relation for hermitian operators with a bounded spectrum tends to Hdsenberg's standard canonical commutation relation as the spectrum becomes continuous and the dimension n -> 00. The present paper offers a formulation which is coordinate free in the limit n -> 00 and makes the limiting procedure especially ransparent. 
