Quantum mechanics in finite dimensions
- Cite this article as:
- Santhanam, T.S. & Tekumalla, A.R. Found Phys (1976) 6: 583. doi:10.1007/BF00715110
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We explicitly compute, following the method of Weyl, the commutator [Q, P] of the position operatorQ and the momentum operatorP 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.