Quantum mechanics in finite dimensions |
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Authors: | T. S. Santhanam A. R. Tekumalla |
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Affiliation: | (1) Matscience, Madras, India;(2) Physikalisches Institut der Universität Wurzburg, West Germany;(3) Matscience, Madras, India |
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Abstract: | 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. |
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