Foundations of Physics

, Volume 6, Issue 5, pp 583–587 | Cite as

Quantum mechanics in finite dimensions

  • T. S. Santhanam
  • A. R. Tekumalla


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.


Quantum Mechanic Continuous Spectrum Discrete Spectrum Finite Dimension Usual Relation 
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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • T. S. Santhanam
    • 1
    • 2
  • A. R. Tekumalla
    • 3
  1. 1.MatscienceMadrasIndia
  2. 2.Physikalisches Institut der Universität WurzburgWest Germany
  3. 3.MatscienceMadrasIndia

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