Foundations of Physics

, Volume 6, Issue 5, pp 583–587

Quantum mechanics in finite dimensions

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

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations