Foundations of Physics

, Volume 27, Issue 8, pp 1123–1138 | Cite as

Quasi-continuous symmetries of non-lie type

  • Andrei Ludu
  • Walter Greiner
Part II. Invited Papers Dedicated to Lawrence Biedenharn


We introduce a smooth mapping of some discrete space-time symmetries into quasi-continuous ones. Such transformations are related with q-deformations of the dilations of the Euclidean space and with the noncommutative space. We work out two examples of Hamiltonian invariance under such symmetries. The Schrödinger equation for a free particle is investigated in such a noncommutative plane and a connection with anyonic statistics is found.


Commutator Relation Quantum Group Free Particle Discrete Symmetry Infinitesimal Generator 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Andrei Ludu
    • 1
  • Walter Greiner
    • 1
  1. 1.Institut für Theoretische Physik der J. W. Goethe UniversitätFrankfurt am MainGermany

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