Advertisement

Deformed Heisenberg algebras, a Fock-space representation and the Calogero model

  • V. Bardek
  • S. Meljanac
Theoretical physics

Abstract.

We describe generally deformed Heisenberg algebras in one dimension. The condition for a generalized Leibniz rule is obtained and solved. We analyze conditions under which deformed quantum-mechanical problems have a Fock-space representation. One solution of these conditions leads to a q-deformed oscillator already studied by Lorek et al., and reduces to the harmonic oscillator only in the infinite-momentum frame. The other solution leads to the Calogero model in ordinary quantum mechanics, but reduces to the harmonic oscillator in the absence of deformation.

Keywords

Quantum Mechanic Harmonic Oscillator Leibniz Rule Heisenberg Algebra Ordinary Quantum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • V. Bardek
    • 1
  • S. Meljanac
    • 1
  1. 1.Theoretical Physics Division, Rudjer Bošković Institute, P.O. Box 180, 10002 Zagreb, CroatiaHR

Personalised recommendations