Eur. Phys. J. C 20, 393-396
DOI: 10.1007/s100520100649

Perturbative aspects of q-deformed dynamics

J.-z. Zhang^{1, 2, 3} and P. Osland<sup>2

1</sup>  Department of Physics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany
²  Department of Physics, University of Bergen, 5007 Bergen, Norway
³  Institute for Theoretical Physics, Box 316, East China University of Science and Technology, Shanghai 200237, P.R. China

(Received: 26 February 2001 / Published online: 11 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )

Abstract
Within the framework of the q-deformed Heisenberg algebra a dynamical equation of q-deformed quantum mechanics is discussed. The perturbative aspects of the q-deformed Schrödinger equation are analyzed. General representations of the additional momentum-dependent interaction originating from the q-deformed effects are presented in two approaches. As examples, such additional interactions related to the harmonic-oscillator potential and the Morse potential are demonstrated.

© Società Italiana di Fisica, Springer-Verlag 2001