English

Perturbative Aspects of q-Deformed Dynamics

High Energy Physics - Theory 2009-01-07 v1

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 Schr\"odinger 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.

Keywords

Cite

@article{arxiv.hep-th/0102014,
  title  = {Perturbative Aspects of q-Deformed Dynamics},
  author = {Jian-zu Zhang and Per Osland},
  journal= {arXiv preprint arXiv:hep-th/0102014},
  year   = {2009}
}

Comments

10 pages, LaTeX, including 1 figure

R2 v1 2026-07-22T15:02:26.686Z