English

Prepotential approach to systems with dynamical symmetries

Quantum Physics 2012-11-08 v1 Mathematical Physics math.MP

Abstract

A prepotential approach to constructing the quantum systems with dynamical symmetry is proposed. As applications, we derive generalizations of the hydrogen atom and harmonic oscillator, which can be regarded as the systems with position-dependent mass. They have the symmetries which are similar to the corresponding ones, and can be solved by using the algebraic method.

Keywords

Cite

@article{arxiv.1211.1532,
  title  = {Prepotential approach to systems with dynamical symmetries},
  author = {Yan Li and Fu-Lin Zhang and Jing-Ling Chen and L. C. Kwek},
  journal= {arXiv preprint arXiv:1211.1532},
  year   = {2012}
}

Comments

14 pages, no fig

R2 v1 2026-06-21T22:34:17.566Z