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On Macroscopic Energy Gap for $q$-Quantum Mechanical Systems

High Energy Physics - Theory 2016-08-14 v1

Abstract

The q-deformed harmonic oscillator within the framework of the recently introduced Schwenk-Wess qq-Heisenberg algebra is considered. It is shown, that for "physical" values q1q\sim1, the gap between the energy levels decreases with growing energy. Comparing with the other (real) qq-deformations of the harmonic oscillator, where the gap instead increases, indicates that the formation of the macroscopic energy gap in the Schwenk-Wess qq-Quantum Mechanics may be avoided.

Keywords

Cite

@article{arxiv.hep-th/9211060,
  title  = {On Macroscopic Energy Gap for $q$-Quantum Mechanical Systems},
  author = {Ctirad Klimčík and Eliza Klimčík},
  journal= {arXiv preprint arXiv:hep-th/9211060},
  year   = {2016}
}

Comments

6 pages, TeX, PRA-HEP-92/15

R2 v1 2026-07-22T15:44:17.790Z