%0 Journal Article
%T On Macroscopic Energy Gap for $q$-Quantum Mechanical Systems
%A Ctirad Klim£¿{\'£¿}k
%A Eliza Klim£¿{\'£¿}k
%J Physics
%D 1992
%I arXiv
%R 10.1088/0305-4470/26/5/020
%X The q-deformed harmonic oscillator within the framework of the recently introduced Schwenk-Wess $q$-Heisenberg algebra is considered. It is shown, that for "physical" values $q\sim1$, the gap between the energy levels decreases with growing energy. Comparing with the other (real) $q$-deformations of the harmonic oscillator, where the gap instead increases, indicates that the formation of the macroscopic energy gap in the Schwenk-Wess $q$-Quantum Mechanics may be avoided.
%U http://arxiv.org/abs/hep-th/9211060v1