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

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

1992-11-13

arxiv.org/abs/hep-th/9211060v1

J.Phys. A26 (1993) L289-L292

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/26/5/020

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.

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