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arXiv · hep-th/9211060

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

Ctirad Klimčík·Eliza Klimčík
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Abstract

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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Ctirad Klimčík, Eliza Klimčík. 1992-11-13. On Macroscopic Energy Gap for $q$-Quantum Mechanical Systems. https://doi.org/10.1088/0305-4470%2F26%2F5%2F020

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