On Macroscopic Energy Gap for q-Quantum Mechanical Systems
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 q1, 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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