Quantum Particle on a Quantum Circle
T. Brzezinski, J. Rembielinski, K.A. Smolinski
TL;DR
This paper introduces a q-deformed quantum system modeling a free particle on a circle, detailing the algebra of observables and classifying its irreducible representations.
Contribution
It presents a novel q-deformation framework for quantum particles on a circle, including algebra construction and representation classification.
Findings
Algebra of observables explicitly constructed
Irreducible representations classified
New q-deformed quantum system model proposed
Abstract
We describe a -deformed dynamical system corresponding to the quantum free particle moving along the circle. The algebra of observables is constructed and discussed. We construct and classify irreducible representations of the system.
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