The $q$-Deformed Wigner Oscillator in Quantum Mechanics
R. de Lima Rodrigues
TL;DR
This paper introduces a new realization of the q-deformed Wigner oscillator using a super-realization of the Wigner-Heisenberg algebra, advancing the mathematical framework of quantum oscillators.
Contribution
It presents a novel realization of the q-deformed Wigner oscillator based on super-realization techniques, expanding the algebraic structures in quantum mechanics.
Findings
New algebraic realization of q-deformed Wigner oscillator
Enhanced understanding of Wigner-Heisenberg algebra applications
Potential implications for quantum systems modeling
Abstract
Using a super-realization of the Wigner-Heisenberg algebra a new realization of the q-deformed Wigner oscillator is implemented.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Non-Hermitian Physics · Algebraic structures and combinatorial models