Two-parameter deformed supersymmetric oscillators with SUq1/q2(n|m)-covariance
Abdullah Algin, Metin Arik, Ali Serdar Arikan
TL;DR
This paper introduces a two-parameter deformed supersymmetric oscillator system with SUq1/q2(n|m)-covariance, constructs a corresponding deformed N=2 SUSY algebra, and explores its Fock space representation and Hamiltonian.
Contribution
It presents a novel two-parameter deformation of supersymmetric oscillators with explicit algebraic and representation-theoretic structures.
Findings
Constructed a two-parameter deformed N=2 SUSY algebra.
Derived the Fock space representation of the deformed algebra.
Obtained the Hamiltonian for the generalized superoscillators.
Abstract
A two-parameter deformed superoscillator system with SUq1/q2(n|m)-covariance is presented and used to construct a two-parameter deformed N=2 SUSY algebra. The Fock space representation of the algebra is discussed and the deformed Hamiltonian for such generalized superoscillators is obtained.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Quantum Mechanics and Non-Hermitian Physics