Two-parameter deformed supersymmetric oscillators with SUq1/q2 (n vertical bar m)-covariance

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. Finally, some physical applications of the two parameter deformed superoscillators algebra with the quantum supergroup SUq1/q2 (n/m)-symmetry are also discussed in detail. (C) 2009 Elsevier B.V. All rights reserved.