Deformed geometric algebra and supersymmetric quantum mechanics

Deforming the algebraic structure of geometric algebra on the phase space with a Moyal product leads naturally to supersymmetric quantum mechanics in the star product formalism. The supersymmetric Hamiltonian emerges then from the classical one by the transition from commutative to noncommutative geometry on the phase space. (C) 2006 Elsevier B.V. All rights reserved.