Berry's Phase in the Supersymmetric Ordinary Quantum and Paraquantum Mechanics: Two Simple Examples

Authors: Noureddine MEBARKI, Mohamed El Hadi TRAIKIA, Mustapha MAAMACHE, Nourredinne RAHEM

Abstract: With a simple choice of the superpotential, two simple examples of supersymmetric ordinary quantum and paraquantum systems are studied and the related Berry's phases are obtained. Moreover, it is shown that for a specific value of the superpotential parameter, the supersymmetric ordinary quantum system is equivalent to a nonsupersymmetric paraquantum generalized harmonic oscillator.