SUPERSYMMETRY IN QUANTUM MECHANICAL POINT OF VIEW

چکیده مقاله

This article is a general review of supersymmetry in Quantum mechanical point of view. We have started to present the supersymmetric description of the non-relativistic quantum mechanics, using the Homiltonian of the harmnonic oscillator. Generalizing Homiltonian of the harmnonic oscillator, we have obtained the super-potential and its physical description. Using the natural properties of SUSY we derive the first quantization of the massless Dirac operators in even dimensions. Introducing Coleman – Mandula and Hagg – Lapuszanski – Sohnius theorem we proof that supersymmetric generators construct the Lie algebra. Introducing the Weyl , Dirac , Majorana Spinors and using the left-handed Weyl fermion which can be constructed by a complex scalar field, we introduce Wess – Zumino model by the help of auxiliary fields and Grassman variables which construct super-space and super-field formalism.