ABSTRACT
In elementary particle physics, supersymmetry is a symmetry relating fermions and bosons. Fermions are the particles with half-integral spin. Bosons are the particles with intrinsic angular momentum and integral spin. Supersymmetry is a new symmetry of matter and it renders the masses of elementary particles compatible with gravitation. One of the prime predictions of it is that all the known elementary particles have partners called superparticles. Every fermion has a bosonic superpartner and vice-versa. For example, fermionic quarks1 are partners of bosonic squarks2. That is, quarks and squarks belong to the same irreducible representation of supersymmetry. Some other supersymmetric pairs of particles are photon-photrino, lepton-slepton and gravitongravitino. It has been hoped that supersymmetric theories would be able to unify all the known forces. Applications of supersymmetry have been found in quantum mechanics, nuclear and condensed matter physics. Supersymmetric technique [1-8] can be employed to analytically solvable potentials to determine bound state eigenspectra and scattering matrix.
