The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

The concept of supersymmetry arose in the study of elementary particle physics. The term “supersymmetry” was originally used in reference to the symmetry of bosons and fermions, which behave according to different statistical laws. Supersymmetry is widely regarded as a necessary concept for unifying all the elementary forces. The concept of supersymmetry was originally formulated in the framewo...

Cλ-extended oscillator algebras, where Cλ is the cyclic group of order λ, are introduced and realized as generalized deformed oscillator algebras. For λ = 2, they reduce to the well-known Calogero–Vasiliev algebra. For higher λ values, they are shown to provide in their bosonic Fock space representation some interesting applications to supersymmetric quantum mechanics and some variants thereof:...

A new exact analytically solvable Eckart-type potential is presented, a generalisation of the Hulthén potential. The study through Supersymmetric Quantum Mechanics is presented together with the hierarchy of Hamiltonians and the shape invariance property.