Resonances in the Presence of the Space Charge Force . . . . . . 3.1 Equations of Motion . . . ; . . . . . . . . . . . . . . . . . 3.2 Amplitude Dependence of the Tune . . . . . . . . . . . . . 3.3 Particle Behavior under Resonance and Space Charge Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . 3.4 Resonance Phase Space Structure with No Space Charge . . 3.5 Resonance Phase Spac...

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...