pseudo harmonic oscillator with positive curvature and it , s operators

pseudo harmonic oscillator with positive curvature and it , s operators

In this article, we studied the pseudo harmonic oscillator in positive curvature coordinates. we use the Laplace operator in curvature coordinate and obtain the Schr¨odinger like equation. By comparing this equation to Jacobi equation, we calculate the wave function and energy spectrum. Finally, we use factorization method from Jacobi polynomial and obtain the first order operators. In that case we show that the raising and lowering operators will be form of supersymmetry algebra.