Linear and nonlinear optical properties in spherical quantum dots: Inversely quadratic Hellmann potential

Highlights: • The optical properties of a spherical quantum dot with inversely quadratic Hellmann potential are investigated. • The energy levels and wavefunctions of the quantum dot are determined using the Nikiforov-Uvarov method. • The optical intensity, the quantum dot radius and potential height have significant influence on the optical properties. The aims of the reported work are to provide new insights into the quantum dot optical properties confined in an inverse of a quadratic Hellmann potential. The Schrödinger equation is solved using the Nikiforov-Uvarov (NU) method, in order to obtain the analytical expressions of the eigenenergies and the eigenfunctions. The linear together with the third-order nonlinear changes in absorption coefficients and refractive index are investigated using the density matrix formalism. The absorption coefficients and the refractive index changes are strong related to the structure parameters and the optical intensity.