Application of Tietz potential to study optical properties of spherical quantum dots

Abstract

In this work, we study the optical properties of spherical quantum dots by using Tietz potential. In this regard, we have applied Nikiforov-Uvarov (NU) technique and numerically solved the Schrödinger equation to obtain energy levels and wave functions. Then, by using the density matrix method, we have derived expressions for the changes in linear and third-order nonlinear absorption coefficients and refractive index. According to the results obtained from this work, it is deduced that: (i) the total refractive index and the absorption coefficients increase and shift towards higher energies as v 0 increases; (ii) the total absorption coefficient and refractive index decrease and also shift towards lower energies as r 0 increases.

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

“…The electronic and optical properties of low dimensional QDs have been investigated using various potential models such as Tietz [13], Gaussian [14], modified Gaussian [15], modified Kratzer [16], Rosen-Morse [17], ring-shaped non-spherical oscillator [18], Manning-Rosen [19],…”

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

“…It is well known that exact solutions of this equation are only possible for a few potential models, such as the Kratzer [6][7], Eckart potential [8][9][10], shifted Deng-Fan [11][12][13][14], Molecular Tietz potential [15][16][17][18], etc. The exact analytical solutions of the Schrödinger equation with some of these potentials are only possible for = 0.…”

Rotational-Vibrational Eigen Solutions of the D-Dimensional Schrödinger Equation for the Improved Wei Potential

“…Solving the Schrödinger equation by approximate analytical method is quite a challenge, it involves applying an appropriate approximation scheme (Ferreira and Prudente, 2017;Greene and Aldrich, 1976;Pekeris, 1934) to deal with the centrifugal term of the effective potential energy function, followed by a suitable solution technique. Different solution methods have been used by researchers to solve the Schrödinger equation, some of the solution techniques include: asymptotic iteration method (Falaye et al, 2013), generalized pseudospectral method (Roy, 2013), exact quantization rule (Falaye et al, 2015;Ikhdair and Sever, 2009;Ma and Xu, 2005), proper quantization rule (Louis et al, 2019;Dong and Cruz-Irrison, 2012) path integral approach (Khodja et al, 2019), Laplace transform approach (Tsaur and Wang, 2014), Nikiforov-Uvarov method (Khordad and Mirhosseini, 2015;Ikot et al, 2013;Yazarloo et al, 2012) and ansatz solution method (Okorie et al, 2020;Tang et al, 2013). In the year 1990, Wei proposed a four parameter potential energy function which fits the experimental Rydberg-Klein-Rees (RKS) data more closely than the Morse potential, particularly when the potential domain extends to near the dissociation limit (Jia et al, 2012), the Wei potential has been used to investigate the rotationalvibrating levels of diatomic molecules (Kunc and Gordillo-Vazquez, 1997).…”