On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz

Abstract

Making an ansatz to the wave function, the exact solutions of the $D$% -dimensional radial Schrodinger equation with some molecular potentials like pseudoharmonic and modified Kratzer potentials are obtained. The restriction on the parameters of the given potential, $\delta$ and $\eta$ are also given, where $\eta$ depends on a linear combination of the angular momentum quantum number $\ell$ and the spatial dimensions $D$ and $\delta$ is a parameter in the ansatz to the wave function. On inserting D=3, we find that the bound state eigensolutions recover their standard analytical forms in literature.

14 pages

References in corpus (7)

• Spectroscopy of $B_c$ meson in a semi-relativistic quark model using the shifted large-N expansion method
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Exact Solutions to the Schrödinger Equation for the potential $V(r)=a{r}^2+b{r}^{-4}+c{r}^{-6}$ in 2D
• A perturbative treatment for the energy levels of neutral atoms
• B_c meson spectrum and hyperfine splittings in theshifted large-N-expansion technique
• B_{c} and heavy meson spectroscopy in the local approximation of the Schrodinger equation with relativistic kinematics
• Calculation of the B_{c}leptonic decay constant using the shifted N-expansion method

Cited by in corpus (9)

• Realization of the spectrum generating algebra for the generalized Kratzer potentials
• Exact solutions of the radial Schrodinger equation for some physical potentials
• Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
• Time independent fractional Schrodinger equation for generalized Mie-type potential in higher dimension framed with Jumarie type fractional derivative
• Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential
• Topological Effects on Non-Relativistic Eigenvalue Solutions Under AB-Flux Field with Pseudoharmonic- and Mie-type Potentials
• Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method
• A Laplace transform approach to find the exact solution of the N-dimensional Schrödinger equation with Mie-type potentials and construction of Ladder operators
• Mass spectrum of Mesons via the WKB approximation method