In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

Some selected topics on the subject of large-N expansions are reviewed here. A brief
discussion of large-N critical phenomena is also presented. Generalizing the Schrödinger …

In this study, the Schrödinger equation (SE) with screened Kratzer potential (SKP) in the
presence of external magnetic and AB-flux fields is investigated using the factorization …

A detailed study of the bound-state properties of the Hulthén potential is presented. Accurate
eigenenergies are obtained for the Hulthén potential by numerical integration of the …

Perturbation theory is a powerful tool for solving a wide variety of problems in applied
mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most …

We approximately solve the Schrödinger equation for two-dimensional Wannier-Mott
excitons in the effective-mass approximation and derive an expression for the exciton …

The scaling of the Schrödinger equation with spatial dimension D is studied by an algebraic
approach. For any spherically symmetric potential, the Hamiltonian is invariant under such …

In Gödel-type Som–Raychaudhuri (SR) cosmic string spacetime background, we revisit
Klein–Gordon (KG) oscillators and report their exact solutions for positive/negative vorticity …

The bound state energy eigenvalues and the corresponding wave functions of the"
deformed" Rosen-Morse and modified Rosen-Morse potentials have been obtained by the …

The energy states of shallow donor impurity in GaAs/AlGaAs quantum dot heterostructure
with Gaussian potential have been calculated by the shifted 1/N expansion method. The …