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 …

The heat capacity and entropy effects in a GaAs quantum dot with Gaussian confinement are
calculated in the presence of a magnetic field and its interaction with the electron spin using …

The problem of an exciton trapped in a Gaussian quantum dot (QD) of GaAs is studied in
both two and three dimensions in the presence of an external magnetic field using the Ritz …

The total magnetization and susceptibility arising from dia-and paramagnetic effects in a
Gaussian quantum dot are calculated and their dependence on temperature (T) and …

The binding energies of a neutral hydrogenic donor centre (D0) and a negatively charged
hydrogenic ion (D−) trapped in a three-dimensional quantum dot with Gaussian confinement …

A method based on supersymmetric quantum mechanics is given for obtaining exact
solutions of the potential V (r)= α/r+ p 1 r+ p 2 r 2+ p 3 r 3+ p 4 r 4 where α and the p's are …

The method of shifted large-N expansion, where N is the number of spatial dimensions, is
applied to study the bound states of the Hellmann potential, which represents the …

The problem of two electrons in a three-dimensional quantum dot with Gaussian
confinement is investigated for the singlet pairing by a variational method with a very simple …

The Schrödinger equations of diatomic molecules with empirical potential functions are
solved approximately by means of the hypergeometric series method. The potential …