The Hartree-Fock equations for many-electron atoms embedded in a plasma medium are
solved using two different plasma models:(a) Debye-Hückel screening (DHS) potential and …

The energy eigenvalues of the ground state helium atom and lowest two excited states
corresponding to the configurations 1s2s embedded in the plasma environment using …

The relative ordering of energy levels is investigated for bound two-electron systems with
potentials of the form V (r 1, r 2, r 12)= Z (v (r 1)+ v (r 2))− v (r 12). Given the two one-body …

The Schrodinger equation with generalized pseudo-harmonic oscillator (GPHO) is
transformed into a form that is compatible with extended Nikiforov-Uvarov (ENU) formalism …

We study the discrete spectrum of the Hamiltonian H=− Δ+ V (r) for the Coulomb plus power-
law potential V (r)=− 1/r+ β sgn (q) rq, where β> 0, q>− 2 and q≠ 0. We show by envelope …

We obtain, using the Birman–Schwinger method, a series of necessary conditions for the
existence of at least one bound state applicable to arbitrary central potentials in the context …

A single spin‐1/2 particle obeys the Dirac equation in spatial dimension and is bound by an
attractive central monotone potential which vanishes at infinity (in one dimension the …

We study a single particle which obeys non-relativistic quantum mechanics in ℜ N and has
Hamiltonian H=− Δ+ V (r), where V (r)= sgn (q) r q. If N≥ 2, then q>− 2, and if N= 1, then q> …

We establish sharp (or'refined') comparison theorems for the Klein–Gordon equation. We
show that the condition V a≤ V b, which leads to E a≤ E b, can be replaced by the weaker …

The relativistic hydrogen atom in a Euclidean space–time of arbitrary number of space
dimensions (D) plus one time dimension is revisited. In particular, numerical solutions of the …