7 papers
On the correlation energies for two interacting electrons in a parabolic quantum dot
Omar Mustafa
The correlation energies for two interacting electrons in a parabolic quantum dot are studied via a pseudo-perturbation recipe. It is shown that the central spike term, ($m^2-1/4)/…
Part of the D - dimensional anharmonic oscillator spectra
Omar Mustafa, Maen Odeh
The pseudoperturbative shifted - expansion technique PSLET [12,16] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from…
Pseudo perturbative expansion method; the non-polynomial, cutoff - Coulomb, and Coulomb plus logarithmic potentials
Omar Mustafa, Maen Odeh
We propose a new analytical method to solve for nonexactly soluble Schrodinger equation via expansions through some existing quantum numbers. Successfully, it is applied to the rat…
2D H-atom in an arbitrary magnetic field via pseudoperturbation expansions through the quantum number l
Omar Mustafa, Maen Odeh
The pseudoperturbative shifted-l expansion technique (PSLET) is introduced to determine nodeless states of the 2D Schrodinger equation with an arbitrary cylindrically symmetric pot…
Nonrelativistic shifted-l expansion technique for three- and two-dimensional Schrodinger equation
Omar Mustafa, Thabit Barakat
The shifted-l expansion technique (SLET) has been developed to get eigenvalues of Schrodinger equation in three (3D) and two dimensions (2D). SLET simply consists of 1/\bar{l} as a…
Relativistic shifted-l expansion technique for Dirac and Klein-Gordon equations
Omar Mustafa, Thabit Barakat
The shifted-i expansion technique (SLET) is extended to solve for Dirac particle trapped in spherically symmetric scalar and/or 4-vector potentials. A parameter λ=0,1 is introduced…