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Publications (5)
The ground energy and some low lying excited energies and the corresponding wavefunctions for the generalized Killingbeck potential are investigated within the context of the recently introduced differential quadratic method. Highly accurate energy eigenvalues and an excellent agreement were found compared with the power series expansion and the su...
This paper deals with an integration method of the Schrödinger equation for the bound states, developed within the context of the recently introduced differential quadratic (DQ) method. It is shown also that this result may be extended to the case of a system of coupled differential equations. An application is also proposed and examined.
In our earlier work, we have developed the differential quadratic method (DQ) to find the physical structures of the Schrödinger equation in which the interpolating points of Tchebychev have been used. In this paper the particle swarm optimization (PSO for short) has been suggested as a means to improve qualitatively the solutions. This approach is...
The proposed study will focus on the evaluation of the bound states of the Schrödinger equation in the framework of the central potential using a differential quadratic method (hereafter called DQ). We present two realistic examples to argue an excellent performance of the proposed method, compared with other results for the same potentials.
In a previous work, we have introduced the generalized differential quadratic method (called GDQ) to handle the Schrödinger equation. This paper deals with a particular situation in which an application to the non polynomial potential is considered. The results are compared with some numerical examples for the same potential of interest.