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Computation of the Schrödinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization

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DOI: 10.4236/jmp.2010.11005    5,038 Downloads   10,691 Views   Citations

ABSTRACT

We develop the discrete derivatives representation method (DDR) to find the physical structures of the Schrödinger equation in which the interpolation polynomial of Bernstein has been used. In this paper the particle swarm optimization (PSO for short) has been suggested as a means to improve qualitatively the solu-tions. This approach is carefully handled and tested with a numerical example.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Zerarka, H. Saidi, A. Attaf and N. Khelil, "Computation of the Schrödinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization," Journal of Modern Physics, Vol. 1 No. 1, 2010, pp. 44-47. doi: 10.4236/jmp.2010.11005.

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