Probing Schrodinger equation with a continued fraction potential
Ahmed, N., Alamri, S., Rassem, M. (2018). Probing Schrodinger equation with a continued fraction potential. EKB Journal Management System, 7(1), 1-3. doi: 10.1016/j.nrjag.2018.03.001
Nasr Ahmed; Sultan Z. Alamri; M. Rassem. "Probing Schrodinger equation with a continued fraction potential". EKB Journal Management System, 7, 1, 2018, 1-3. doi: 10.1016/j.nrjag.2018.03.001
Ahmed, N., Alamri, S., Rassem, M. (2018). 'Probing Schrodinger equation with a continued fraction potential', EKB Journal Management System, 7(1), pp. 1-3. doi: 10.1016/j.nrjag.2018.03.001
Ahmed, N., Alamri, S., Rassem, M. Probing Schrodinger equation with a continued fraction potential. EKB Journal Management System, 2018; 7(1): 1-3. doi: 10.1016/j.nrjag.2018.03.001

Probing Schrodinger equation with a continued fraction potential

NRIAG Journal of Astronomy and Geophysics
Volume 7, Issue 1, June 2018, Pages 1-3    PDF (653.92 K)
DOI: 10.1016/j.nrjag.2018.03.001
Authors
Nasr Ahmed; Sultan Z. Alamri; M. Rassem
Abstract
We suggest a new perturbed form of the quantum potential and investigate the possible solutions of Schrodinger equation. The new form can be written as a finite or infinite continued fraction. a comparison has been given between the continued fractional potential and the non-perturbed potential. We suggest the validity of this continued fractional quantum form in some quantum systems. As the order of the continued fraction increases the difference between the perturbed and the ordinary potentials decreases. The physically acceptable solutions critically depend on the values of the continued fraction coefficients .
Keywords
Quantum Physics; Schrodinger equation
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