An iteration algorithm is proposed for solving the fractional Schrödinger equatin.

What is it about?

This research paper presents an iteration algorithm for solving the time-independent fractional Schrödinger equation with Coulomb potential. The algorithm uses the Riemann-Liouville definition of fractional derivative and quadrature methods, and is applied to the case of an electron in a nucleus field. The results are compared to the fractional Bohr's atom formula in fractional quantum mechanics.

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Why is it important?

An iteration algorithm is proposed for solving the time-independent fractional Schrödinger equation with Coulomb potential. The algorithm uses the Riemann-Liouville definition of fractional derivative and quadrature methods. The algorithm is applied to the case of an electron in a nucleus field with varying values of the fractional parameter. The results obtained from the algorithm are compared to those from the fractional Bohr's atom formula in fractional quantum mechanics.

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