What is it about?

This study uses numerical methods to find solutions for the fractional Schrödinger equation with London dispersion potential. The solutions are found for different values of the equation's parameter and are applicable to systems with London dispersion potential, such as soft materials and inert gases. Some solutions are physically acceptable while others are not.

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Why is it important?

The solutions are found for multiple values of the space-dependent fractional Schrödinger equation parameter with a certain value of energy. The numerical solutions are physically acceptable for some values of the space-dependent fractional parameter, but not for others in a specific case. The solutions can be applied to systems that follow the London dispersion potential type, such as soft materials systems and inert gas fluids.

Perspectives

The study applies the definition of a fractional derivative and numerical-integral methods to find solutions for the fractional Schrödinger equation with a time-independent form.

Dr. Marwan Al-Raeei
Damascus University

Read the Original

This page is a summary of: Numerical simulation of the space dependent fractional Schrödinger equation for London dispersion potential type, Heliyon, July 2020, Elsevier,
DOI: 10.1016/j.heliyon.2020.e04495.
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