A Numerical Method for Fractional Schrödinger Equation of Lennard-Jones Potential
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Researchers |
Marwan Al-Raeei and Moustafa Sayem El-Daher |
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Published in |
Physics Letters A, Volume 383, Issue 26, 12 September 2019, Article No. 125831. |
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Abstract |
Depending on fractional analysis, we find a numerical algorithm to solve the time-independent fractional Schrödinger equation in case of Lennard-Jones potential in one dimension. We apply the algorithm for multiple values of the fractional parameter of the space-dependent fractional Schrödinger equation and multiple values of the system’s energy to find the wave function and the probability in these cases. Key words: Fractional Schrödinger equation, Lennard-Jones potential, Wave function, Fractional factor. |
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Link to read full paper |