An algorithm for fractional Schrödinger equation in case of Morse potential
Source abstract
Abstract
Based on methods of numerical integration and Riemann–Liouville definition of the fractional derivatives, we find a numerical algorithm to find solutions of the time independent fractional Schrödinger equation for Morse potential or the quantum oscillator potential in one dimension, and the iteration formula is applied for multiple values of the fractional parameter of the space dependent fractional Schrödinger equation and multiple values of energy. We define and use the dimensionless form of the space dependent fractional Schrödinger equation of Morse potential. We employ the iteration formula of the time independent fractional Schrödinger equation of Morse potential to find the wave functions in the case of hydrogen chloride and hydrogen fluoride molecules for a certain value of the fractional parameter of the space dependent fractional Schrödinger equation and for many values of the dimensionless energy of each molecule.
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Research context
OpenAlex topics: Quantum Mechanics and Non-Hermitian Physics · Fractional Differential Equations Solutions · Statistical Mechanics and Entropy
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Sciences, Damascus University 1 , Damascus, Syrian Arab Republic
Faculty of Informatics and Communications, Arab International University 2 , Daraa, Syrian Arab Republic
Higher Institute of Laser Applications and Researches, Damascus University 3 , Damascus, Syrian Arab Republic
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