Simple harmonic oscillator with fractional electric potential

A. Jaradat, A. Obeidat, M. Gharaibeh, K. Aledealat, K. Khasawinah, M. Qaseer, A.A. Rousan

Abstract


In this work we demonstrate the effect of an evolved electric potential on a charged particle placed in a harmonic oscillator. The effect of the evolved potential on the wave function and energy is shown for different states. We also show how the potential itself develops fractionally.

Keywords


Fractional calculus; harmonic oscillator; Runge-Kutta method; numerov algorithm

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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