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, year 67, issue 1, January-February 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, January 4, 2021.

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