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A simple harmonic quantum oscillator: fractionalization and solution

Authors :
Batiha, Iqbal M.
Jebril, Iqbal H.
Al-Nana, Abeer A.
Alshorm, Shameseddin
Batiha, Iqbal M.
Jebril, Iqbal H.
Al-Nana, Abeer A.
Alshorm, Shameseddin
Source :
Mathematical Models in Engineering, Vol. 10, Issue 1, 2024, p. 26-34.; 2351-5279; 2424-4627
Publication Year :
2024

Abstract

A quantum mechanical system that mimics the behavior of a classical harmonic oscillator in the quantum domain is called a simple harmonic quantum oscillator. The time-independent Schrödinger equation describes the quantum harmonic oscillator, and its eigenstates are quantized energy values that correspond to various energy levels. In this work, we first fractionalize the time-independent Schrödinger equation, and then we solve the generated problem with the use of the Adomian decomposition approach. It has been shown that fractional quantum harmonic oscillators can be handled effectively using the proposed approach, and their behavior can then be better understood. The effectiveness of the method is validated by a number of numerical comparisons.

Details

Database :
OAIster
Journal :
Mathematical Models in Engineering, Vol. 10, Issue 1, 2024, p. 26-34.; 2351-5279; 2424-4627
Notes :
English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1432723773
Document Type :
Electronic Resource