Modifiye Edilmiş Coulomb Potansiyelli Conformable Sturm-Liouville Problemi

Yıl 2020, Cilt: 7 Sayı: 2, 698 - 713, 30.12.2020

Erdal Baş İsam Najemadeen

https://doi.org/10.35193/bseufbd.668272

Öz

Bu makalede, modifiye edilmiş Coloumb Potansiyele sahip Sturm Liouville probleminin uyumlu mertebeli versiyonu elde edilmiştir. Çalışılan sistem sınır koşullarıyla Sturm Liouville operatörünün uyumlu türevli daha genel bir formatı ispatlanmıştır. Ayrıca, gözününe alınan bu problem için özdeğerlerin reeliği ve özfonksiyonların α- ortoganalliğini ispatlamıştır. İlaveten modifiye edilmiş Coloumb Potansiyele sahip Sturm Liouville problemin çözümünün görüntüsü bulunmuştur. Sonuçlar grafiklerle karşılaştırmalı olarak gösterilmiştir.

Anahtar Kelimeler

Conformable türev, Coulomb potansiyeli, Özdeğer, Özfonksiyonlar, Spektral

Conformable Sturm-Liouville Problem with Modified Coulomb Potential

Öz

In this paper, Conformable derivative order version of the Sturm-Liouville problem having modified Coulomb potential is obtained. The studied system proves the shape of the conformable derivative general statement of the Sturm-Liouville operator with boundary conditions. Furthermore, real of eigenvalues and α-orthogonal of eigenfunctions have been proved for the problem considered. Additionally, the representation of the solution of the Sturm-Liouville problem having modified Coulomb potential is found. The results are shown comparatively by figures.

Anahtar Kelimeler

Conformable derivative, Eigenvalue, Eigenfunctions, Spectral, Coulomb potential

Kaynakça

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