Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials

Cemile Nur

doi:10.15672/hujms.1542854

Araştırma Makalesi

Yıl 2025, Erken Görünüm, 1 - 21

Cemile Nur

https://doi.org/10.15672/hujms.1542854

Öz

Kaynakça

[1] F. Bagarello, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects, eds. F. Bagarello, J.P. Gazeau, F.H. Szafraniec, M. Znojil, John Wiley & Sons, Inc. 2015.

Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials

Yıl 2025, Erken Görünüm, 1 - 21

Cemile Nur

https://doi.org/10.15672/hujms.1542854

Öz

We provide some useful equations for calculating the periodic and antiperiodic eigenvalues of the one-dimensional Schrödinger operator S(q) with a special potential that is a PT-symmetric trigonometric polynomial. We even give estimates to approximate complex eigenvalues by the roots of some polynomials derived from some iteration formulas. Moreover, we give a numerical example with error estimation using Rouche's theorem.

Anahtar Kelimeler

Eigenvalue estimations, Periodic and antiperiodic boundary conditions, PT-symmetric potential

Kaynakça

[1] F. Bagarello, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects, eds. F. Bagarello, J.P. Gazeau, F.H. Szafraniec, M. Znojil, John Wiley & Sons, Inc. 2015.

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Uygulamalı Matematik (Diğer)
Bölüm	Matematik
Yazarlar	Cemile Nur 0000-0001-7375-3474
Erken Görünüm Tarihi	27 Ocak 2025
Yayımlanma Tarihi
Gönderilme Tarihi	3 Eylül 2024
Kabul Tarihi	6 Ocak 2025
Yayımlandığı Sayı	Yıl 2025 Erken Görünüm

Kaynak Göster

APA	Nur, C. (2025). Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials. Hacettepe Journal of Mathematics and Statistics1-21. https://doi.org/10.15672/hujms.1542854
AMA	Nur C. Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials. Hacettepe Journal of Mathematics and Statistics. Published online 01 Ocak 2025:1-21. doi:10.15672/hujms.1542854
Chicago	Nur, Cemile. “Estimates for Eigenvalues of Sturm--Liouville Operators With Some PT-Symmetric Potentials”. Hacettepe Journal of Mathematics and Statistics, Ocak (Ocak 2025), 1-21. https://doi.org/10.15672/hujms.1542854.
EndNote	Nur C (01 Ocak 2025) Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials. Hacettepe Journal of Mathematics and Statistics 1–21.
IEEE	C. Nur, “Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials”, Hacettepe Journal of Mathematics and Statistics, ss. 1–21, Ocak 2025, doi: 10.15672/hujms.1542854.
ISNAD	Nur, Cemile. “Estimates for Eigenvalues of Sturm--Liouville Operators With Some PT-Symmetric Potentials”. Hacettepe Journal of Mathematics and Statistics. Ocak 2025. 1-21. https://doi.org/10.15672/hujms.1542854.
JAMA	Nur C. Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials. Hacettepe Journal of Mathematics and Statistics. 2025;:1–21.
MLA	Nur, Cemile. “Estimates for Eigenvalues of Sturm--Liouville Operators With Some PT-Symmetric Potentials”. Hacettepe Journal of Mathematics and Statistics, 2025, ss. 1-21, doi:10.15672/hujms.1542854.
Vancouver	Nur C. Estimates for Eigenvalues of Sturm--Liouville Operators with some PT-Symmetric Potentials. Hacettepe Journal of Mathematics and Statistics. 2025:1-21.