Year: 2025
Type: article
Abstract: 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.
Author: Cemile Nur
Institution: Yalova University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406848652