Abstract
References
- [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.
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.
Keywords
Eigenvalue estimations Periodic and antiperiodic boundary conditions PT-symmetric potential
References
- [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.
Details
| Primary Language | English |
|---|---|
| Subjects | Applied Mathematics (Other) |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | January 27, 2025 |
| Publication Date | |
| Submission Date | September 3, 2024 |
| Acceptance Date | January 6, 2025 |
| Published in Issue | Year 2025 Early Access |