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