Upper Bound For The Ratios Of Eigenvalues Of Schrodinger Operators With Nonnegative Single-Barrier Potentials

Jamel Ben Amara, Jihed Hedhly

In this paper we prove the optimal upper bound $\frac{{\lambda }_n}{{\lambda }_m}\le \frac{n^2}{m^2}$ $({\lambda }_n>{\lambda }_m\ge 11\underset{x\in [0,1]}{\sup }q(x))$ for one-dimensional Schrodinge…