Upper and lower bounds to the eigenvalues of an anharmonic oscillator

TL;DR

This paper derives tight bounds for the eigenvalues of an anharmonic oscillator with a rational potential and compares these bounds with existing methods.

Contribution

It provides new tight upper and lower bounds for the eigenvalues of a specific anharmonic oscillator model.

Findings

Bounds are tighter than previous estimates.

Comparison shows improved accuracy of the bounds.

Results are applicable to quantum systems with rational potentials.

Abstract

We obtain tight upper and lower bounds to the eigenvalues of an anharmonic oscillator with a rational potential. We compare our bounds with results given by other approaches.