Ground State Energy Eigenvalues of an Octic Oscillator with Quartic and Sextic Anharmonicities

Abstract

Here we derive the energy eigenvalues of an octic anhormonic oscillator that also has quartic and sextic anharmonic terms using Ginsberg-Montroll method. Numerical values are computed using Mathematica for different values of the anharmonic coefficients.

Constrained extrapolation problem and order-dependent mappings

“…Results from MaxEnt and Padé approximants for the inverse of the octic oscillator function f (g) are compared to the exact 1/f (g) for different perturbation orders N and g ∈ {0.001, 0.01, 0.1, 0.5, 1, 10}. The exact results are taken from Refs [23,40,41]…”