Study of the sextic and decatic anharmonic oscillators using an interpolating scale function

Anharmonic oscillators with the sextic and decatic potentials are studied employing the refinable interpolating scale functions. This method yields highly accurate values of both energy eigenvalues and eigenfunctions for the sextic and decatic oscillator without constraining the potential parameters. Convergence of the solutions in the present method is noticed to be very fast.
Comment: A modified version is accepted for publication in EPJP