A Moments' Analysis of Quasi-Exactly Solvable Systems: A New Perspective on the Sextic Anharmonic and Bender-Dunne Potentials

Carlos R. Handy, Daniel Vrinceanu, Rahul Gupta

There continues to be great interest in understanding quasi-exactly solvable (QES) systems. In one dimension, QES states assume the form $\Psi (x)=x^{\gamma }{P}_d(x)\mathcal{A}(x)$, where ${\cal…