Authors: Spiros Konstantogiannis
Among the one-dimensional, smooth and real polynomial potentials, the sextic anharmonic oscillator is the only one that can be quasi-exactly solved [6, 7], in the sense that it is expressed in terms of a non-negative integer n and for every value of n, we can find n+1 energies and the respective eigenfunctions in closed form. In this work, we use, as basic parameter, the constant term of a quotient polynomial , to quasi-exactly solve the sextic anharmonic oscillator and demonstrate that the new parameter is a preferential one to study the system, as it makes the analysis straightforward and transparent.
Comments: 33 Pages.
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