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Using supersymmetric quantum mechanics we construct the quasi-exactlysolvable (QES) potentials with arbitrary two known eigenstates. The QESpotential and the wave functions of the two energy levels are expressed by somegenerating function the properties of which determine the state numbers ofthese levels. Choosing different generating functions we present a few explicitexamples of the QES potentials.Comment: 15 page

Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates