Supersymmetric Method for Constructing Quasi-Exactly and   Conditionally-Exactly Solvable Potentials
  Using supersymmetric quantum mechanics we develop a new method for constructing quasi-exactly solvable (QES) potentials with two known eigenstates. This method is extended for constructing conditionally-exactly solvable potentials (CES). The considered QES potentials at certain values of parameters become exactly solvable and can be treated as CES ones. 
V.M. Tkachuk