TWO NEW CLASSES OF CONDITIONALLY EXACTLY SOLVABLE POTENTIAL AND THEIR NONLINEAR SPECTRUM-GENERATING ALGEBRAS
两类新的条件精确可解势及其非线性谱生成代数

Using ideas of supersymmetric quantum mechanics, two new classes of conditionally exactly solvable potentials are constructed from the displaced harmonic oscillator potential. The supersymmetry as well as the space symmetry is broken in one class of them. Furthermore we construct the nonlinear spectrum-generating algebras for them.