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从平移的谐振子势出发,利用超对称量子力学构造出两类新的条件精确可解势,其中一类同时出现超对称性和空间对称性的破缺.此外,还构造出了这两类新可解势的非线性谱生成代数.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.
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