| 两类新的条件精确可解势及其非线性谱生成代数 |
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| 引用本文： | 马 涛,倪致祥.两类新的条件精确可解势及其非线性谱生成代数[J].物理学报,1999,48(6):987-991. |
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| 作者姓名： | 马 涛 倪致祥 |
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| 作者单位： | 阜阳师范学院物理系，安徽阜阳 236032 |
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| 基金项目： | 安徽省教育委员会资助的课题. |
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| 摘 要： | 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.
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| 关 键 词： | 精确可解势 量子力学 非线性 谱生成代数 |
| 收稿时间： | 1998-04-13 |
TWO NEW CLASSES OF CONDITIONALLY EXACTLY SOLVABLE POTENTIAL AND THEIR NONLINEAR SPECTRUM-GENERATING ALGEBRAS |
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| MA TAO and NI ZHI-XIANG.TWO NEW CLASSES OF CONDITIONALLY EXACTLY SOLVABLE POTENTIAL AND THEIR NONLINEAR SPECTRUM-GENERATING ALGEBRAS[J].Acta Physica Sinica,1999,48(6):987-991. |
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| Authors: | MA TAO and NI ZHI-XIANG |
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| Abstract: | 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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