1-D SUSY quantum system and quasi-exact solvable problems

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作者：
Zhou, Z. [1 ]
机构：
[1] Dept. of Physics, HUST, Wuhan 430074, China
来源：
| 2001年 / Huazhong University of Science and Technology卷 / 29期
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摘要：
Superpotentials and its relevant Hamiltonian operators for one-dimensional supersymmetric (SUSY) quantum are introduced. That whether a kind of new quasi-exact solvable systems exists or not is discussed and the results of that u has a spectrum that is the same as v + 's but not the same as v - 's within the SUSY framework by using a family of potential functions. And the conditions related to both cases of the same spectrum and of the different spectrum are analyzed based on the Darboux theorem.
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