可解势、非线性代数和相关相干态
Solvable potentials, non-linear algebras, and associated coherent states
摘要：
利用达布方法及其与超对称量子力学的关系，我们构造了谐振子的所有超对称伙伴。随着超对称变换的帮助下，我们介绍了这些合作伙伴的哈密尔顿阶梯运营商，并表明，他们关闭一个二次代数。我们构造了相关相干态并进行了详细的讨论。
英文摘要：
Using the Darboux method and its relation with supersymmetric quantum mechanics we construct all SUSY partners of the harmonic oscillator. With the help of the SUSY transformation we introduce ladder operators for these partner Hamiltonians and shown that they close a quadratic algebra. The associated coherent states are constructed and discussed in some detail.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
