We propose an extended version of supersymmetric quantum mechanics which can be useful if the Hamiltonian of the physical system under investigation is not Hermitian. The method is based on the use of two, in general different, superpotentials. Bi-coherent states of the Gazeau-Klauder type are constructed and their properties are analyzed. Some examples are also discussed, including an application to the Black-Scholes equation, one of the most important equations in Finance.

中文翻译：

---

非厄米哈密顿量的 Susy，着眼于相干状态

我们提出了超对称量子力学的扩展版本，如果所研究的物理系统的哈密顿量不是 Hermitian，则该版本会很有用。该方法基于使用两种通常不同的超电势。构造了 Gazeau-Klauder 型的双相干态并分析了它们的性质。还讨论了一些示例，包括 Black-Scholes 方程的应用，这是金融中最重要的方程之一。