论文标题

苏西(Susy

Susy for non-Hermitian Hamiltonians, with a view to coherent states

论文作者

Bagarello, Fabio

论文摘要

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,则可以有用。该方法基于两个通常不同的超电势。构建了Gazeau-Klauder类型的双层状态,并分析其性质。还讨论了一些示例,包括对黑色choles方程的应用,这是金融中最重要的方程之一。

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.

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