Susy for Non-Hermitian Hamiltonians, with a View to Coherent States

被引：0
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作者：
F. Bagarello
机构：
[1] Università di Palermo,Dipartimento di Ingegneria
[2] INFN,undefined
[3] Sezione di Napoli,undefined
来源：
Mathematical Physics, Analysis and Geometry | 2020年 / 23卷
关键词：
Supersymmetic quantum mechanics; Ladder operators; Non self-adjoint hamiltonian; Gazeau-Klauder coherent states; 81Q60; 81Sxx;
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学科分类号：
摘要：
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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