  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.
