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math-ph2010★ 3 cited
The Black-Scholes Equation and Certain Quantum Hamiltonians
Juan M. Romero, O. Gonzalez-Gaxiola, J. Ruiz de Chavez +1
In this paper a quantum mechanics is built by means of a non-Hermitian momentum operator. We have shown that it is possible to construct two Hermitian and two non-Hermitian type of…
math-ph2010
PT-Rotations, PT-Spherical Harmonics and the PT-Hydrogen Atom
Juan M. Romero, R. Bernal-Jaquez, O. Gonzalez-Gaxiola
We have constructed a set of non-Hermitian operators that satisfy the commutation relations of the SO(3)-Lie algebra. It is shown that this operators generate rotations in the conf…