116 citations · 482 across the 33 of their papers we have counts for
4 papers · 1 filter
Dendrites and conformal symmetry
Juan M. Romero, Carlos Trenado
Progress toward characterization of structural and biophysical properties of neural dendrites together with recent findings emphasizing their role in neural computation, has propel…
Exact solution to Fick-Jacobs equation
Juan M. Romero, O. González-Gaxiola, G. Chacón-Acosta
A relation between Fick-Jacobs and Schrödinger equation is shown. When the diffusion coefficient is constant, exact solutions for Fick-Jacobs equation are obtained. Using a change…
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…
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…