4 papers
On Noncommutative Quantum Mechanics and the Black-Scholes Model
Abraham Espinoza-García, Pablo Vega-Lara, Luis Rey Díaz-Barrón +1
Two novel and direct quantum mechanical representations of the Black-Scholes model are constructed based on the (Wick-rotated) quantization of two specific mechanical systems. The…
Noncommutative Effective LQC: inclusion of potential term
Luis Rey Díaz-Barrón, Abraham Espinoza-García, S. Pérez-Payán +1
We construct and study a simple noncommutative scheme (theta-deformation) for the effective Loop Quantum Cosmology of the flat Friedmann-Lemaître-Robertson-Walker model in the pres…
Cosmological volume acceleration in dust epoch: using scaling solutions and variable cosmological term within an anisotropic cosmological model
J. Socorro, S. Pérez-Payán, Abraham Espinoza-García +1
Under the premise that the current observations of the cosmic microwave background radiation set a very stringent limit to the anisotropy of the universe, we consider an anistropic…
Noncommutative Friedmann Equations in Effective LQC
Luis Rey Díaz-Barrón, Abraham Espinoza-García, S. Pérez-Payán +1
In this work we construct a noncommutative version of the Friedmann equations in the framework of effective loop quantum cosmology, extending and applying the ideas presented in a…