15 citations · 62 across the 10 of their papers we have counts for
10 papers
Effective Quantum Mechanics of a falling particle
Guillermo Chacon-Acosta, Hector Hernandez-Hernandez, Mercedes Velazquez
We analyze the problem of one dimensional quantum particle falling in a constant gravitational field, also known as the {\it bouncing ball}, employing a semiclassical approach know…
Gauge and spacetime connections in the Plebanski formulation of complex general relativity
Diego Gonzalez, Merced Montesinos, Mercedes Velazquez
The Plebanski formulation of complex general relativity is given in terms of variables valued in the complexification of the Lie algebra. Therefore, it is genuinely a gauge…
BF gravity with Immirzi parameter and matter fields
Merced Montesinos, Mercedes Velazquez
We perform the coupling of the scalar, Maxwell, and Yang-Mills fields as well as the cosmological constant to BF gravity with Immirzi parameter. The proposed action principles empl…
Coherent states for quadratic Hamiltonians
Alonso Contreras-Astorga, David J Fernandez C, Mercedes Velazquez
The coherent states for a set of quadratic Hamiltonians in the trap regime are constructed. A matrix technique which allows to identify directly the creation and annihilation opera…
Minimally modified self-dual 2-forms gravity
Riccardo Capovilla, Merced Montesinos, Mercedes Velazquez
The first order Plebanski formulation of (complex) general relativity (GR) in terms of self-dual 2-forms admits a generalization, proposed by Krasnov, that is qualitatively differe…
BF gravity with Immirzi parameter and cosmological constant
Merced Montesinos, Mercedes Velazquez
The action principle of the BF type introduced by Capovilla, Montesinos, Prieto, and Rojas (CMPR) which describes general relativity with Immirzi parameter is modified in order to…