activity
20062009
most citedThe time-dependent quantum harmonic oscillator revisited: Applications to Quantum Field Theory

37 citations · 99 across the 7 of their papers we have counts for

collaborators

7 papers

gr-qc2009

Classical and Quantum Formulations of S1xS2 and S3 Gowdy Models Coupled with Matter

Daniel Gómez Vergel

We explore the features of gravity in its quantum regime in a mathematically rigorous way by carrying out the classical and quantum formulations of some two-Killing symmetry reduct…

math-ph2009★ 37 cited

The time-dependent quantum harmonic oscillator revisited: Applications to Quantum Field Theory

Daniel Gómez Vergel, Eduardo J. S. Villaseñor

In this article, we formulate the study of the unitary time evolution of systems consisting of an infinite number of uncoupled time-dependent harmonic oscillators in mathematically…

gr-qc2008★ 4 cited

Schrodinger quantization of linearly polarized Gowdy and models coupled to massless scalar fields

Daniel Gómez Vergel

In this paper we will construct the Schrodinger representation for the linearly polarized Gowdy and models coupled to massless scalar fields. Here the quantum…

gr-qc2007★ 7 cited

Unitary evolution of free massless fields in de Sitter space-time

Daniel Gómez Vergel, Eduardo J. S. Villaseñor

We consider the quantum dynamics of a massless scalar field in de Sitter space-time. The classical evolution is represented by a canonical transformation on the phase space for the…

gr-qc2007★ 24 cited

Quantum unitary evolution of linearly polarized S^1\times S^2 and S^3 Gowdy models coupled to massless scalar fields

J. Fernando Barbero G., Daniel Gómez Vergel, Eduardo J. S. Villaseñor

The purpose of this paper is to study in detail the problem of defining unitary evolution for linearly polarized S^1 x S^2 and S^3 Gowdy models (in vacuum or coupled to massless sc…

gr-qc2007★ 13 cited

Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields

J. Fernando Barbero G., Daniel Gómez Vergel, Eduardo J. S. Villaseñor

The purpose of this paper is to analyze in detail the Hamiltonian formulation for the compact Gowdy models coupled to massless scalar fields as a necessary first step towards their…