15 citations · 37 across the 4 of their papers we have counts for
5 papers
Phase space formulation of the Abelian and non-Abelian quantum geometric tensor
Diego Gonzalez, Daniel Gutierrez-Ruiz, J. David Vergara
The geometry of the parameter space is encoded by the quantum geometric tensor, which captures fundamental information about quantum states and contains both the quantum metric ten…
Classical analog of the quantum metric tensor
Diego Gonzalez, Daniel Gutiérrez-Ruiz, J. David Vergara
We present a classical analog of the quantum metric tensor, which is defined for classical integrable systems that undergo an adiabatic evolution governed by slowly varying paramet…
Relativistic Runge-Lenz vector: from SYM to SO(4) scalar field theory
J. Alvarez-Jimenez, I. Cortese, J. Antonio García +2
Starting from SYM and using an appropriate Higgs mechanism we reconsider the construction of a scalar field theory non-minimally coupled to a Coulomb potential with a…
Dirac's formalism for time-dependent Hamiltonian systems in the extended phase space
Angel Garcia-Chung, Daniel Gutiérrez Ruiz, J. David Vergara
The Dirac's formalism for constrained systems is applied to the analysis of time-dependent Hamiltonians in the extended phase space. We show that the Lewis invariant is a reparamet…
Nongauge bright soliton of the nonlinear Schrodinger (NLS) equation and a family of generalized NLS equations
M. A. Reyes, D. Gutierrez-Ruiz, S. C. Mancas +1
We present an approach to the bright soliton solution of the NLS equation from the standpoint of introducing a constant potential term in the equation. We discuss a `nongauge' brig…