25 citations · 49 across the 9 of their papers we have counts for
9 papers
-bein formalism for degenerate states in the parameter space of quantum geometry
Jorge Romero, Carlos A Velasquez, J David Vergara
Recently, we introduced a geometric object analogous to an orthonormal frame in the Cartan formalism to study the parameter space of quantum systems; we called it -bei…
From Divergent Series to Geometry: Resurgence of the Quantum Metric
Marcos J. Hernández, Bogar Díaz, J. David Vergara
In this work, we analyze perturbative expansions of the quantum metric tensor (QMT) in anharmonic oscillators, focusing on quartic, sextic, and -dimensional models. Using high-o…
Time-dependent quantum geometric tensor and some applications
Bogar Díaz, Diego Gonzalez, Marcos J. Hernández +1
We define a time-dependent extension of the quantum geometric tensor to describe the geometry of the time-parameter space for a quantum state, by considering small variations in bo…
-bein formalism for the parameter space of quantum geometry
Jorge Romero, Carlos A. Velasquez, J David Vergara
This work introduces a geometrical object that generalizes the quantum geometric tensor; we call it -bein. Analogous to the vielbein (orthonormal frame) used in the Cartan forma…
Quantum geometry of the parameter space: a proposal for curved systems
Joshua Davy-Castillo, Javier A. Cano-Arango, Sergio B. Juárez +2
In this paper, we extend the quantum geometric tensor for parameter-dependent curved spaces to higher dimensions, and introduce an equivalent definition that generalizes the Zanard…
Parameter space geometry of the quartic oscillator and the double well potential: Classical and quantum description
Diego Gonzalez, Jorge Chávez-Carlos, Jorge G. Hirsch +1
We compute both analytically and numerically the geometry of the parameter space of the anharmonic oscillator employing the quantum metric tensor and its scalar curvature. A novel…
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…
Instanton solutions on the polymer harmonic oscillator
Joan A. Austrich Olivares, Angel Garcia-Chung, J. David Vergara
It is computed, using instanton methods, the first allowed energy band for the polymer harmonic oscillator. The result is consistent with the band structure of the standard quantum…
A Membrane Action for OM Theory
J. Antonio Garcia, Alberto Guijosa, J. David Vergara
Through direct examination of the effect of the OM limit on the M2-brane worldvolume action, we derive a membrane action for OM theory, and more generally, for the eleven-dimension…