3 papers
quant-ph2025
Classical and quantum dynamics of a particle confined in a paraboloidal cavity
Ángel E. Reyna-Cruz, Julio C. Gutiérrez-Vega
We present a classical and quantum analysis of a particle confined in a three-dimensional paraboloidal cavity formed by two confocal paraboloids. Classically, the system is integra…
quant-ph2025
Spectral analysis of the Koopman operator as a framework for recovering Hamiltonian parameters in open quantum systems
Jorge E. Pérez-García, Carlos Colchero, Julio C. Gutiérrez-Vega
Accurate identification of Hamiltonian parameters is essential for modeling and controlling open quantum systems. In this work, we demonstrate that the multichannel Hankel alternat…
nlin.PS2018
Soliton dynamics in finite nonlocal media with cylindrical symmetry
Emmanuel Garza, Servando Lopez-Aguayo, Julio C. Gutiérrez-Vega
The effect of finite boundaries in the propagation of spatial nonlocal solitons in media with cylindrical symmetry is analyzed. Using Ehrenfest's theorem together with the Green's…