6 citations · 10 across the 3 of their papers we have counts for
3 papers
cond-mat.mes-hall2024★ 6 cited
Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations
Vit Jakubsky, Kevin Zelaya
We introduce a systematic method to spectrally design quasi-one-dimensional crystal models described by the Dirac equation in the low-energy regime. The method is based on the supe…
quant-ph2023★ 4 cited
Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions
Vit Jakubsky, Kevin Zelaya
This manuscript explores the Darboux transformation employed in the construction of exactly solvable models for pseudospin-one particles described by the Dirac-type equation. We fo…
quant-ph2021
Form-preserving Darboux transformations for Dirac equations
M. Castillo-Celeita, V. Jakubský, K. Zelaya
Darboux transformation is a powerful tool for the construction of new solvable models in quantum mechanics. In this article, we discuss its use in the context of physical systems d…