XLII Workshop on Geometric Methods in Physics Białystok, 30.06–5.07.2025 XIV School on Geometry and Physics Białystok, 23–27.06.2025

David J Fernandez C


Confluent supersymmetric algorithm for bilayer graphene


External magnetic fields leading to equidistant and partially equidistant spectra for bilayer graphene are generated through the integral and differential versions of the confluent second-order supersymmetric quantum mechanics applied to the harmonic oscillator. The Barut-Girardello and Gilmore-Perelomov coherent states for bilayer graphene are as well derived. Their evolution is analyzed, identifying cases for which time stability and cyclic evolution arise. The geometric phase and uncertainty product of the quadratures for such coherent states are as well studied.
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University of Białystok