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arXiv · 2307.11852

Noether symmetries and conservation laws of a reduced gauged bilayer graphene model

Fernando Haas
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Abstract

A canonical Hamiltonian is found for a reduced version of the Jackiw-Pi model for bilayer graphene. From the corresponding Lagrangian, the Noether point symmetries and conserved quantities are determined. The Noether symmetry group is the same as the fifth-dimensional group for the time-dependent harmonic oscillator. The realization of the algebra is achieved in terms of just one particular solution $g_1$ of the time-dependent harmonic oscillator equation underlying the reduced Jackiw-Pi model. Some numerical solutions are worked out.

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Fernando Haas. 2023-07-21. Noether symmetries and conservation laws of a reduced gauged bilayer graphene model. https://doi.org/10.1016/j.physleta.2023.129034

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