3 papers
quant-ph2026
A tutorial on Dirac quantisation by analysing the problem of a ball on an inclined plane as a Hamiltonian system with constraints
M. F. Araujo de Resende, Thales Machado F
In this paper, we present a detailed review/analysis of the Dirac quantisation of Hamiltonian systems with constraints. To this end, we use, as a guide, the physical example provid…
hep-lat2022
Finite-group gauge theories on lattices as Hamiltonian systems with constraints
M. F. Araujo de Resende
In this work, we present a brief but insightful overview of the gauge theories, which are defined on -dimensional lattices by using finite gauge groups, in order to show how t…
quant-ph2017
A pedagogical overview on 2D and 3D Toric Codes and the origin of their topological orders
M. F. Araujo de Resende
In this work, we will show how the topological order of the Toric Code appears when the lattice on which it is defined discretizes a three-dimensional torus. In order to do this, w…