4 papers
Quantum aspects of the classical Maxwell's equations in free space from the perspective of the correspondence principle
M. F. Araujo de Resende, Leonardo S. F. Santos, R. Albertini Silva
Due to the advent of Quantum Mechanics' 100th anniversary in 2025, we wrote this review paper in order to present a discussion that addresses the foundations of this theory. And si…
To square root the Lagrangian or not: an underlying geometrical analysis on classical and relativistic mechanical models
B. F. Rizzuti, G. F. Vasconcelos Júnior, M. A. Resende
The geodesic has a fundamental role in physics and in mathematics: roughly speaking, it represents the curve that minimizes the arc length between two points on a manifold. We anal…
Quantum Double Models coupled to matter fields: a detailed review for a dualization procedure
M. F. Araujo de Resende, J. P. Ibieta Jimenez, J. Lorca Espiro
In this paper, we investigate how it is possible to define a new class of lattice gauge models based on a dualization procedure of a previous generalization of the Kitaev Quantum D…
Non-Abelian fusion rules from Abelian systems with SPT phases and graph topological order
M. F. Araujo de Resende, J. P. Ibieta Jimenez, J. Lorca Espiro
Since Ref. [1] shows the emergence of non-Abelian fusion rules in some examples of a class of Abelian models, but does not prove whether these rules also exist in other cases, the…