42 citations · 167 across the 17 of their papers we have counts for
17 papers
Scaling Symmetry in Symplectic Thermodynamics
M. C. Baldiotti, R. Fresneda
This paper investigates scaling symmetry in thermodynamics by unifying constrained Hamiltonian dynamics with symplectic and contact geometries. Through the mathematical processes o…
Vortex Fractional Fermion Number through Heat Kernel methods and Edge States
Sylvain Fichet, Rodrigo Fresneda, Lucas de Souza +1
Computing the vacuum expectation of fermion number operator on a soliton background is often challenging. A recent proposal in arXiv:2305.13606 simplifies this task by considering…
Edge states and the invariant
Rodrigo Fresneda, Lucas de Souza, Dmitri Vassilevich
We propose a relation between the invariant on a manifold with boundary, the invariants of edge states, and the invariant in an infinite volume limit. With the example…
Non-topological fractional fermion number in the Jackiw-Rossi model
Caio Almeida, Alberto Alonso-Izquierdo, Rodrigo Fresneda +2
We compute the vacuum fermion current in dimensional Jackiw-Rossi model by using the expansion. The current is expressed through a weighted -function with a matrix…
Classical-quantum correspondence for two-level pseudo-Hermitian systems
K. Raimundo, M. C. Baldiotti, R. Fresneda +1
In this work, a classical-quantum correspondence for two-level pseudo-Hermitian systems is proposed and analyzed. We show that the presence of a complex external field can be descr…
Soliton Fermionic number from the heat kernel expansion
A. Alonso-Izquierdo, R. Fresneda, J. Mateos Guilarte +1
We consider different methods of calculating the (fractional) fermion number of solitons based on the heat kernel expansion. We derive a formula for the localized eta function a mo…