32 citations · 100 across the 9 of their papers we have counts for
9 papers
Theory for groupoid equivariant neural networks: an approach for steerable CNNs on bounded domains
Alberto Ibort, Maria Jimenez-Vazquez, Juan M. Perez-Pardo
Equivariant convolutional neural networks are usually built from a group acting globally on the space of signals. This hypothesis is inappropriate for many bounded or stratified do…
Quantum Control at the Boundary
A. Balmaseda, J. M. Pérez-Pardo
We present a scheme for controlling the state of a quantum system by modifying the boundary conditions. This constitutes an infinite-dimensional control problem. We provide conditi…
Huygens' principle and Dirac-Weyl equation
Saverio Pascazio, Francesco V. Pepe, Juan Manuel Pérez-Pardo
We investigate the validity of Huygens' principle for forward propagation in the massless Dirac-Weyl equation. The principle holds for odd space dimension n, while it is invalid fo…
Edge States at Phase Boundaries and Their Stability
M. Asorey, A. P. Balachandran, J. M. Perez-Pardo
We analyse the effects of Robin boundary conditions on quantum field theories of spin 0, 1 and 1/2. In particular, we show that these conditions always lead to the appearance of ed…
On the theory of self-adjoint extensions of symmetric operators and its applications to Quantum Physics
A. Ibort, J. M. Perez-Pardo
This is a series of 5 lectures around the common subject of the construction of self-adjoint extensions of symmetric operators and its applications to Quantum Physics. We will try…
On Self-adjoint extensions and symmetries in Quantum Mechanics
Alberto Ibort, Fernando Lledó, Juan Manuel Pérez-Pardo
Given a unitary representation of a Lie group on a Hilbert space , we develop the theory of -invariant self-adjoint extensions of symmetric operators both using…
Edge States: Topological Insulators, Superconductors and QCD Chiral Bags
M. Asorey, A. P. Balachandran, J. M. Perez-Pardo
The dynamics of the magnetic field in a superconducting phase is described by an effective massive bosonic field theory. If the superconductor is confined in a domain M with bounda…
Boundary Dynamics Driven Entanglement
A. Ibort, G. Marmo, J. M. Perez-Pardo
We will show how it is possible to generate entangled states out of unentangled ones on a bipartite system by means of dynamical boundary conditions. The auxiliary system is define…
Numerical Solutions of the spectral problem for arbitrary self-adjoint extensions of the 1D Schroedinger equation
Alberto Ibort, Juan Manuel Perez-Pardo
A numerical algorithm to solve the spectral problem for arbitrary self-adjoint extensions of 1D regular Schroedinger operators is presented. It is shown that the set of all self-ad…