38 citations · 153 across the 11 of their papers we have counts for
11 papers
Multiple Nonlinear Waves by (Quantum) Neural Networks: Checking the AI supremacy
Luigi Martina, Riccardo Caricato, Riccardo Della Torre
To test the potential of so-called quantum physics-informed neural network (QPINN) technology for solving evolutionary partial differential equations, we consider the problem of mu…
Waves in the Skyrme--Faddeev model and integrable reductions
L. Martina, M. V. Pavlov, S. A. Zykov
In the present article we show that the Skyrme--Faddeev model possesses nonlinear wave solutions, which can be expressed in terms of elliptic functions. The Whitham averaging metho…
Correlation Energy and Entanglement Gap in Continuous Models
L. Martina, G. Ruggeri, G. Soliani
Our goal is to clarify the relation between entanglement and correlation energy in a bipartite system with infinite dimensional Hilbert space. To this aim we consider the completel…
Entanglement of electrons in interacting molecules
Tina A. C. Maiolo, Fabio Della Sala, Luigi Martina +1
Quantum entanglement is a concept commonly used with reference to the existence of certain correlations in quantum systems that have no classical interpretation. It is a useful res…
Comments on spin-orbit interaction of anyons
P A Horvathy, L. Martina, P. Stichel
The coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field is considered. Anomalous coupling is introduced by adding a spin-orbit term to the Lag…
Symmetries of field theories on the non-commutative plane
P. A. Horvathy, L. Martina, P. C. Stichel
New developments on the symmetries of non-relativistic field theoretical models on the non commutative plane are reviewed. It is shown in particular that Galilean invariance strong…