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quant-ph2025
Isospectrality and non-locality of generalized Dirac combs
Giuliano Angelone, Manuel Asorey, Fernando Ezquerro +1
We consider a generalization of Dirac's comb model, describing a non-relativistic particle moving in a periodic array of generalized point interactions. The latter represent the mo…
quant-ph2024
Classical echoes of quantum boundary conditions
Giuliano Angelone, Paolo Facchi, Marilena Ligabò
We consider a non-relativistic particle in a one-dimensional box with all possible quantum boundary conditions that make the kinetic-energy operator selfadjoint. We determine the W…
quant-ph2023
Hearing the boundary conditions of the one-dimensional Dirac operator
Giuliano Angelone
We study the isospectrality problem for a relativistic free quantum particle, described by the Dirac Hamiltonian, confined in a one-dimensional ring with a junction. We analyze all…