3 papers
quant-ph2026
Bound States and Resonance Analysis of One-Dimensional Relativistic Parity-Symmetric Two Point Interactions
Carlos A. Bonin, Manuel Gadella, José T. Lunardi +1
We consider the one-dimensional Dirac equation with the most general relativistic contact interaction supported on two points symmetrically located with respect to the origin. In o…
math-ph2025
Planar Dirac equation with radial contact potentials
J. T. Lunardi, S. Salamanca, J. Negro +1
We investigate the planar Dirac equation with the most general time-independent contact (singular) potential supported on a circumference. Taking advantage of the radial symmetry,…
math-ph2025
The one-dimensional Coulomb Hamiltonian: Properties of its Birman-Schwinger operator
S. Fassari, M. Gadella, J. T. Lunardi +2
We study the Birman-Schwinger operator for a self-adjoint realisation of the one-dimensional Hamiltonian with the Coulomb potential. We study both the case in which this Hamiltonia…