Article citationsMore>>

Behrndt, J., Exner, P., Holzmann, M. and Lotoreichik, V. (2018) On the Spectral Properties of Dirac Operators with Electrostatic δ-Shell Interactions. Journal de Mathématiques Pures et Appliquées, 111, 47-78.
https://doi.org/10.1016/j.matpur.2017.07.018

has been cited by the following article:

• TITLE: Exactly Solvable Two-Parameter Models of Relativistic δ ′ s -Sphere Interactions in Quantum Mechanics

  AUTHORS: Jules Manirambona, Juma Shabani, Alfred Vyabandi

  KEYWORDS: Boundary Conditions Problem, -Sphere Interactions, Self-Adjoint Operator, Resolvent Equation, Spectral Properties, Scattering Theory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.4, April 29, 2024

  ABSTRACT: We make a systematic study of two-parameter models of δ ′ s -sphere interaction and δ ′ s -sphere plus a Coulomb interaction. Where δ ′ s interaction denotes the δ ′ -sphere interaction of the second kind. We provide the mathematical definitions of Hamiltonians and obtain new results for both models, in particular the resolvents equations, spectral properties and some scattering quantities.