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.