Two parameters nonrelativistic delta sphere interaction in quantum mechanics

Résumé

We introduce and make a systematic study of two new exactly solvable models of two parameters nonrelativistic delta sphere  and delta -sphere plus Coulomb interactions which constitute a generalization of one parameter delta interactions. We provide the mathematical definitions of  hamiltonians and obtain new results for both model, in particular the resolvents equations, spectral properties and some  scattering quantities theory