Two parameters nonrelativistic sphere interaction in quantum mechanics

Alfred Vyabandi

  • Alfred Vyabandi
Mots-clés: équation résolvante, propriétés spectrales, théorie de diffusion


We introduce and make a systematic study of two new exactly solvable models of two parameters nonrelativistic  plus Coulomb interactions which constitute a generalization of one parameter interactions formally. 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.