Abstract Fixed-energy quantum inversion method is applied to determine model independent $$\alpha $$ α -particle scattering potentials within the energy range between 0 and 50 MeV. Only experimentally allowed even phase shifts are used in calculation. Detailed results exhibited at low higher energies show up ...

In this paper, we introduce a new quantum divergence$$\Phi (X,Y) = \Tr \left[\left(\dfrac{1-\alpha}{\alpha}+ \dfrac{\alpha}{1-\alpha}\right)X+2Y - \dfrac{X^{1 -\alpha}Y^{\alpha}}{\alpha}- \dfrac{X^{\alpha}Y^{1-\alpha}}{1-\alpha} \right],$$where $0< \alpha <1$.We study the least square problem with respect to divergence. We also show that divergence satisfies Data Processing Inequa...