Eigenvalue bounds for polynomial central potentials in d dimensions

Qutaibeh D. Katatbeh, Richard L. Hall, Nasser Saad

If a single particle obeys non-relativistic QM in R^d and has the Hamiltonian H = - Delta + f(r), where f(r)=sum_{i = 1}^{k}a_ir^{q_i}, 2\leq q_i < q_{i+1}, a_i \geq 0$, then the e…