Spectral bounds for the Hellmann potential

Abstract

The method of potential envelopes is used to analyse the bound state spectrum of the Schroedinger Hamiltonian H=-Δ+V(r), where the Hellmann potential is given by V(r) = -A/r + Be^{-Cr}/r, A and C are positive, and B can be positive or negative. We established simple formulas yielding upper and lower bounds for all the energy eigenvalues.

9 pages, 2 figures, typos corrected

References in corpus (1)

• Spectral bounds for the Hellmann potential

Cited by in corpus (5)

• Probing new physics using Rydberg states of atomic hydrogen
• Spectral bounds for the Hellmann potential
• Nodal theorems for the Dirac equation in d >= 1 dimensions
• The Spinless Relativistic Hellmann Problem
• PT-/non-PT-Symmetric and non-Hermitian Hellmann Potential: Approximate Bound and Scattering States with Any $\ell$-Values