Lieb—Thirring type bounds for perturbed Schrödinger operators with single-well potentials

We prove an upper bound on the sum of distances between eigenvalues a perturbed Schrödinger operator H0 − V and lowest eigenvalue H0. Our results hold for operators = −Δ V0 in one dimension with single-well potentials. rely variation well-known commutation method. In Pöschl–Teller Coulomb cases, we are able to use explicit factorizations establish improved bounds.