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