Universal forms for one-dimensional quantum Hamiltonians: a comparison of the SUSY and the de la Peña factorization approaches.
Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities
We show that phase space bounds on the eigenvalues of Schr¨odinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb– Thirring inequalities.