On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy
arXiv:2202.05212 · doi:10.1007/978-3-031-31139-0_13
Abstract
We estimate sums of functions of negative eigenvalues of Schrödinger-type operators whose kinetic energy vanishes on a codimension one submanifold. Our main technical tool is the Stein-Tomas theorem and some of its generalizations.
arXiv commentReferences updated; Improved Lieb-Thirring and Cwikel-Lieb-Rosenbljum inequalities (Corollary 3.3 and Theorems 3.4 and 3.8) and alternative proof for Theorem 3.4
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