On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy

Fuente: arXiv
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Main Authors: Cuenin, Jean-Claude, Merz, Konstantin
Format: Preprint
Published: 2022
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author Cuenin, Jean-Claude
Merz, Konstantin
author_facet Cuenin, Jean-Claude
Merz, Konstantin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2202_05212
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy
Cuenin, Jean-Claude
Merz, Konstantin
Mathematical Physics
Spectral Theory
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.
title On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy
topic Mathematical Physics
Spectral Theory
url https://arxiv.org/abs/2202.05212