On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2022
- DOI:
- 10.48550/arXiv.2202.05212
- arXiv:
- arXiv:2202.05212
- Bibcode:
- 2022arXiv220205212C
- Keywords:
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- Mathematical Physics;
- Mathematics - Spectral Theory
- E-Print:
- References updated