Abstract
We show that, under very general definitions of a kinetic energy operator T, the Lieb– Thirring inequalities for sums of eigenvalues of T − V can be derived from the Sobolev inequality appropriate to that choice of T.
| Original language | English (US) |
|---|---|
| Title of host publication | XVIth International Congress on Mathematical Physics |
| Publisher | World Scientific Publishing Co. |
| Pages | 523-535 |
| Number of pages | 13 |
| ISBN (Electronic) | 9789814304634 |
| ISBN (Print) | 981430462X, 9789814304627 |
| DOIs | |
| State | Published - Jan 1 2010 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Physics and Astronomy
Keywords
- Bound states
- Schrödinger operator
- Sobolev inequality
- Stability of matter
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