Abstract
We give a Cwikel-Lieb-Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.
Original language | English (US) |
---|---|
Pages (from-to) | 107-116 |
Number of pages | 10 |
Journal | Letters in Mathematical Physics |
Volume | 82 |
Issue number | 2-3 |
DOIs | |
State | Published - Dec 2007 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Keywords
- Cwikel-Lieb-Rozenblum inequality
- Lieb-Thirring inequality
- Schrödinger operator