- 01-324 A. Bouzouina
- Stability of the 2D Brown-Ravenhall operator
Sep 10, 01
(auto. generated ps),
of related papers
Abstract. We prove that the two-dimensional Brown-Ravenhall operator is bounded
from below when the coupling constant is below a specified critical value --- property also referred to as stability.
As a consequence, the operator is then self-adjoint. The proof is based on the strategy followed by Lieb and Yau [LY] and by Evans, Perry and Siedentop [EPS] with some relevant changes characteristic of the dimension. Our analysis also yields a sharp Kato inequality.