Resolvent estimates of the Dirac operator

Details Resolvent estimates of the Dirac operator Resolvent estimates of the Dirac operator

1999-02-14

arxiv.org/abs/math/9902084v1

Analysis 15 (1995) 123-149

Mathematics

Spectral Theory

28 pages, no figures

Scientific paper

We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that the norm of R(s), as a bounded operator between two weighted Hilbert spaces of square integrable functions on the 3-dimensional Euclidean space, stays bounded. Also we shall show that R(s) converges 0 strongly as |s| increases to infinity. This result and a result of Yamada [15] are combined to indicate that the extended resolvent of the Dirac operator decays much more slowly than those of Schroedinger operators.

Affiliated with

Also associated with

No associations

Rating

Resolvent estimates of the Dirac operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Resolvent estimates of the Dirac operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resolvent estimates of the Dirac operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625102