Semi-classical Green kernel asymptotics for the Dirac operator

Details Semi-classical Green kernel asymptotics for the Dirac operator Semi-classical Green kernel asymptotics for the Dirac operator

2010-10-07

arxiv.org/abs/1010.1433v1

Comm. Part. Diff. Eqs. 36(11): 1945--1987, 2011

Physics

Mathematical Physics

46 pages

Scientific paper

10.1080/03605302.2011.600799

We consider a semi-classical Dirac operator in arbitrary spatial dimensions with a smooth potential whose partial derivatives of any order are bounded by suitable constants. We prove that the distribution kernel of the inverse operator evaluated at two distinct points fulfilling a certain hypothesis can be represented as the product of an exponentially decaying factor involving an associated Agmon distance and some amplitude admitting a complete asymptotic expansion in powers of the semi-classical parameter. Moreover, we find an explicit formula for the leading term in that expansion.

Affiliated with

Also associated with

No associations

Rating

Semi-classical Green kernel asymptotics for 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 Semi-classical Green kernel asymptotics for the Dirac operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semi-classical Green kernel asymptotics for the Dirac operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-509680