Investigating the Spectral Geometry of a Soft Wall

Details Investigating the Spectral Geometry of a Soft Wall Investigating the Spectral Geometry of a Soft Wall

2011-06-06

arxiv.org/abs/1106.1162v1

Physics

Quantum Physics

16 pages,4 figures; International Conference on Spectral Geometry (Dartmouth, 2010)

Scientific paper

The idealized theory of quantum vacuum energy density is a beautiful application of the spectral theory of differential operators with boundary conditions, but its conclusions are physically unacceptable. A more plausible model of a reflecting boundary that stays within linear spectral theory confines the waves by a steeply rising potential function, which can be taken as a power of one coordinate, z^\alpha. We report investigations of this model with considerable student involvement. An exact analytical solution with some numerics for \alpha=1 and an asymptotic (semiclassical) analysis of a related problem for \alpha=2 are presented.

Affiliated with

Also associated with

No associations

Rating

Investigating the Spectral Geometry of a Soft Wall 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 Investigating the Spectral Geometry of a Soft Wall, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Investigating the Spectral Geometry of a Soft Wall will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390757