van Vleck determinants: geodesic focussing and defocussing in Lorentzian spacetimes

Details van Vleck determinants: geodesic focussing and defocussing in Lorentzian spacetimes van Vleck determinants: geodesic focussing and defocussing in Lorentzian spacetimes

1993-03-03

arxiv.org/abs/hep-th/9303020v1

Phys.Rev. D47 (1993) 2395-2402

Physics

High Energy Physics

High Energy Physics - Theory

plain LaTeX, 18 pages

Scientific paper

10.1103/PhysRevD.47.2395

The van Vleck determinant is an ubiquitous object, arising in many physically interesting situations such as: (1) WKB approximations to quantum time evolution operators and Green functions. (2) Adiabatic approximations to heat kernels. (3) One loop approximations to functional integrals. (4) The theory of caustics in geometrical optics and ultrasonics. (5) The focussing and defocussing of geodesic flows in Riemannian manifolds. While all of these topics are interrelated, the present paper is particularly concerned with the last case and presents extensive theoretical developments that aid in the computation of the van Vleck determinant associated with geodesic flows in Lorentzian spacetimes. {\sl A fortiori} these developments have important implications for the entire array of topics indicated. PACS: 04.20.-q, 04.20.Cv, 04.60.+n. To appear in Physical Review D47 (1993) 15 March.

Affiliated with

Also associated with

No associations

Rating

van Vleck determinants: geodesic focussing and defocussing in Lorentzian spacetimes 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 van Vleck determinants: geodesic focussing and defocussing in Lorentzian spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and van Vleck determinants: geodesic focussing and defocussing in Lorentzian spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-328972