Path Integral for Separable Hamiltonians of Liouville-type

Details Path Integral for Separable Hamiltonians of Liouville-type Path Integral for Separable Hamiltonians of Liouville-type

2002-05-23

arxiv.org/abs/hep-th/0205239v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. Published in " Fluctuating Paths and Fields", Eds. W. Janke, A. Pelster, H.J. Schmidt, and M. Bachmann (World Scient

Scientific paper

A general path integral analysis of the separable Hamiltonian of Liouville-type is reviewed. The basic dynamical principle used is the Jacobi's principle of least action for given energy which is reparametrization invariant, and thus the gauge freedom naturally appears. The choice of gauge in path integral corresponds to the separation of variables in operator formalism. The gauge independence and the operator ordering are closely related. The path integral in this formulation sums over orbits in space instead of space-time. An exact path integral of the Green's function for the hydrogen atom in parabolic coordinates is ilustrated as an example, which is also interpreted as one-dimensional quantum gravity with a quantized cosmological constant.

Affiliated with

Also associated with

No associations

Rating

Path Integral for Separable Hamiltonians of Liouville-type 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 Path Integral for Separable Hamiltonians of Liouville-type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path Integral for Separable Hamiltonians of Liouville-type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454491