Physics – Quantum Physics
Scientific paper
2006-09-07
Phys.Part.Nucl.38:525-563,2007
Physics
Quantum Physics
Scientific paper
10.1134/S1063779607050012
This is the second paper on the path integral approach of superintegrable systems on Darboux spaces, spaces of non-constant curvature. We analyze in the spaces $\DIII$ and $\DIV$ five respectively four superintegrable potentials, which were first given by Kalnins et al. We are able to evaluate the path integral in most of the separating coordinate systems, leading to expressions for the Green functions, the discrete and continuous wave-functions, and the discrete energy-spectra. In some cases, however, the discrete spectrum cannot be stated explicitly, because it is determined by a higher order polynomial equation. We show that also the free motion in Darboux space of type III can contain bound states, provided the boundary conditions are appropriate. We state the energy spectrum and the wave-functions, respectively.
Grosche Christian
Pogosyan George
Sissakian Alexei
No associations
LandOfFree
Path Integral Approach for Superintegrable Potentials on Spaces of Non-constant Curvature: II. Darboux Spaces DIII and DIV 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 Approach for Superintegrable Potentials on Spaces of Non-constant Curvature: II. Darboux Spaces DIII and DIV, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path Integral Approach for Superintegrable Potentials on Spaces of Non-constant Curvature: II. Darboux Spaces DIII and DIV will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-112575