Path Integral Solution to Non-central Potential
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Abstract
We have studied the path integral solution of a system of particle moving in certain class of non-central potential without using Kustannheimo-Stiefel transformation. The Hamiltonian of the system has been converted to a separable Hamiltonian of Liouville type in parabolic coordinates and has further reduced to a Hamiltonian corresponding to two 2- dimensional simple harmonic oscillators. The energy spectrum for this system is calculated analytically. Hartmann ring-shaped potential and compound Coulomb plus Aharanov- Bohm potential have also been studied as special cases.
Keywords
Cite
@article{arxiv.quant-ph/9906028,
title = {Path Integral Solution to Non-central Potential},
author = {Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:quant-ph/9906028},
year = {2007}
}
Comments
Latex, 14 pages, No figs. To appear in IJMPA,1999