Path Integral Solution to Non-central Potential

Details Path Integral Solution to Non-central Potential Path Integral Solution to Non-central Potential

1999-06-09

arxiv.org/abs/quant-ph/9906028v1

Int.J.Mod.Phys. A15 (2000) 1225-1234

Physics

Quantum Physics

Latex, 14 pages, No figs. To appear in IJMPA,1999

Scientific paper

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.

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