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arxiv: quant-ph/9906028 · v1 · submitted 1999-06-09 · 🪐 quant-ph · hep-th

Path Integral Solution to Non-central Potential

classification 🪐 quant-ph hep-th
keywords potentialhamiltoniansystembeenintegralnon-centralpathsolution
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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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