dorsal/arxiv
View SchemaPath Integral Solution to Non-central Potential
| Authors | Bhabani Prasad Mandal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906028 |
| URL | https://arxiv.org/abs/quant-ph/9906028 |
| Journal | Int.J.Mod.Phys. A15 (2000) 1225-1234 |
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.
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"abstract": "We have studied the path integral solution of a system of particle moving in\ncertain class of non-central potential without using Kustannheimo-Stiefel\ntransformation. The Hamiltonian of the system has been converted to a separable\nHamiltonian of Liouville type in parabolic coordinates and has further reduced\nto a Hamiltonian corresponding to two 2- dimensional simple harmonic\noscillators. The energy spectrum for this system is calculated analytically.\nHartmann ring-shaped potential and compound Coulomb plus Aharanov- Bohm\npotential have also been studied as special cases.",
"arxiv_id": "quant-ph/9906028",
"authors": [
"Bhabani Prasad Mandal"
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"hep-th"
],
"journal_ref": "Int.J.Mod.Phys. A15 (2000) 1225-1234",
"title": "Path Integral Solution to Non-central Potential",
"url": "https://arxiv.org/abs/quant-ph/9906028"
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