Path integral solution of noncentral potential

Authors
Citation
Bp. Mandal, Path integral solution of noncentral potential, INT J MOD P, 15(8), 2000, pp. 1225-1234
Citations number
18
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
15
Issue
8
Year of publication
2000
Pages
1225 - 1234
Database
ISI
SICI code
0217-751X(20000330)15:8<1225:PISONP>2.0.ZU;2-M
Abstract
We have studied the path integral solution of a system of particle moving i n a certain class of noncentral potential without using the Kustannheimo-St iefel transformation. The Hamiltonian of the system has been converted to a separable Hamiltonian of Liouville type in parabolic coordinates and has f urther reduced to a Hamiltonian corresponding to two two-dimensional simple harmonic oscillators. The energy spectrum for this system is calculated an alytically. The Hartmann ring-shaped potential and compound Coulomb plus th e Aharanov-Bohm potential have also been studied as special cases.