Path-integral treatment of the Hulthén potential
- 1 December 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (6) , 4621-4628
- https://doi.org/10.1103/physreva.34.4621
Abstract
An exact path-integral treatment of the s states for the Hulthén potential is presented. A procedure of the nontrivial change of variable accompanied by the local time rescaling is given in detail. The dimensional extension trick is applied to convert the radial path integral into a path integral in the SU(2) manifold. The exact energy spectrum and the normalized s-state eigenfunctions are obtained from the poles of the Green function and their residues, respectively. The Yukawa and the Coulomb limits are also discussed.Keywords
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