On the path integrations for the Wood-Saxon and related potentials

Farid Benamira, Larbi Guechi, S. Mameri +1 more

B. Boutabia-Chéraitia, Tahar Boudjedaa

Farid Benamira, Larbi Guechi, S. Mameri +1 more

The Green’s function for a Klein–Gordon particle under the action of vector plus scalar deformed Hulthén and Woods–Saxon potentials is evaluated by exact path integration. Explicit path integration leads to the Green’s function for different shapes of the potentials. From the singularities of the latter Green’s function, the bound states are extracted. For q≥1 and (1/α)ln q<r<∞, the analytic expression of the energy spectrum and the normalized wave functions for the l states are obtained within the framework of an approximation to the centrifugal term. When the deformation parameter q is 0<q<1 or q<0, it is found that the quantization conditions are transcendental equations involving the hypergeometric function that require a numerical solution for the s-state energy levels. Particular cases of these potentials are also discussed briefly.

Nalan Kandırmaz

In this paper, we examined the treatment path integral of the PT-/non-PT Symmetric and non-Hermitian Deformed Wood Saxon Potentials. Kernel, energy sperctrums and corresponding normalized wave functions of these potentials states are obtained. We used parametric time and point transformation for constructed kernel via path integral.

Christian Grosche

Jeff Greensite