Category Middle East Technical University

PT-/non-PT-Symmetric and non-Hermitian Hellmann Potential: Approximate Bound and Scattering States with Any \(\ell\)-Values

Altug Arda, Ramazan Sever

We investigate the approximate bound state solutions of the Schrodinger equation for the PT-/non-PT-symmetric and non Hermitian Hellmann potential. Exact energy eigenvalues and corresponding normalized wave functions are obtained. Numerical values of energy eigenvalues for the bound states are compared with the ones obtained before. Scattering state solutions are also studied. Phase shifts of the potential are written in terms of the angular momentum quantum number \(\ell\).

http://arxiv.org/abs/1409.0518
Quantum Physics (quant-ph)

Path Integral Solution of PT-/non-PT-Symmetric and non-Hermitian Hulthen Potential

N. Kandirmaz, R. Sever

The wave functions and the energy spectrum of PT-/non-PT-Symmetric and non-Hermitian Hulthen potential are of an exponential type and are obtained via the path integral. The path integral is constructed using parametric time and point transformation.

http://ctn.cvut.cz/ap/download.php?id=572