Premium
Arbitrary đâstate solutions of the KleinâGordon equation with the PöschlâTeller potential
Author(s) -
Koçak G.,
TaĆkın F.
Publication year - 2010
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201000031
Subject(s) - bound state , physics , kleinâgordon equation , hypergeometric function , eigenvalues and eigenvectors , wave function , angular momentum , mathematical physics , scalar (mathematics) , quantum number , quantum mechanics , relativistic wave equations , scalar potential , quantum , wave equation , quantum electrodynamics , mathematical analysis , mathematics , geometry , nonlinear system
Within the framework of the KleinâGordon equation, the relativistic bound states for the PöschlâTeller potential are obtained for arbitrary angular momentum quantum numbers by using an approximation for the centrifugal term. The special case for equally scalar and vector PöschlâTeller potential is studied. The energy eigenvalues are obtained in closed form and the corresponding normalized radial wave functions are expressed in terms of the generalized hypergeometric functions. The sâwave ( = 0) case and bound state conditions are also investigated.