Abstract
Abstract
In this research work, an exact normalised bound eigenstate and energy eigenvalue of the Hulthen potential, for the zero angular momentum within the framework of the non-relativistic time independent Schrödinger wave equation were obtained using the Nikiforov–Uvarov method. Also, their self-adjoint differential creation and annihilation (ladder) operators were derived, andfrom the commutation relations their Casimir operator was defined. These results showed that the non-compact
S
U
(
1
,
1
)
group is the dynamical group for this exact bound state, described by the representation
D
+
(
i
)
with a spectrum bounded below.
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics