Using the NU method [A.F.Nikiforov, V.B.Uvarov, Special Functions of Mathematical Physics, Birkhauser,Basel,1988], we investigated the real eigenvalues of the complex and/or P T -symmetric, non-Hermitian and the exponential type systems, such as Pöschl-Teller and Morse potentials.
The solutions of trigonometric Scarf potential, PT/non-PT-symmetric and non-Hermitian q-deformed hyperbolic Scarf and Manning-Rosen potentials are obtained by solving the Schrödinger equation.The Nikiforov-Uvarov method is used to obtain the real energy spectra and corresponding eigenfunctions.
We present a supersymmetric analysis for the d-dimensional Schrödinger equation with the generalized isotonic nonlinear-oscillator potential V (r) = B 2 /r 2 + ω 2 r 2 + 2g(r 2 − a 2 )/(r 2 + a 2 ) 2 , B ≥ 0. We show that the eigenequation for this potential is exactly solvable provided g = 2 and (ωa 2 ) 2 = B 2 + (ℓ + (d − 2)/2) 2 . Under these conditions, we obtain explicit formulae for all the energies and normalized bound-state wavefunctions.
A general form of the effective mass Schrödinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
We have studied a relativistic electron in the presence of a uniform magnetic field and scalar potential in the cosmic string spacetime. The exact solutions of the Dirac equation with a Coulomb-like scalar potential and linear vector potential through the gravitational fields are found using SU (1, 1) Lie algebras.keyword: relativistic particle, Dirac equation, curved spacetime, SU(1,1)
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.