The Klein–Gordon equation of generalized Hulthén potential in complex quantum mechanics
Open Access
- 29 March 2004
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 37 (15), 4379-4393
- https://doi.org/10.1088/0305-4470/37/15/007
Abstract
We have investigated the reality of exact bound states of complex and/or PT-symmetric non-Hermitian exponential-type generalized Hulthén potential. The Klein–Gordon equation has been solved by using the Nikiforov–Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type. In many cases of interest, negative and positive energy states have been discussed for different types of complex potentials.Keywords
Other Versions
This publication has 51 references indexed in Scilit:
- Complex Extension of Quantum MechanicsPhysical Review Letters, 2002
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetriesJournal of Mathematical Physics, 2002
- Complex WKB analysis of energy-level degeneracies of non-Hermitian HamiltoniansJournal of Physics A: General Physics, 2001
- 𝒫𝒯-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentialsJournal of Physics A: General Physics, 2000
- Polynomial Solutions of the Schrödinger Equation for the “Deformed” Hyperbolic Potentials by Nikiforov–Uvarov MethodPhysica Scripta, 1999
- Non-Hermitian localization and population biologyPhysical Review E, 1998
- Vortex pinning and non-Hermitian quantum mechanicsPhysical Review B, 1997
- Localization Transitions in Non-Hermitian Quantum MechanicsPhysical Review Letters, 1996
- An improved calculation for screened Coulomb potentials in Rayleigh-Schrodinger perturbation theoryJournal of Physics A: General Physics, 1985
- Supersymmetric Quantum Mechanics and Large-ExpansionsPhysical Review Letters, 1985