Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method

Abstract

The one-dimensional Dirac equation is solved for the PT-symmetric generalized Hulthen potential. The Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions.

arXiv comment18 pages including 4 figures,to be published in Phys.Lett.A

References in corpus (37)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Localization transitions in non-Hermitian quantum mechanics
• PT-Symmetric Quantum Mechanics
• Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
• Schrödinger operators with complex potential but real spectrum
• Non-Hermitian Localization and Population Biology
• Complex periodic potentials with real band spectra
• sl(2, C) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• A PT-Invariant Potential With Complex QES Eigenvalues
• On the reality of the eigenvalues for a class of PT-symmetric oscillators
• Large-order Perturbation Theory for a Non-Hermitian PT-symmetric Hamiltonian
• Solution of Schwinger-Dyson Equations for $\mathcal{P}\mathcal{T}$-Symmetric Quantum Field Theory
• Exact solution for Morse oscillator in PT-symmetric quantum mechanics
• Space of State Vectors in PT Symmetrical Quantum Mechanics
• Pseudo-Hermiticity of Hamiltonians under imaginary shift of the co-ordinate : real spectrum of complex potentials
• Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework
• Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
• Weak pseudo-Hermiticity and antilinear commutant
• Complex Calogero model with real energies
• Quantum Complex Henon-Heiles Potentials
• Numerical Evidence that the Perturbation Expansion for a Non-Hermitian $\mathcal{P}\mathcal{T}$-Symmetric Hamiltonian is Stieltjes
• Complex Optical Potentials and Pseudo-Hermitian Hamiltonians
• On an exactly solvable $B_N$ type Calogero model with nonhermitian PT invariant interaction
• Transmission resonances and supercritical states in a one dimensional cusp potential
• On the eigenproblems of PT-symmetric oscillators
• Bound States of Non-Hermitian Quantum Field Theories
• Solution of the relativistic Dirac-Hulthen problem
• Numerical Simulations of PT-Symmetric Quantum Field Theories
• Dirac and Klein-Gordon particles in complex Coulombic fields; a similarity transformation
• L2 series solution of the relativistic Dirac-Morse problem for all energies
• Graded extension of SO(2,1) Lie algebra and the search for exact solutions of Dirac equation by point canonical transformations
• Creation and annihilation operators and coherent states for the PT-symmetric oscillator

Cited by in corpus (24)

• Optical realization of relativistic non-Hermitian quantum mechanics
• Solitons supported by complex PT symmetric Gaussian potentials
• Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
• Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
• The Hulthen Potential in D-dimensions
• Scattering and bound states of Dirac Equation in presence of cosmic string for Hulthén potential
• Polynomial Solution of Non-Central Potentials
• Bound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method
• PT/Non-PT Symmetric and Non-Hermitian Poschl-Teller-Like Solvable Potentials via Nikiforov-Uvarov Method
• Exact solution of Effective mass Schrodinger Equation for the Hulthen potential
• A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
• A new approach to the exact solutions of the effective mass Schrodinger equation
• Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling
• The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
• Overcritical PT-symmetric square well potential in the Dirac equation
• $\mathcal{P}\mathcal{T}$ Symmetric Hamiltonian Model and Dirac Equation in 1+1 dimensions
• Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
• Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry
• Non-local PT-symmetric potentials in the one-dimensional Dirac equation
• Supersymmetric approach to exact solutions of $(1+1)$-dimensional time-independent Klein-Gordon equation : Application to a position-dependent mass and a $\mathcal{P}\mathcal{T}$-symmetric vector potential
• Non-Hermitian CP-Symmetric Dirac Hamiltonians with Real Energy Eigenvalues
• Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential