Bound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method

Abstract

The one-dimensional spinless Salpeter equation has been solved for the PT-symmetric generalized Hulthén potential. The Nikiforov-Uvarov {NU) 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. We have investigated the positive and negative exact bound states of the s-states for different types of complex generalized Hulthen potentials.

24 pages

References in corpus (14)

• Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
• Generalized Continuity Equation and Modified Normalization 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
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
• Exact Solutions of the Duffin Kemmer Petiau Equation for the Deformed Hulthen Potential
• Complex Optical Potentials and Pseudo-Hermitian Hamiltonians
• Polynomial Solution of PT-/Non-PT-Symmetric and Non-Hermitian Generalized Woods-Saxon Potential via Nikiforov-Uvarov Method
• Exact Eigenvalues and Eigenfunctions of the Hulthen Potential in the PT-Symmetry for Any Angular Momentum
• A perturbative treatment for the bound states of the Hellmann potential
• On the B_{c} leptonic decay constant
• Theoretical Status of the $B_c$ Meson in the Shifted l-Expansion Technique
• Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials

Cited by in corpus (21)

• An improved approximation scheme for the centrifugal term and the Hulthen potential
• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
• 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
• Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential
• Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
• Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential
• Bound states of the Klein-Gordon equation for vector and scalar general Hulthen-type potentials in D-dimension
• The Spinless Relativistic Woods-Saxon Problem
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Eigenspectra and Statistical Properties of the Klein-Gordon Equation with Cornell Potential: Unequal Mixings of Scalar and Time-Like Vector Potentials
• A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta
• The Spinless Relativistic Hulthén Problem
• A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
• Semirelativistic Bound-State Equations: Trivial Considerations
• Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential
• Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
• The semi-relativistic scattering states of the two-body spinless Salpeter equation with the Varshni potential model