# Solution of the relativistic Dirac–Hulthén problem

@article{Alhaidari2004SolutionOT, title={Solution of the relativistic Dirac–Hulth{\'e}n problem}, author={Abdulaziz D. Alhaidari}, journal={Journal of Physics A}, year={2004}, volume={37}, pages={5805-5813} }

The one-particle three-dimensional Dirac equation with spherical symmetry is solved for the Hulthen potential. The s-wave relativistic energy spectrum and two-component spinor wavefunctions are obtained analytically. Conforming to the standard feature of the relativistic problem, the solution space splits into two distinct subspaces depending on the sign of a fundamental parameter in the problem. Unique and interesting properties of the energy spectrum are pointed out and illustrated…

## 38 Citations

### Approximate solutions of Klein–Gordon and Dirac equations in the presence of the Hulthén potential

- Physics
- 2008

The relativistic generalization of the screened potential problem is given. The Klein–Gordon and Dirac equations in the presence of the Hulthén potential V(r)=−αδe−δr/(1−e−δr) are solved by using the…

### The Relativistic Scattering States of the Hulthén Potential with an Improved New Approximate Scheme to the Centrifugal Term

- Physics
- 2009

The approximately analytical scattering state solutions of the l-wave Klein-Gordon equation with the unequal scalar and vector Hulthén potentials are carried out by an improved new approximate scheme…

### Approximate path integral solution for a Dirac particle in a deformed Hulthén potential

- Physics
- 2017

The problem of a Dirac particle moving in a deformed Hulthen potential is solved in the framework of the path integral formalism. With the help of the Biedenharn transformation, the construction of a…

### SOLUTION OF THE DIRAC EQUATION WITH NONCENTRAL THREE-VECTOR POTENTIAL

- Physics, Mathematics
- 2005

We introduce coupling to three-vector potential in the (3+1)-dimensional Dirac equation. The potential is noncentral (angular-dependent) such that the Dirac equation separates completely in spherical…

### Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein–Gordon equation for the scalar and vector Hulthén potentials

- Physics
- 2009

We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solution within the framework of the position-dependent effective mass radial…

### Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

- PhysicsJ. Quantum Inf. Sci.
- 2011

The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any…

### Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods–Saxon potential

- Physics
- 2005

The exact solution of the Dirac equation for a deformed form of the Woods–Saxon potential is obtained for the s-wave relativistic energy spectrum. The energy eigenvalues and two-component spinor…

### Bound states of relativistic particles in the generalized symmetrical double-well potential

- Physics
- 2005

### Approximate analytical solutions of the pseudospin symmetric Dirac equation for exponential‐type potentials

- Physics
- 2009

The solvability of The Dirac equation is studied for the exponential‐type potentials with the pseudospin symmetry by using the parametric generalization of the Nikiforov–Uvarov method. The energy…

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