scholarly journals Scattering and bound states for the Hulthén potential in a cosmic string background

2017 ◽  
Vol 77 (5) ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Fabiano M. Andrade ◽  
Edilberto O. Silva ◽  
Hassan Hassanabadi
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
String Background

scholarly journals Erratum to: Scattering and bound states for the Hulthén potential in a cosmic string background

2017 ◽  
Vol 77 (6) ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Fabiano M. Andrade ◽  
Edilberto O. Silva ◽  
Hassan Hassanabadi
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
String Background

scholarly journals BOUND-STATES OF A SEMI-RELATIVISTIC EQUATION FOR THE ${\cal PT}$-SYMMETRIC GENERALIZED HULTHÉN POTENTIAL BY THE NIKIFOROV–UVAROV METHOD

2008 ◽  
Vol 17 (06) ◽  
pp. 1107-1123 ◽  
Author(s):  
SAMEER M. IKHDAIR ◽  
RAMAZAN SEVER
Keyword(s):  
Bound States ◽  
Relativistic Equation ◽  
Hulthén Potential ◽  
Exact Bound ◽  
Hulthen Potential ◽  
Hypergeometric Type ◽  
Linear Differential ◽  
The One ◽  
Uvarov Method ◽  
S States

The one-dimensional semi-relativistic equation has been solved for the [Formula: see text]-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 Hulthén potentials.

scholarly journals Scalar bosons with Coulomb potentials in a cosmic string background: scattering and bound states

2020 ◽  
Vol 135 (1) ◽  
Author(s):  
Francisco A. Cruz Neto ◽  
Franciele M. da Silva ◽  
Luis C. N. Santos ◽  
Luis B. Castro
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
String Background ◽  
Coulomb Potentials

Arbitrary /-state approximate solutions of the Hulthén potential through the exact quantization rule

Open Physics ◽  
2008 ◽  
Vol 6 (2) ◽  
Author(s):  
Wen-Chao Qiang ◽  
Yang Gao ◽  
Run-Suo Zhou
Keyword(s):  
Bound States ◽  
Energy Levels ◽  
Approximate Solutions ◽  
Quantization Rule ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Approximate Analytical Solutions ◽  
Exact Quantization Rule ◽  
Radial Schrödinger Equation ◽  
Numerical Integration Methods

AbstractIn this paper, using the Exact Quantization Rule, we present approximate analytical solutions of the radial Schrödinger equation with non-zero l values for the Hulthén potential in the frame of an approximation to the centrifugal potential for any l states. The energy levels of all bound states can be easily calculated from the Exact Quantization Rule. Specifically, the normalized analytical wave functions are also obtained. Some energy eigenvalues are numerically calculated and compared with those obtained by other methods such as asymptotic iteration, supersymmetry, numerical integration methods, and the schroedinger Mathematica package.

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