The scattering states of the generalized Hulthén potential with an improved new approximate scheme for the centrifugal term

2009 ◽  
Vol 18 (9) ◽  
pp. 3663-3669 ◽  
Author(s):  
Wei Gao-Feng ◽  
Chen Wen-Li ◽  
Wang Hong-Ying ◽  
Li Yuan-Yuan
Keyword(s):  
Centrifugal Term ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Scattering States ◽  
Approximate Scheme

A new approximation scheme for the centrifugal term and the Hulthén potential

2008 ◽  
Vol 372 (27-28) ◽  
pp. 4779-4782 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Jian-Yi Liu ◽  
Ping-Quan Wang
Keyword(s):  
Approximation Scheme ◽  
Centrifugal Term ◽  
Hulthén Potential ◽  
Hulthen Potential

Scattering states of the Duffin-Kemmer-Petiau equation for the Hulthén potential

2013 ◽  
Vol 128 (9) ◽  
Author(s):  
S. Zarrinkamar ◽  
S. F. Forouhandeh ◽  
B. H. Yazarloo ◽  
H. Hassanabadi
Keyword(s):  
Hulthén Potential ◽  
Hulthen Potential ◽  
Scattering States

scholarly journals Approximate analytical solutions for arbitrary l-state of the Hulthén potential with an improved approximation of the centrifugal term

2011 ◽  
Vol 9 (4) ◽  
pp. 737-742 ◽  
Author(s):  
Jerzy Stanek
Keyword(s):  
Bound State ◽  
Centrifugal Term ◽  
Approximate Methods ◽  
Quantization Rule ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Approximate Analytical Solutions ◽  
Exact Quantization Rule ◽  
Screening Parameter ◽  
Uvarov Method

AbstractAn approximate analytical solution of the radial Schrödinger equation for the generalized Hulthén potential is obtained by applying an improved approximation of the centrifugal term. The bound state energy eigenvalues and the normalized eigenfunctions are given in terms of hypergeometric polynomials. The results for arbitrary quantum numbers n r and l with different values of the screening parameter δ are compared with those obtained by the numerical method, asymptotic iteration, the Nikiforov-Uvarov method, the exact quantization rule, and variational methods. The results obtained by the method proposed in this work are in a good agreement with those obtained by other approximate methods.

ARBITRARY l-WAVE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE HULTHÉN POTENTIAL MODEL

2009 ◽  
Vol 24 (24) ◽  
pp. 4519-4528 ◽  
Author(s):  
CHUN-SHENG JIA ◽  
YONG-FENG DIAO ◽  
LIANG-ZHONG YI ◽  
TAO CHEN
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Function Analysis ◽  
Bound State ◽  
Centrifugal Term ◽  
Hulthén Potential ◽  
Radial Wave ◽  
Hulthen Potential ◽  
Analytical Results ◽  
Screening Parameter

By using an improved new approximation scheme to deal with the centrifugal term, we investigate the bound state solutions of the Schrödinger equation with the Hulthén potential for the arbitrary angular momentum number. The bound state energy spectra and the unnormalized radial wave functions have been approximately obtained by using the supersymmetric shape invariance approach and the function analysis method. The numerical experiments show that our approximate analytical results are in better agreement with those obtained by using numerical integration approach for small values of the screening parameter δ than the other analytical results obtained by using the conventional approximation to the centrifugal term.

Scattering states of the dirac equation under asymmetric Hulthén potential

2013 ◽  
Vol 128 (10) ◽  
Author(s):  
Hassan Hassanabadi ◽  
Elham Maghsoodi ◽  
Nasrin Salehi ◽  
Akpan N. Ikot ◽  
Saber Zarrinkamar
Keyword(s):  
Dirac Equation ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Scattering States

Transmission resonance for a Dirac particle in a one-dimensional Hulthén potential

Open Physics ◽  
2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Jianyou Guo ◽  
Yi Yu ◽  
Shaowei Jin
Keyword(s):  
Hypergeometric Functions ◽  
Matching Condition ◽  
Dirac Particle ◽  
Hulthén Potential ◽  
Transmission Resonance ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Hulthen Potential ◽  
Scattering States

AbstractWe have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulthén potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have derived the reflection and transmission coefficients using the matching condition on the wavefunctions, and investigated the condition for the existence of transmission resonance. Furthermore, we have demonstrated how the transmission resonance depends on the shape of the potential.

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