scholarly journals Approximate Solution of Schrodinger Equation for Hulthen Potential plus Eckart Potential with Centrifugal Term in terms of Finite Romanovski Polynomials

2012 ◽  
pp. 159-161 ◽  
Author(s):  
Cari ◽  
Suparmi
Keyword(s):  
Approximate Solution ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Centrifugal Term ◽  
Hulthén Potential ◽  
Eckart Potential ◽  
Hulthen Potential

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.

ARBITRARY l-WAVE BOUND STATE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE ECKART POTENTIAL

2009 ◽  
Vol 23 (18) ◽  
pp. 2269-2279 ◽  
Author(s):  
YONG-FENG DIAO ◽  
LIANG-ZHONG YI ◽  
TAO CHEN ◽  
CHUN-SHENG JIA
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Approximation Scheme ◽  
Function Analysis ◽  
Bound State ◽  
Centrifugal Term ◽  
Radial Wave ◽  
Shape Invariance ◽  
Eckart Potential ◽  
Analytical Results

By using a modified approximation scheme to deal with the centrifugal term, we solve approximately the Schrödinger equation for the Eckart potential with the arbitrary angular momentum states. The bound state energy eigenvalues and the unnormalized radial wave functions are approximately obtained in a closed form by using the supersymmetric shape invariance approach and the function analysis method. The numerical experiments show that our analytical results are in better agreement with those obtained by using the numerical integration approach than the analytical results obtained by using the conventional approximation scheme to deal with the centrifugal term.

Any ℓ-state solutions of the Eckart potential via asymptotic iteration method

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Babatunde Falaye
Keyword(s):  
Schrödinger Equation ◽  
Excellent Agreement ◽  
Iteration Method ◽  
Schrodinger Equation ◽  
Asymptotic Iteration Method ◽  
Centrifugal Term ◽  
Energy Eigenvalues ◽  
Eckart Potential ◽  
Term Energy

AbstractThe asymptotic iteration method is employed to calculate the any ℓ-state solutions of the Schrödinger equation with the Eckart potential by proper approximation of the centrifugal term. Energy eigenvalues and corresponding eigenfunctions are obtain explicitly. The energy eigenvalues are calculated numerically for some values of ℓ and n. Our results are in excellent agreement with the findings of other methods for short potential ranges.

scholarly journals Solusi Persamaan Schrödinger untuk Potensial Hulthen + Non-Sentral Poschl-Teller dengan Menggunakan Metode Nikiforov-Uvarov

2016 ◽  
Vol 3 (02) ◽  
pp. 169
Author(s):  
Nani Sunarmi ◽  
Suparmi S ◽  
Cari C
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Jacobi Polynomials ◽  
Energy Levels ◽  
Hulthén Potential ◽  
Central Potential ◽  
Hulthen Potential ◽  
Hypergeometric Type ◽  
Angular Equation ◽  
Uvarov Method

<span>The Schrödinger equation for Hulthen potential plus Poschl-Teller Non-Central potential is <span>solved analytically using Nikiforov-Uvarov method. The radial equation and angular equation <span>are obtained through the variable separation. The solving of Schrödinger equation with <span>Nikivorov-Uvarov method (NU) has been done by reducing the two order differensial equation <span>to be the two order differential equation Hypergeometric type through substitution of <span>appropriate variables. The energy levels obtained is a closed function while the wave functions <span>(radial and angular part) are expressed in the form of Jacobi polynomials. The Poschl-Teller <span>Non-Central potential causes the orbital quantum number increased and the energy of the <span>Hulthen potential is increasing positively.</span></span></span></span></span></span></span></span><br /></span>

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