scholarly journals Analytical approximate bound state solution of Schrödinger equation in D -dimensions with a new mixed class of potential for arbitrary ℓ-state via asymptotic iteration method

2016 ◽  
Vol 54 (5) ◽  
pp. 850-858 ◽  
Author(s):  
Tapas Das
Keyword(s):  
Schrödinger Equation ◽  
Iteration Method ◽  
Schrodinger Equation ◽  
Bound State ◽  
State Solution ◽  
Asymptotic Iteration Method ◽  
Bound State Solution

Approximate and analytical bound state solutions of the Frost–Musulin potential

2014 ◽  
Vol 92 (1) ◽  
pp. 18-21 ◽  
Author(s):  
A.G. Adepoju ◽  
E.J. Eweh
Keyword(s):  
Functional Analysis ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Short Range ◽  
Bound State ◽  
State Solution ◽  
Centrifugal Term ◽  
Analysis Method ◽  
Bound State Solution ◽  
Short Range Potential

Despite all the attempts made by several authors to investigate the bound state solutions of the Schrödinger equation with various potentials, until now, such investigations have not been conducted for Frost–Musulin diatomic potential. In this study, we obtain the approximate bound state solution of this potential via the functional analysis method. We also numerically solved the Schrödinger equation without any approximation to centrifugal term for the same potential. The comparisons between the results reveal the accuracy of our approximate results for short-range potential.

scholarly journals Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

2020 ◽  
Vol 45 (1) ◽  
pp. 65 ◽  
Author(s):  
Akpan Ndem Ikot ◽  
Uduakobong Okorie ◽  
Alalibo Thompson Ngiagian ◽  
Clement Atachegbe Onate ◽  
Collins Okon Edet ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Iteration Method ◽  
Schrodinger Equation ◽  
Graphical Representation ◽  
Bound State ◽  
Confluent Hypergeometric Function ◽  
Asymptotic Iteration Method ◽  
Slope Parameter ◽  
Exact Bound ◽  
Energy Dependent

In this paper, we obtained the exact bound state energy spectrum of the Schrödinger equation with energy dependent molecular Kratzer potential using asymptotic iteration method (AIM). The corresponding wave function expressed in terms of the confluent hypergeometric function was also obtained. As a special case, when the energy slope parameter in the energy-dependent molecular Kratzer potential is set to zero, then the well-known molecular Kratzer potential is recovered. Numerical results for the energy eigenvlaues are also obtained for different quantum states, in the presence and absence of the energy slope parameter. These results are discussed extensively using graphical representation. Our results are seen to agree with the results in literature.

scholarly journals Bound state solution of the Schrödinger equation for Mie potential

2007 ◽  
Vol 43 (2) ◽  
pp. 749-755 ◽  
Author(s):  
Ramazan Sever ◽  
Mahmut Bucurgat ◽  
Cevdet Tezcan ◽  
Özlem Yeşiltaş
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Bound State ◽  
State Solution ◽  
Bound State Solution ◽  
Mie Potential
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