scholarly journals Asymptotic iteration method for the eigenfunctions and eigenvalue analysis in Schrodinger equation with modified anisotropic nonquadratic potential

2016 ◽  
Vol 776 ◽  
pp. 012090 ◽  
Author(s):  
B. N. Pratiwi ◽  
A. Suparmi ◽  
C. Cari ◽  
F. Anwar
Keyword(s):  
Schrödinger Equation ◽  
Iteration Method ◽  
Schrodinger Equation ◽  
Eigenvalue Analysis ◽  
Asymptotic Iteration Method

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 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 Spin averaged mass spectrum of heavy quarkonium via asymptotic iteration method

2019 ◽  
Vol 97 (12) ◽  
pp. 1342-1348
Author(s):  
Halil Mutuk
Keyword(s):  
Experimental Data ◽  
Mass Spectrum ◽  
Schrödinger Equation ◽  
Iteration Method ◽  
Schrodinger Equation ◽  
Energy Levels ◽  
Wave Functions ◽  
Asymptotic Iteration Method ◽  
Heavy Quarkonium ◽  
Theoretical Studies

In this paper we solved Schrödinger equation with Song–Lin potential by using asymptotic iteration method (AIM). We obtained spin-averaged energy levels and wave functions of charmonium and bottomonium via AIM. Obtained results agree well with available experimental data and other theoretical studies.

The asymptotic iteration method applied to certain quasinormal modes and non Hermitian systems

Open Physics ◽  
2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Okan Özer ◽  
Pinaki Roy
Keyword(s):  
Schrödinger Equation ◽  
Excellent Agreement ◽  
Iteration Method ◽  
Schrodinger Equation ◽  
Quasinormal Modes ◽  
Asymptotic Iteration Method ◽  
Exact Results

AbstractWe study the Schrödinger equation with potentials admitting quasinormal modes using the asymptotic iteration method (AIM). We also study non-Hermitian PT symmetric potentials using AIM. The spectra, in all cases, are found to be in excellent agreement with exact results.

Sign in / Sign up

Export Citation Format

Share Document