scholarly journals Solution of Klein Gordon equation for trigonometric cotangent potential in the presence of a minimal length using Asymptotic Iteration Method

2017 ◽  
Vol 909 ◽  
pp. 012003 ◽  
Author(s):  
A Suparmi ◽  
C Cari ◽  
Isnaini Lilis Elviyanti
2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Isnaini Lilis Elviyanti ◽  
Beta Nur Pratiwi ◽  
A. Suparmi ◽  
C. Cari

The application of minimal length formalism in Klein-Gordon equation with Hulthen potential was studied in the case of scalar potential that was equal to vector potential. The approximate solution was used to solve the Klein-Gordon equation within the minimal length formalism. The relativistic energy and wave functions of Klein-Gordon equation were obtained by using the Asymptotic Iteration Method. By using the Matlab software, the relativistic energies were calculated numerically. The unnormalized wave functions were expressed in hypergeometric terms. The results showed the relativistic energy increased by the increase of the minimal length parameter. The unnormalized wave function amplitude increased for the larger minimal length parameter.


2017 ◽  
Vol 1 (1) ◽  
pp. 42
Author(s):  
Dewanta Arya Nugraha ◽  
A Suparmi ◽  
C Cari

<p class="Abstract">Radial part of Klein Gordon equation for trigonometric Pӧschl-Teller potential was obtained within framework of a centrifugal term approximation. The relativistic energy spectrum and wave functions was obtain by using asymptotic iteration method. The value of relativistic energy was calculated numerically using Matlab 2013. The results showed that the relativistic energy is increasing due to the increase of potential constant and quantum number.</p>


2017 ◽  
Vol 1 (1) ◽  
pp. 42 ◽  
Author(s):  
Dewanta Arya Nugraha ◽  
A Suparmi ◽  
C Cari

<p class="Abstract">Radial part of Klein Gordon equation for trigonometric Pӧschl-Teller potential was obtained within framework of a centrifugal term approximation. The relativistic energy spectrum and wave functions was obtain by using asymptotic iteration method. The value of relativistic energy was calculated numerically using Matlab 2013. The results showed that the relativistic energy is increasing due to the increase of potential constant and quantum number.</p>


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