The Klein–Gordon equation with a generalized Morse potential in D-dimensions

2021 ◽  
Vol 136 (10) ◽  
Author(s):  
Aram Bahroz Brzo ◽  
Eser Olğar ◽  
Hemn G. Hussein
Keyword(s):  
Morse Potential ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Generalized Morse Potential ◽  
Klein Gordon Equation

AN ALGEBRAIC APPROACH TO THE q-DEFORMED MORSE POTENTIAL

2009 ◽  
Vol 24 (05) ◽  
pp. 361-367 ◽  
Author(s):  
M. R. SETARE ◽  
O. HATAMI
Keyword(s):  
Commutation Relation ◽  
Morse Potential ◽  
Gordon Equation ◽  
Algebraic Approach ◽  
Creation And Annihilation Operators ◽  
One Dimensional ◽  
Klein Gordon ◽  
The Creation ◽  
Scalar Potentials ◽  
Klein Gordon Equation

We have obtained the creation and annihilation operators directly from the eigenfunction for the general deformed morse potential in one-dimensional Klein–Gordon equation with equally mixed vector and scalar potentials and also in the Schrödinger equation, we show that these operators satisfy the commutation relation of the SU(1, 1) group. Then we have expressed the Hamiltonian in terms of the su(1, 1) algebra.

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