Momentum Eigensolutions of Feinberg-Horodecki Equation with Time-Dependent Screened Kratzer-Hellmann Potential  

作　　者：Mahmoud Farout Sameer M. Ikhdair Mahmoud Farout;Sameer M. Ikhdair(Department of Physics, An-Najah National University, Nablus, Palestine;Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus)

机构地区：[1]Department of Physics, An-Najah National University, Nablus, Palestine [2]Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus

出　　处：《Journal of Applied Mathematics and Physics》2020年第7期1207-1221,共15页应用数学与应用物理（英文）

摘　　要：We obtain an approximate value of the quantized momentum eigenvalues, <em>P_n</em>, together with the space-like coherent eigenvectors for the space-like counterpart of the Schr<span style="white-space:nowrap;">&#246;</span>dinger equation, the Feinberg-Horodecki equation, with a screened Kratzer-Hellmann potential which is constructed by the temporal counterpart of the spatial form of this potential. In addition, we got exact eigenvalues of the momentum and the eigenstates by solving Feinberg-Horodecki equation with Kratzer potential. The present work is illustrated with three special cases of the screened Kratzer-Hellman potential: the time-dependent screened Kratzer potential, time-dependent Hellmann potential and, the time-dependent screened Coulomb potential.We obtain an approximate value of the quantized momentum eigenvalues, <em>P_n</em>, together with the space-like coherent eigenvectors for the space-like counterpart of the Schr<span style="white-space:nowrap;">&#246;</span>dinger equation, the Feinberg-Horodecki equation, with a screened Kratzer-Hellmann potential which is constructed by the temporal counterpart of the spatial form of this potential. In addition, we got exact eigenvalues of the momentum and the eigenstates by solving Feinberg-Horodecki equation with Kratzer potential. The present work is illustrated with three special cases of the screened Kratzer-Hellman potential: the time-dependent screened Kratzer potential, time-dependent Hellmann potential and, the time-dependent screened Coulomb potential.

关 键 词：Coherent States Feinberg-Horodecki Equation Time-Dependent Screened Kratzer-Hellmann Potential Time-Dependent Kratzer Potential Time-Dependent Yukawa Potential Time-Dependent Hellmann Potential Time-Dependent Coulomb Potential 

分 类 号：O17[理学—数学]