Exact Quantized Momentum Eigenvalues and Eigenstates of a General Potential Model  

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

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, Turkey

出　　处：《Journal of Applied Mathematics and Physics》2020年第7期1434-1447,共14页应用数学与应用物理（英文）

摘　　要：We obtain the quantized momentum eigenvalues, <i><i><span style="font-family:Verdana;">P</span></i><span style="font-family:Verdana;"></span></i><i><i>_{<span style="font-family:Verdana;">n</span>}</i><span style="font-family:Verdana;"></span></i>, and the momentum eigenstates for the space-like Schr<span style="white-space:nowrap;">&ouml;</span>dinger equation, the Feinberg-Horodecki equation, with the general potential which is constructed by the temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: time-dependent Wei-Hua Oscillator and time-dependent Manning-Rosen potential. We also plot the variations of the general molecular potential with its two special cases and their momentum states for few quantized states against the screening parameter.We obtain the quantized momentum eigenvalues, <i><i><span style="font-family:Verdana;">P</span></i><span style="font-family:Verdana;"></span></i><i><i>_{<span style="font-family:Verdana;">n</span>}</i><span style="font-family:Verdana;"></span></i>, and the momentum eigenstates for the space-like Schr<span style="white-space:nowrap;">&ouml;</span>dinger equation, the Feinberg-Horodecki equation, with the general potential which is constructed by the temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: time-dependent Wei-Hua Oscillator and time-dependent Manning-Rosen potential. We also plot the variations of the general molecular potential with its two special cases and their momentum states for few quantized states against the screening parameter.

关 键 词：Bound States Feinberg-Horodecki Equation The Time-Dependent General Potential Time-Dependent Wei-Hua Oscillator TIME-DEPENDENT Manning-Rosen Potential 

分 类 号：O17[理学—数学]