Nonrelativistic molecular models under external magnetic and AB flux fields

被引:100
作者
Ikhdair, Sameer M. [1 ]
Falaye, Babatunde J. [2 ]
Hamzavi, Majid [3 ]
机构
[1] An Najah Natl Univ, Fac Sci, Dept Phys, Nablus, West Bank, Israel
[2] Fed Univ Lafia, Dept Phys, Div Appl Theoret Phys, Lafia, Nassarawa State, Nigeria
[3] Univ Zanjan, Dept Phys, Zanjan, Iran
关键词
Potential model; Diatomic molecule; Magnetic field; AB flux field; Wave function ansatz; 2-DIMENSIONAL HYDROGEN-ATOM; RADIAL SCHRODINGER-EQUATION; QUANTUM PSEUDODOT SYSTEM; PATH-INTEGRAL SOLUTION; DIRAC-EQUATION; BOUND-STATES; PSEUDOHARMONIC OSCILLATOR; DIATOMIC-MOLECULES; ENERGY EIGENVALUES; ANALYTIC SOLUTION;
D O I
10.1016/j.aop.2014.11.017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary m-state in two-dimensional Schrodinger wave equation with various power interaction potentials in constant magnetic and Aharonov-Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We calculate the energy levels of some diatomic molecules in the presence and absence of external magnetic and AB flux fields using different potential models. We found that the effect of the Aharonov-Bohm field is much as it creates a wider shift for m not equal 0 and its influence on m = 0 states is found to be greater than that of the magnetic field. To show the accuracy of the present model, a comparison is made with those ones obtained in the absence of external fields. An extension to 3-dimensional quantum system have also been presented. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:282 / 298
页数:17
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