Exact solutions of the Schrodinger equation for an anharmonic potential in two dimensions

被引：6
作者：
Singh, Ram Mehar [1 ]
机构：
[1] Ch Devi Lal Univ, Dept Phys, Sirsa 125055, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 11期
关键词：
Schrodinger equation; Anharmonic potential; Ansatz parameters; WAVE-EQUATION;
D O I：
10.1016/j.amc.2011.12.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Within the framework of ansatz method, we investigate the exact closed-form solutions of the time independent Schrodinger equation for a two-dimensional anharmonic potential having sextic-type anharmonicity [say V(x, y) = Sigma(6)(ij-0)a(ij)x(i)y(j), with 1 <= i + j <= 6]. By imposing few restrictions on ansatz parameters and at the cost of some constraints on potential parameters, the ground state as well as excited states solutions are obtained. (C) 2011 Elsevier Inc. All rights reserved.
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页码：6439 / 6445
页数：7
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