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超对称WKB近似与一维无限深势阱
THE SUPERSYMMETRY WKB APPROXIMATION AND THE INFINITE WELL
【摘要】 证明了一维无限深势阱为非形状不变势 .采用超对称 WKB近似 ,得到了一维无限深势阱的精确能谱公式 .计算结果表明 ,把势场具有形状不变性作为超对称 WKB近似能够给出精确能谱的充要条件 ,是一个过强的提法 ,需要加以弱化
【Abstract】 It has been shown that the infinite well is a non shape invariant potential.By using the supersymmetry WKB approximation,the exact energy spectra for the infinite well are obtained.When the supersymmetry WKB approximation is exact,a necessary and sufficient condition for a potential to be shape invariant is an over strong condition,this requirement should be weakened.
【关键词】 超对称WKB近似;
非形状不变势;
一维无限深势阱;
【Key words】 Supersymmetry WKB approximation; Non shape invariant potential; Infinite square well;
【Key words】 Supersymmetry WKB approximation; Non shape invariant potential; Infinite square well;
【基金】 教育部高等学校重点实验室访问学者基金资助项目
- 【文献出处】 光子学报 ,Acta Photonica Sinica , 编辑部邮箱 ,2001年07期
- 【分类号】O431.2
- 【被引频次】2
- 【下载频次】143