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光子学报  2001 

THE SUPERSYMMETRY WKB APPROXIMATION AND THE INFINITE WELL
超对称WKB近似与一维无限深势阱

Keywords: Supersymmetry WKB approximation,Non,shape,invariant potential,Infinite square well
超对称WKB近似
,非形状不变势,一维无限深势阱,精确能谱公式,热函数,量子力

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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.

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