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运用形状不变性技术计算Rosen-Morse势的能量本征值
引用本文:贾春生,薛成刚,李玉军. 运用形状不变性技术计算Rosen-Morse势的能量本征值[J]. 西南石油学院学报, 1997, 0(3)
作者姓名:贾春生  薛成刚  李玉军
作者单位:西南石油学院工业自动化系
基金项目:国家教委高教司立项课题
摘    要:
采用形状不变性技术计算了Rosen-Morse势的能量本征值,其能谱公式与采用因子化方法得到的严格解完全一致,而一维修正P¨oschl-Teler势的能谱公式是Rosen-Morse势的一个特例。所得形状不变性关系式表明:Rosen-Morse势是单参量平移型形状不变势。

关 键 词:形状;不变性;技术;Schr¨odinger方程;本征态

Energy Eigenvalues for Rosen-Morse Potential by the Shape Invariance Technique,
Xue Chenggang. Energy Eigenvalues for Rosen-Morse Potential by the Shape Invariance Technique,[J]. Journal of Southwest Petroleum Institute, 1997, 0(3)
Authors:Xue Chenggang
Abstract:
The enegy eigenvalues for Rosen-Morse potential are calculated by using the shape invariance technique. The results are consistent with those obtained by Nieto by using the factorization method. The energy spectrum formulas for one-dimensional modified poschl-Teller potential are contained in the energy spectrum formulas for one-dimensional Rosen-Morse potential as a special case. The present shape invariance relation shows that Rosen-Morse potential belongs to a shape invariance potential with a translation of parameters.
Keywords:Shapes  Invariance  Technique  Schrdinger equation  Eigenstate
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