| 运用形状不变性技术计算Rosen-Morse势的能量本征值 |
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| 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].西南石油大学学报（自然科学版）,1997,19(3):119-121. |
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| 作者姓名： | 贾春生 薛成刚 李玉军 |
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| 作者单位： | (西南石油学院工业自动化系,四川 南充 637001) |
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| 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Poschl-Teller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。
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| 关 键 词： | 形状 不变性 技术 Schrodinger方程 本征态 |
| 收稿时间： | 1997-04-03 |
Energy Eigenvalues for Rosen-Morse Potential by the Shape Invariance Technique |
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| Jia Chun-sheng,Xue Cheng-gang,Li Yu-jun.Energy Eigenvalues for Rosen-Morse Potential by the Shape Invariance Technique[J].Journal of Southwest Petroleum University(Seience & Technology Edition),1997,19(3):119-121. |
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| Authors: | Jia Chun-sheng Xue Cheng-gang Li Yu-jun |
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| Institution: | (Dept. of Automation, SWPI, Sichuan, 637001 ) |
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| 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 for-mulas 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. |
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| Keywords: | Shapes Invariance Technique Schr dinger equation Eigenstate |
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