西南石油大学学报(自然科学版) ›› 1997, Vol. 19 ›› Issue (3): 119-121.DOI: 10.3863/j.issn.1000-2634.1997.03.026

• 计算机应用、管理科学 • 上一篇    

运用形状不变性技术计算Rosen-Morse势的能量本征值

贾春生 薛成刚 李玉军

  

  1. (西南石油学院工业自动化系,四川 南充 637001)   
  • 收稿日期:1997-04-03 修回日期:1900-01-01 出版日期:1997-08-20 发布日期:1997-08-20
  • 通讯作者: 贾春生

Energy Eigenvalues for Rosen-Morse Potential by the Shape Invariance Technique

Jia Chun-sheng Xue Cheng-gang Li Yu-jun   

  1. (Dept. of Automation, SWPI, Sichuan, 637001 )
  • Received:1997-04-03 Revised:1900-01-01 Online:1997-08-20 Published:1997-08-20
  • Contact: Jia Chun-sheng

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。

关键词: 形状, 不变性, 技术, Schrodinger方程, 本征态

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.

Key words: Shapes, Invariance, Technique, Schr dinger equation, Eigenstate

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