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Caling rule, energy distribution and energy level analysis for Morseoscillator by virtue of Hermann-Feynman theorem
Chen Junhua 1,Fan Hongyi 2
1. Department of Materials Science and Engineering, University of Science and Technology of China
2.Department of Materials Science and Engineering, University of Science and Technology of China
*Correspondence author
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Funding: 高等学校博士学科点专项科研基金(No.NO.20070358009)
Opened online:26 January 2011
Accepted by: none
Citation: Chen Junhua,Fan Hongyi.Caling rule, energy distribution and energy level analysis for Morseoscillator by virtue of Hermann-Feynman theorem[OL]. [26 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4407635
 
 
We propose the scaling rule of Morse oscillator, based on this rule and byvirtue of the Hermann-Feymann theorem we respectively obtain the distributionof potential and kinetic energy of the Morse Hamiltonian. As a by-product, wealso derive the exact upper limit of physical energy level. Further, we derivesome recursive relations for energy matrix elements of the potential and othersimilar operators in the context of Morse oscillator theory.
Keywords:Morse oscillator;the Hermann-Feymann theorem;Morse Hamiltonian;energy level;potential and kinetic energy;energy matrix elements
 
 
 

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