Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

ZHANG Ai-Ping; QIANG Wen-Chao

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2024年10月30日

Chinese Physics C> 2007, Vol. 31> Issue(11) : 1027-1031

Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

ZHANG Ai-Ping ^, ,
QIANG Wen-Chao

Science College, Xi'an University of Architecture and Technology, Xi'an 710055, China

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Abstract：
In this paper, the relativistic Rosen-Morse II potential is investigated by solving the Klein-Gordon and the Dirac equations with equal attractive scalar s(r) and repulsive vector v(r) potentials. The exact energy equations of the bound state are obtained by the method of supersymmetric and shape invariance. Finally, a kind of special potential about Rosen-MorseⅡ potential is discussed.

References

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ZHANG Ai-Ping and QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential[J]. Chinese Physics C, 2007, 31(11): 1027-1031.

ZHANG Ai-Ping and QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential[J]. Chinese Physics C, 2007, 31(11): 1027-1031. shu

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Received: 2006-12-05
Revised: 2007-01-23

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Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

ZHANG Ai-Ping ^,
QIANG Wen-Chao

Corresponding author: ZHANG Ai-Ping,

Science College, Xi'an University of Architecture and Technology, Xi'an 710055, China

Received Date: 2006-12-05
Accepted Date: 2007-01-23
Available Online: 2007-11-05

Abstract: In this paper, the relativistic Rosen-Morse II potential is investigated by solving the Klein-Gordon and the Dirac equations with equal attractive scalar s(r) and repulsive vector v(r) potentials. The exact energy equations of the bound state are obtained by the method of supersymmetric and shape invariance. Finally, a kind of special potential about Rosen-MorseⅡ potential is discussed.