Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations

ZHANG Shi-Sheng; MENG Jie; GUO Jian-You

Chinese Physics C> 2003, Vol. 27> Issue(12) : 1095-1099

Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations

School of Physics,Peking University,Beijing 100871,China2 Institute of Theoretical Physics,CAS,Beijing 100080,China3 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China4 Department of Physics,Anhui University,Hefei 230039,China

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Abstract：
Based on Schrdinger equation, the method of analytical continuation in the coupling constant (ACCC) is employed to investigate the energy and width of single-particle resonance in spherically symmetric square well, harmonic oscillator potential and Woods-Saxon potential. The influences of the interval for the coupling constant values and the order of Pade polynomial are analyzed. It has been shown that, by properly chosen interval for the coupling constant values and the order of Pad polynomial, stable and convergent energy and width of single-particle resonance can be obtained.

References

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ZHANG Shi-Sheng, MENG Jie and GUO Jian-You. Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations[J]. Chinese Physics C, 2003, 27(12): 1095-1099.

ZHANG Shi-Sheng, MENG Jie and GUO Jian-You. Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations[J]. Chinese Physics C, 2003, 27(12): 1095-1099. shu

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Received: 2003-05-20
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations

Corresponding author: MENG Jie,

School of Physics,Peking University,Beijing 100871,China2 Institute of Theoretical Physics,CAS,Beijing 100080,China3 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China4 Department of Physics,Anhui University,Hefei 230039,China

Received Date: 2003-05-20

Accepted Date: 1900-01-01

Available Online: 2003-12-05

Abstract: Based on Schrdinger equation, the method of analytical continuation in the coupling constant (ACCC) is employed to investigate the energy and width of single-particle resonance in spherically symmetric square well, harmonic oscillator potential and Woods-Saxon potential. The influences of the interval for the coupling constant values and the order of Pade polynomial are analyzed. It has been shown that, by properly chosen interval for the coupling constant values and the order of Pad polynomial, stable and convergent energy and width of single-particle resonance can be obtained.

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Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations

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