| Six—Parameter Exponential—Type Potential and the Identity for the Exponential—Type Potentials |
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| 引用本文： | JIAChun－Sheng ZENGXiang－Lin 等.Six—Parameter Exponential—Type Potential and the Identity for the Exponential—Type Potentials[J].理论物理通讯,2002,37(5):523-530. |
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| 作者姓名： | JIAChun－Sheng ZENGXiang－Lin |
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| 作者单位： | [1]StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,SouthwestPetroleumInstitute,Nanchong637001,SichuanProvince,China [2]GraduateSchool,SouthwestPetroleumInstitute,Nanchong6370 |
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| 摘 要： | We propose a six-parameter exponential-type potential (SPEP),which has been shown to be a shapeinvariant potential with a translation of parameters.For this reducible potential,the exact energy levels are obtained by using the supersymmetric shape invariance technique.Choosing appropriate parameters,four classes of exponential-type potentials and their exact energy spectra are reduced from the SPEP and a general energy level formula,respectively.Each class shows the identity except for the different definitions of parameters.
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| 关 键 词： | 量子力学 能量本征值 六参数指数型势 能谱问题 |
| 收稿时间： | 2001-10-15 |
Six-Parameter Exponential-Type Potential and the Identity for the Exponential-Type Potentials |
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| JIA Chun-sheng,ZENG Xiang-Lin,LI Shu-Chuan,SUN Liang-tian,YANG Qiu-Bo.Six-Parameter Exponential-Type Potential and the Identity for the Exponential-Type Potentials[J].Communications in Theoretical Physics,2002,37(5):523-530. |
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| Authors: | JIA Chun-sheng ZENG Xiang-Lin LI Shu-Chuan SUN Liang-tian YANG Qiu-Bo |
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| Institution: | 1. State Key Laboratory of Oil and Gas Reservoir Geology and
Exploitation, Southwest Petroleum Institute, Nanchong 637001, Sichuan
Province, China
;2. Graduate School, Southwest Petroleum Institute, Nanchong 637001, Sichuan Province, China
;3. Department of Physics, Educational College of Nanchong, Nanchong 637000, Sichuan Province, China
;4. Department of Basic Sciences, Chinese People's Armed
Police Force Academy, Langfang 102800, China |
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| Abstract: | We propose a six-parameter exponential-type potential (SPEP), which has been shown to be a shape-invariant potential with a translation of parameters. For this reducible potential, the exact energy levels are obtained byusing the supersymmetric shape invariance technique. Choosing appropriate parameters, four classes of exponential-typepotentials and their exact energy spectra are reduced from the SPEP and a general energy level formula, respectively.Each class shows the identity except for the different definitions of parameters. |
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| Keywords: | six-parameter exponential-type potential shape invariance energy eigenvalue |
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