| 用点正则变换方法求解双原子分子的双曲型P?schl-Teller势的束缚态 |
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| 引用本文： | 杨进,向安平,朱世德.用点正则变换方法求解双原子分子的双曲型P?schl-Teller势的束缚态[J].原子与分子物理学报,2003,20(2):226-228. |
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| 作者姓名： | 杨进 向安平 朱世德 |
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| 作者单位： | 成都信息工程学院光电技术系,四川,成都,610041;成都信息工程学院光电技术系,四川,成都,610041;成都信息工程学院光电技术系,四川,成都,610041 |
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| 基金项目： | Project supported bythe National Natural Science Foundation (Grant No. 49905001);The Sichuan Youth Scienceand Technology Foundation;the Scientific Research Foundation of CUIT (CRF20011) |
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| 摘 要： | 采用在点正则变换下形状不变势的映射方法,给出了将Poschl-Teller Ⅰ势映射至Poschl-Teller Ⅱ势的点正则变换,并从Poschl-TellerI势的束缚态能级和波函数求得了Poschl-Teller Ⅱ势的束缚态能级和波函数.
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| 关 键 词： | 形状不变势 Poschl-Teller Ⅰ势 Poschl-Teller Ⅱ势 点正则变换 |
| 收稿时间： | 2002/9/23 |
Solutions for
shape-invariant Pöschl-Teller |
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| YANG Jin,XIANG An-ping and ZHU Shi-de.Solutions for
shape-invariant Pöschl-Teller[J].Journal of Atomic and Molecular Physics,2003,20(2):226-228. |
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| Authors: | YANG Jin XIANG An-ping and ZHU Shi-de |
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| Institution: | Department of Optics and Electronics, Chengdu University of Information Technology, Chengdu 610041,P.R.of China;Department of Optics and Electronics, Chengdu University of Information Technology, Chengdu 610041,P.R.of China;Department of Optics and Electronics, Chengdu University of Information Technology, Chengdu 610041,P.R.of China |
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| Abstract: | In a simple way, as described in Ref.2,3] , which establishes a new link between the trigonometric Pschl Teller potential (called PT-I potential) and hyperbolic Pschl Teller potential (called PT-Ⅱ potential), we will show that and how the s wave bound state solutions for hyperbolic Pschl Teller potential may be obtained without dealing with the special function. |
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| Keywords: | Shape invariant potential PT-Ⅰ potential PT-Ⅱ potential Point canonical transformation |
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