在点正则变换下双原子分子的广义Hulthn势映射至Pschl-TellerⅠ势(英文)  

Mapping of a new potential for diatomic molecules into Pischl-Teller Ⅰ potential via point canonical transformation

作　　者：杨进[1] 向安平[1] 朱世德[1] 

机构地区：[1]成都信息工程学院光电技术系,四川成都610041

出　　处：《原子与分子物理学报》2002年第3期283-285,共3页Journal of Atomic and Molecular Physics

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundation (GrantNo .4990 5 0 0 1)andtheSichuanYouthScienceandTechnologyFoundation

摘　　要：利用在点正则变换下形状不变势的映射方法 ,找出了该问题需要的点正则变换 ,建立了双原子分子的广义Hulth啨ｎ势和Ｐ schl TellerⅠ势之间的关系 ,并由P schl TellerⅠ势的束缚态能级和波函数 。By means of the method of mapping of shape invariant potentias under point canonical transformations, the energy eigenproblems of diatomic molecules with a new kind of potentials, known as shape invariance, from the known results of the trigonometric P*ischl-Teller potential (Called PT-Ⅰ potential) are solved with relative mathermatical ease.

关 键 词：双原子分子 形状不变势 广义Hulthen势 Poeschl-TellerⅠ势 点正则变换 映射方法 波函数 束缚态能级 量子力学 

分 类 号：O413.1[理学—理论物理] O561.1[理学—物理]