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

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.