标题： 对称指数振荡器 显示英文标题

标题： Symmetrized exponential oscillator

摘要： 研究了势场$ V(x)= g^2\exp (|x|)$中束缚态的若干性质。 首先，在强调我们任意精度构造的可靠性时，波函数被考虑为两种替代形式（即渐近递减或正则）的精确贝塞尔函数形式，分别满足渐近条件或匹配条件。 比较了由此产生的互补超越特征方程方法的优点，并讨论了它们的适用性。 显示英文摘要

摘要： Several properties of bound states in potential $ V(x)= g^2\exp (|x|)$ are studied. Firstly, with the emphasis on the reliability of our arbitrary-precision construction, wave functions are considered in the two alternative (viz., asymptotically decreasing or regular) exact Bessel-function forms which obey the asymptotic or matching conditions, respectively. The merits of the resulting complementary transcendental secular equation approaches are compared and their applicability is discussed.