Consider the potential (V=-A /left(x^{2}+a^{2} ight)), and states (|1angle,|2angle), the first two eigenstates in this potential. Using

Consider the potential \(V=-A /\left(x^{2}+a^{2}\right)\), and states \(|1angle,|2angle\), the first two eigenstates in this potential. Using the methods in the text, estimate the transition probability \(f_{12} \equiv\langle 1|x| 2angle\).