Chapter 11, Problem 11.31P

(a)

To determine

The spontaneous emission rate for forbidden transitions.

(b)

To determine

Show that for a one-dimensional oscillator the forbidden transitions go from level $n$ to level $n-2$ and the transition rate is $R=\frac{\hslash q^2{\omega }^{3}n\left(n-1\right)}{15\pi {\epsilon }_0{m}^2{c}^5}$.

(c)

To determine

Show that $2S\to 1S$ transition in hydrogen is not possible even by the forbidden transition.