Question

An electron in the Coulomb field of a proton is in the following state of coherent superposition of orthonormal states $\psi_{n i m}$:$\psi = \frac{1}{3} \psi_{100} + \frac{1}{\sqrt{3}} \psi_{210} + \frac{\sqrt{5}}{3} \psi_{320}$Let $E_1, E_2,$ and $E_3$ represent the first three energy levels of the system. A sequence of measurements is done on the same system at different times. Energy is measured first at time $t_1$ and the outcome is $E_2$. Then total angular momentum is measured at time $t_2 > t_1$, and finally, energy is measured again at $t_3 > t_2$. The probability of finding the system in a state with energy $E_2$ after the final measurement is $\frac{P}{9}$. The value of $P$ is ______ (in integer).

Answer 1

The correct Answer is:9 or 9 Approx