Answer Happy

1.8) A hydrogen atom is in the state In,1,m) = 12,1,0). At the time 1 = 0 it is placed in a time-dependent electric field E = Ege fu+2E,e tu,, where E, and r are constants and u, and u, are the unit vectors in the x and y directions. This results in a time-dependent perturbation eEr, where e is the elementary charge and † the position operator of the electron with respect to the nucleus. Using first-order time-dependent perturbation theory, calculate the probability of finding the hydrogen atom in the state 5,3,1) for any time => 0. [6 marks)
1.8) A hydrogen atom is in the state In,1,m) = 12,1,0). At the time 1 = 0 it is placed in a time-dependent electric field E = Ege fu+2E,e tu,, where E, and r are constants and u, and u, are the unit vectors in the x and y directions. This results in a time-dependent perturbation eEr, where e is the elementary charge and † the position operator of the electron with respect to the nucleus. Using first-order time-dependent perturbation theory, calculate the probability of finding the hydrogen atom in the state 5,3,1) for any time => 0. [6 marks)
• In first-order time-dependent perturbation theory, the probability amplitude C--) for a transition due to the time-dependent perturbation (x,1) from the state ®) to the state Mw) is: di ©(o)=(. )(37) a delen av