The wave function for a Hydrogen atom, at time t = 0 is: |M) = Vio (21.0,0) + 2,1,0) + v? 2,1,1) + v3 |2, 1, –1). 2|1,0,0 considering that the notation is n,l, mi). If spin and radioactive transitions are ignored. a) Calculate the expectation value. b) Calculate the wave function at arbitrary time t. c) What is the probability of finding the system in the state with I = 1 andm = 1, as a function of time? d) What is the probability of finding the electron at a distance of 10 ^-10cm. of the proton? (at t = 0). %3D

The wave function for a Hydrogen atom, at time t = 0 is: |M) = Vio (21.0,0) + 2,1,0) + v? 2,1,1) + v3 |2, 1, –1). 2|1,0,0 considering that the notation is n,l, mi). If spin and radioactive transitions are ignored. a) Calculate the expectation value. b) Calculate the wave function at arbitrary time t. c) What is the probability of finding the system in the state with I = 1 andm = 1, as a function of time? d) What is the probability of finding the electron at a distance of 10 ^-10cm. of the proton? (at t = 0). %3D