Let the matrix representation of the hamiltonian of a three-state system be eo o a h = 0 e 0 la o eo, using the basis states (1), (2), and 3). a) if the state of the system at time t = 0 is v(0)) = 12), what is the probability that the system is in state 2) at time t? b) if, instead, the state of the system at time t = 0 is \v (0)) = 3), what is the probability that the system is in state 3) at time t?

Auniform electric field exists in the region between two oppositely charged plane parallel plates separated by a distance of 1.60 cm . a proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate in a time interval of 3.20×10-6 s. 1-find the magnitude of the electric field. use 1.60×10-19c for the magnitude of the charge on an electron and 1.67×10-27kg for the mass of a proton 2-find the speed of the proton when it strikes the negatively charged plate