Consider a three-state system with energies E, E and E-3g (where g is a constant) and 1 1 = and 3)= --0--0 -6 respective eigenstates |y)=- If the system is initially (at t = 0), in state ) = (a) 0 1 what is the probability that at a later time t system will be in state y,) = 0 3gt 2 c) + + cos (3 4 (b) sin 3gt 2 E-3gt 2 1 4 (d) sin(1