Abeam of ag atoms, each with spin-1/2, is prepared in a way that 60% of the atoms are in the sz = +ħ/2 eigenstate of sz, and 40% are in the eigenstate sx = -ħ/2 of sc. (a) obtain the density matrix at t = 0, in the basis of eigenstates of sz. (b) admit that the atoms are subjected to a magnetic field b = boû, so that the hamiltonian reads, h = us. b (u is the magnetic moment of an atom). obtain the density matrix at time t, in the basis of eigenstates of sz. (c) calculate (sz) at times t = 0 and t.

Show him another sport or something

If your workout exceeds an hour you should substitute "a sports drink" for water.hope my answer has you : )

Distance covered = speed x timethe distance traveled going against the stream = distance traveled with the stream.therefore it is the speed and the time that are the variables.as he travels the same distance both ways, speed x time is the same for each way.going upstream his speed is 4 kph; going downstream his speed is 6 kph.therefore we have two simultaneous equations: time upstream x 4 = time downstream x 6time upstream + time downstream = 60 minutestherefore we have the equation: time upstream = 6/10 hour, time downstream therefore = 4/10 hour.distance traveled at 4km/hr in 6/10 hour = 24/10 = 2.4km.check: distance traveled at 6km/hr in 4/10 hour = 24/10 = 2.4km.