Question

ANSWER NEEDED IN THE NEXT HOUR PLEASE.

Please explain all your steps in words/coherent sentences. Note that the vectors are in Bra-ket/Dirac form.

(b) In quantum mechanics, it turns out that the overall phase for a state does not have any physical significance. Therefore, you will need to become quick at rearranging the phase of various states. For each of the vectors listed below, rewrite the vector as a new vector, whose top component is real, times an overall complex phase. Te't 2+2i F3-4

Answer 1

Vertical-bar D > = (7 e^i pi/6 3 e^i pi/2 - 1) = e^i pi/6 (7 3 e^i(pi/2 - pi/6) - 1 e^-i pi/6)Vertical-bar D > = e^i pi/6 (7 3 e^+ i pi/3 - 1 e^- i pi/6) we can drop e^ipi/6, since it's a global phaseVertical-bar E > = (i 4) = i (1 - 4i)Vertical-bar E > = e^i pi/2 (1 - 4i) we can drop e^i pi/6Vertical-bar F > = (2 + 2i 3 - 4i) in polar form = (2 squareroot 2 e^i pi/4 5 e^-i tan^-1 (4/3))Vertical-bar F > = e^i pi/4 (2 squareroot 2 5 e^-i(tan^-1 (4/3) - pi/4))