Question

orbital angular momentum

For an orbital angular momentum, measurement of L and Lz produces ħ²1 (1+ 1) and mħ respectively. What are the values of < Lx > and AL,? Assume 1 = 1, m probability for Lx = -ħ? 1, what is the

Answer 1

Given that measunment of 2² and la produces h21 (1+1), mt 30 l=l. med. Itt) is eigen steete of 22=tloool with Eigen value to O 01 <(x) = {111 în 111) ololo <I16x) = (1003) lo lo +? To lolo o To lolo 10 lo 2 o 10 cues C1/12 10) = 1,00) 1. 02.) 10 مدافع امم

Dlx = [2) - (2x)2 = 1 - 2 since stelte of în are (x-1)= + 1 h) for Eigen value- pod= - ( for Eigen vale a (x) = † (v) fes Eigen valletto Noco 16) – a 101) +b|xo) + C (21) Now 뜰음들에 qvo + { vi = 0 =) a=-c-O - Ytbur+%=0 H -c- blue = 1 -ct blue =0 -20 = 2 = -12 a=+2 be tric=-1/2 111) = {1x-)- to 1x0) - }|241) prabability for lx = -t is = Kx,)11) 1² = 12 = 1/4
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