Question

Question 2 (20 marks) An initial state of a hydrogen atom is the following linear combination of two stationary states (2,1,1) and (2,1, -1), where the numbers correspond to the following quantum numbers (n, l, mi): 1 Y(r,0) = P211 (a) Construct Yr, t). Simplify it as much as you can. (b) Find the expectation value of the potential energy, (V). Express the actual value in electron volts. Does (V) depend on t? You might need the following expressions: L3 () = 6; Y1(0,0) 3 sin(O) eiq; 87 Y1*(0,0) = sin(O) e-ie. 8π

Answer 1

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3/2 g Rz(») = مهو/3 - zao e 90 e Itto (2403) as r/200 arte) dor = eu 31 4ica (29209) (/zas)" =46-e² 41020 546 = - 13.6 ev <V(x)) =_-68 eV of does napdepend ant CS Scanned with CamScanner