(2a) cos 0. QUESTION 2: Consider the Hydrogen atom eigenstate 2,1,0 = Nre (a) Find the normalisation constant N of 2,1,0, assuming that it is a positive and real number. (b) Find the expectation value of Î₂ = −iħ for the state ¥2,1,0- (c) Derive the expectation values (r) and (r²) and the uncertainty Ar for the state 2,1,0. Hint: you may use without proof the formula forne-r/c = n!c²+1

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QUESTION 2: Consider the Hydrogen atom eigenstate 2,1,0
(a) Find the normalisation constant N of 2,1,0, assuming that it is a positive and real number.
(b) Find the expectation value of Î₂ = −iħ for the state 2,1,0.
66
(c) Derive the expectation values (r) and (r²) and the uncertainty Ar for the state 2,1,0.
Hint: you may use without proof the formula forne-r/c = n!c²+¹₁
Nre-r/(2a)
Cos 0.
Transcribed Image Text:QUESTION 2: Consider the Hydrogen atom eigenstate 2,1,0 (a) Find the normalisation constant N of 2,1,0, assuming that it is a positive and real number. (b) Find the expectation value of Î₂ = −iħ for the state 2,1,0. 66 (c) Derive the expectation values (r) and (r²) and the uncertainty Ar for the state 2,1,0. Hint: you may use without proof the formula forne-r/c = n!c²+¹₁ Nre-r/(2a) Cos 0.
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