Q1(adsbygoogle = window.adsbygoogle || []).push({});

energy no. of times measured

a1 n1

a2 n2

a3 n3

a4 n4

expectation value <E> = (a1n1+a2n2+a3n3+a4n4) / (n1+n2+n3+n4)

is this correct?

Also, how do you caluculate expectation value <E^2> ?

i.e. <E squared>

Q2

Identify if the following functions are eigenfunctions of the parity operator.

a) f(z) = z(a-z)(z+b), where a,b are real numbers

b) f(x) = Ψ(x)xΨ(x), where Ψ(x) is antisymmetric about the origin.

c) same f(x) in b), but where Ψ(x) is symmetric about the origin.

d) f(x) = Ψ(x)x^2Ψ(x) where Ψ(x) is antisymmetric about the origin. x^2 means x squared.

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