Wow  is a Hermitian operator. [p) is an eigenvector to Å with „cnvalue A . [ø) is also an eigenvector with eigenvalue . Both |4) and |ø) are normalized. µ # À. Compute the following: a. Âlµ) = 14>AY !! b. (øl = <µ lÀ : uI) %3D c. (plÃ]u) = < ¥ ] Al4> = 1<4,4> poporty of Crmation evator d. ((@lÂ)lø) – (wI(Âlø) = | =0 %3D e. Compute (o|Ã\µ) – (ø|Â\µ) to show that |4) and |p) are orthogonal to each other. %3D

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WOw  is a Hermitian operator. lµ) is an eigenvector to Å with
„cnvalue 1. [ø) is also an eigenvector with eigenvalue µ. Both |4)
and lø) are normalized. µ # 1. Compute the following:
a. ¡µ) = 4 > AY
b. (plå = <u l ucV)
c. (plÂ\µ) = < ¥ ] \l4> = 1<4,4>
FOperty of
Hermation
Cvator
ofe. Compute (9|Ã\µ} – (w\Â\µ) to show that |b) and |9) are
orthogonal to each other.
入# MAPN>-0
Transcribed Image Text:WOw  is a Hermitian operator. lµ) is an eigenvector to Å with „cnvalue 1. [ø) is also an eigenvector with eigenvalue µ. Both |4) and lø) are normalized. µ # 1. Compute the following: a. ¡µ) = 4 > AY b. (plå = <u l ucV) c. (plÂ\µ) = < ¥ ] \l4> = 1<4,4> FOperty of Hermation Cvator ofe. Compute (9|Ã\µ} – (w\Â\µ) to show that |b) and |9) are orthogonal to each other. 入# MAPN>-0
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