Let f(Λ) be any function of the hermitian operator Λ.
Then f(Λ) can be expanded in terms of its eigenvectors and by replacing Λ with its eigenvaluespic.twitter.com/ErEwRmyQLf
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𝐑𝐞𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧 𝐨𝐟 𝐈𝐝𝐞𝐧𝐭𝐢𝐭𝐲
Let { | λᵢ 〉 } be the eigenvectors of a Hermitian operator Λ.
We can write the identity operator as a sum over the outer product of its eigenvectors
{ | λᵢ 〉 } is then said to form a complete basis for the vector spacepic.twitter.com/5R6gS6GObI
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Thanks. Twitter will use this to make your timeline better. UndoUndo
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Wonder if you ever did a one on delta function? Would be awesome!
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hold on.. I have an older one I'll retweet
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What’s the physical meaning of eigen values and eigen vector?
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Very informally, you can only define the result of a measurement in a meaningful way, if you measure a system in its eigenstate. Remember that the act of measurement is represented by an action of a self-adjoint operator. See Dirac's classic text for the full discussion.
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