This basically tells you that every QM state is a superposition of several wf (wf collapse) also that the density matrix is normalised if the wf is real (superimposed). Is it or dam I begin stupid again?
A set of states (vectors) { |n〉} forms a "complete basis" if any state |ψ〉can be written as a linear combination of them
In QM, |n〉are normalized eigenstates of the hamiltonian H
Using orthogonality, we then arrive at this beautifully succinct condition for completenesspic.twitter.com/8qdbfDIwRY
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The first thing just says that an arbitrary state can be decomposed into eigenstates of any observable. That’s known as superposition. The density matrix is a bit different. That has to do with *classical* uncertainty, not quantum
End of conversation
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