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I am aware that a a state in a space can be written as a linear combination of the basis kets of that space

ψ = ∑ai[ψi]

where ai are coefficients and [ψi]

where ai are coefficients and [ψi]

*are the basis vectors.*

I was just wondering is this a linear superposition of states or just a linear combination?

Can it only be a linear superposition if the basis kets are eigenstates of some operator?

Thank youI was just wondering is this a linear superposition of states or just a linear combination?

Can it only be a linear superposition if the basis kets are eigenstates of some operator?

Thank you