According to A Borobantu, regarding superposition, where Ψ is a state vector or a wave amplitude, given Ψ(adsbygoogle = window.adsbygoogle || []).push({}); _{1}, Ψ_{3}, Ψ_{3}... Ψ_{n}can by physically realized, then the following statement holds for all linear combinations

Ψ = ∑c_{i}Ψ_{i}

where c_{i}can satisfy 1 = ∑|c_{k}|^{2}to be called a complete and closed system.

then a generalized linear statement is

Ψ =e^{iθ1}Ψ_{1}+ e^{iθ2}Ψ_{2}+....e^{iθn}Ψ_{n}

any input appreciated please. what ever insights you may have would be greatly appreciated please.

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# I Example of a linear combination, anyone have any insights?

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