I Do All Physical States Satisfy the Hamiltonian Equation Hψ = Eψ?

Pyrus96
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I came across a previous exam question which stated: Do all physical states, ψ, abide to Hψ = Eψ. I thought about it for a while, but I'm not really sure.
 
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Pyrus96 said:
Do all physical states, ψ, abide to Hψ = Eψ
Not all, only eigenstates of the (time-independent) Hamiltonian satisfy that equation.
 
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