# Eigenfunctions v.s. eigenstates

Is there a difference between "eigenfunction" and "eigenstate"? They seem to be used interchangeably in texts, which is confusing. My guess is that an "eigenfunction" has an explicit representation/argument, e.g. in terms of position, $x$, whereas an "eigenstate" is abstract.

Thanks in advance for any clarification! :)

But then again, some texts violate this rule, so I'm prolly wrong...

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Yes, they are practically synonyms. Because any wave function is a valid representative of a state. –  Vladimir Kalitvianski Sep 1 '11 at 14:50