I have recently come across the notation <ψ|Φ> in my notes and am not quite sure what it means. Some articles I have read online state that this is analogous to the dot product, except that this is the "dot-product" of 2 wave-functions.
Would I then be right in saying that "ψ" can be taken as a bunch of possible eigen-states in a system, and performing ( <ψ|Φ> )2 provides me with the probabilities of measuring state Φ with its corresponding eigen-energy in that system?
I really do apologize if my question isn't phrased coherently as this is (very literally) all greek to me.
Assistance and clarification is greatly appreciated.