Solving KET-BRA Notation in OPW Solid State Physics

[asifmumtaz]

im studing orthogonalized plane wave method(OPW) IN SOLID STATE PHYSICS. during derivation ,i have difficulty.my question is , is a KET-BRA notation acts like an operator? i.e. Ia><bI .please help

 

[Fredrik]

Yes, |a><b| is defined by |a><b| (|u>)= |a>(<b|u>).

 

[JohnSimpson]

If you like to think geometrically, this operator takes the projection of your vector |u> onto the vector |b>, which is just some number, and then creates a vector in the |a> direction scaled by this amount.