A surprising operator

  • Thread starter asifmumtaz
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  • #1

Main Question or Discussion Point

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 .plz help
 

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  • #2
Fredrik
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Yes, |a><b| is defined by |a><b| (|u>)= |a>(<b|u>).
 
  • #3
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.
 

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