so i'm fine with the kets, e.g, |a>.. but i don't understand what the bras are. the kets are basically just a column vector right? ie the components (with the direction) of the vector being described.(adsbygoogle = window.adsbygoogle || []).push({});

but what is the bra?

this was given to us in class:

<a|=a_{1}<e_{1}|+a_{2}<e_{2}|= (a_{1}^{*}a_{2}^{*})

(where e_{1}and e_{2}are the unit basis vectors)

but why the complex conjugates? where'd they come from?

and the professor gave us this in class:

<a|b>=a_{1}^{*}b_{1}<e_{1}|e_{1}>+a_{1}^{*}b_{2}<e_{1}|e_{2}>+a_{2}^{*}b_{1}<e_{2}|e_{1}>+a_{2}^{*}b_{2}<e_{2}|e_{2}>

i understand the pattern but i am still at a loss as to where this all came from

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# Bra-ket notation confused

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