bra - ket?? Hi, maybe a stupid question, but i would like to know if, if We have a real number, but we are i a vector space, and the operator is hermitian, is |a> is equal to < a |*? i assume this, because if a is the vector (1,0) (spin up), and only real entries. im trying to make ((Sy|a>) |b>) to ((<a|Sy)|b>) somehow..if both a and b are real..plz solve this mess I am talking about Sx, Sy, Sz is hermitian operators.. and these are operating.. are these 3 hermitian conjugates to each other? i might add, that Sy can ONLY operate on the 'a' state ( <a| or |a>) and, finally, how would you write out <a|Sy?, is it a vector?