Changes

== Othogonality of Bras and Kets ==

== Orthogonality of Bras and Kets ==

Because the bracket represents an inner product, certain concepts from [[linear algebra]] will continue to play a role.  One is that of [[orthogonality]].  By using the [[Gram-Schmidt Process]], and set of linearly independent kets can be orthogonalized, and we may often times assume that such a procedure has been carried out.  In addition, because of the probabilistic interpretation of [[wave mechanics]], we may actually take the kets to be normalized.  In the Dirac Notation, the normalization condition reads:

Because the bracket represents an inner product, certain concepts from [[linear algebra]] will continue to play a role.  One is that of [[orthogonality]].  By using the [[Gram-Schmidt Process]], and set of linearly independent kets can be orthogonalized, and we may often times assume that such a procedure has been carried out.  In addition, because of the probabilistic interpretation of [[wave mechanics]], we may actually take the kets to be normalized.  In the Dirac Notation, the normalization condition reads: