Question 1 If can be normalized to unity and assuming that

Question #1: If |> can be normalized to unity and assuming that an operator A = |> <|, show that A² = A.

Solution

|> can be normalised to unity and the value of A is given byA = |> <| it represents also a unity value.

since | | gives normalised value, A = |> <| here the value of A is in around unity so square of A also A