[This is a contributed topic entry in progress on Dirac notations and quantum observable algebras.]
(In progress.)
(In progress.)
The Dirac notation (or “bra-ket” notation as commonly known in physics) is used to represent quantum states in quantum mechanics. It was invented by Physics Nobel Laureate Paul A. M. Dirac, and since then has been established as one of the preferred notations in quantum mechanics.
The Dirac notation denotes both the “ket” vector- defined as
- and its transpose vector- defined as
(or “bra” vector). Thus, a “bra-ket” is defined as the inner product
of the two vectors defined above, which is denoted as
.
Then, the Dirac notation also satisifies the following identities:
where
is the “complex conjugate” of
.
As of this snapshot date, this entry was owned by bci1.