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Angle Bracket

The combination of a Bra and Ket (bra+ket = bracket) which represents the Inner Product of two functions or vectors,

\begin{displaymath}
\left\langle{f\vert g}\right\rangle{}=\int f(x)g(x)\,dx
\end{displaymath}


\begin{displaymath}
\left\langle{{\bf v}\vert{\bf w}}\right\rangle{} = {\bf v}\cdot{\bf w}.
\end{displaymath}

By itself, the Bra is a Covariant 1-Vector, and the Ket is a Covariant One-Form. These terms are commonly used in quantum mechanics.

See also Bra, Differential k-Form, Ket, One-Form




© 1996-9 Eric W. Weisstein
1999-05-25