Physics: bra-ket\bra

\braCommand

Used in Dirac bra-ket notation to denote a bra vector in quantum mechanics expressions.

\bra a
Available in
braket, physics
Kind
prefix
Allowed mode
math
Frequency
Not measured
Commonality
low
Renderer support
PackageMathJaxKaTeXXeTeX
braketMathJax: FullKaTeX: FullXeTeX: None
physicsMathJax: FullKaTeX: FullXeTeX: Full
About the test scope

Syntax#

\bram{a}math content

Argspec m — one mandatory argument. In braket. Reading argspecs

\bras*starm{a}math content

Argspec s m — one optional and one mandatory argument. In physics. Reading argspecs

Examples#

physics

\bra{a}

physics

\bra*{\psi}

Package variants#

PackageSignatureAllowed modeNotes
braketmmathUsed in Dirac bra-ket notation to denote a bra vector in quantum mechanics expressions.
physicss mmathUsed to denote a bra vector in quantum mechanics.

In TeXForm#

TeXForm parses this entry as prefix syntax; the package determines its argument specification.

Expands to (braket)#

\bra{#1} {\langle {#1} \vert}

MathJax reads #1 with GetArgument, so a single token can be used without braces.

Expands to (physics)#

\bra{#1} \left\langle{#1}\right\vert{}

If starred (\bra*{#1}), expands to \langle{#1}\vert. If immediately followed by \ket{...}, merges into a combined bra-ket representation.

physics/physics-bra-expandfrom Faithfulrender

Expand bra to an explicit angle-bracket and bar fence form.

\bra{#1} \left\langle #1 \right\vert

Equivalent forms#

  • {\langle {#1} \vert}exact
  • \langle #1 \vertapproximate

    Equivalent to the starred form \bra*{#1}.

  • \left\langle #1 \right\vertapproximate

    Equivalent to the unstarred form, ignoring the trailing empty group.

See also#

Test cases#

braket
InputCaseMathJaxKaTeXXeTeX
\bra{a}Positive · baselinePassPassFail
\bra aPositive · bare[0]PassPassFail
physics
InputCaseMathJaxKaTeXXeTeX
\bra{a}Positive · baselinePassPassPass
\bra*{a}Positive · vary:s[0]PassPassPass
\bra aPositive · bare[1]PassPassPass
All 22 in Physics: bra-ket