BraKet

BraKet[{b₁,b₂,…},{k₁,k₂,…}]

displays as $TemplateBox[{{{b, _, {(, 1, )}}, ,, {b, _, {(, 2, )}}, ,, ...}, {{k, _, {(, 1, )}}, ,, {k, _, {(, 2, )}}, ,, ...}}, BraKet]$ .

Details

BraKet[{b₁,b₂,…},{k₁,k₂,…}] has no built-in meaning.
$TemplateBox[{{{b, _, {(, 1, )}}, ,, {b, _, {(, 2, )}}, ,, ...}, {{k, _, {(, 1, )}}, ,, {k, _, {(, 2, )}}, ,, ...}}, BraKet]$ is by default interpreted as BraKet[{b₁,b₂,…},{k₁,k₂,…}].
An empty template can be entered as braket.

Examples

Basic Examples (3)

BraKet[{b},{k}] is formatted as a bra-ket in Dirac notation:

Define the orthogonality of a class of basis vectors:

Clear definitions:

Use braket to create an empty template and to move between sides:

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