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Bra–ket notation
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{{short description|Notation for quantum states}} {{Cleanup reorganize|date=February 2023}} {{Quantum mechanics|cTopic=Background}} '''Bra–ket notation''', also called '''Dirac notation''', is a notation for [[linear algebra]] and [[linear operator]]s on [[complex vector space]]s together with their [[dual space]] both in the finite-dimensional and infinite-dimensional case. It is specifically designed to ease the types of calculations that frequently come up in [[quantum mechanics]]. Its use in quantum mechanics is quite widespread. Bra–ket notation was created by [[Paul Dirac]] in his 1939 publication ''A New Notation for Quantum Mechanics''. The notation was introduced as an easier way to write quantum mechanical expressions.<ref name=Dirac>{{harvnb|Dirac|1939}}</ref> The name comes from the English word "bracket".
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