Conjugate transpose: Difference between revisions

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can be used to define the ''adjoint operator'' ''A''^*, by means of the [[Riesz representation theorem]].

WhereWhen working in [[Hilbert space]], a speciallyespecially with the [[bra-ket notation]], the '''adjoint operator''' - callledcalled the '''Hermitian Conjugate''', which we notatesdenoted as <math>A^{\dagger}</math>, is defined by the relation

:<math> \lang \phi | (A|\psi) \rang = \lang (A^{\dagger}\phi) | \psi) \rang </math>