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Hermicity

Noun

Definitionen

1.NounThe quality that an operator has of being Hermitian.
"Unitarity is to hermicity what orthogonality is to symmetry. (That is, conjugation by unitary matrices preserves a Hermitian matrix’s hermicity, just as conjugation by orthogonal matrices preserves a symmetric matrix’s symmetry: ( O S O − 1 ) T = ( O S O T ) T = O T T S T O T = O S O T = O S O − 1 {\displaystyle (OSO^{-1})^{T}=(OSO^{T})^{T}=O^{TT}S^{T}O^{T}=OSO^{T}=OSO^{-1}} ; ( U H U − 1 ) † = ( U H U † ) † = U † † H † U † = U H U † = U H U − 1 {\displaystyle (UHU^{-1})^{\dagger }=(UHU^{\dagger })^{\dagger }=U^{\dagger \dagger }H^{\dagger }U^{\dagger }=UHU^{\dagger }=UHU^{-1}} ."
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