different between hermitian vs hermicity

hermitian

English

Adjective

hermitian

Alternative letter-case form of Hermitian

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hermicity

English

Noun

hermicity (uncountable)

The 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: $(OSO^{-1})^{T}=(OSO^{T})^{T}=O^{TT}S^{T}O^{T}=OSO^{T}=OSO^{-1}$ ; $(UHU^{-1})^{\dagger }=(UHU^{\dagger })^{\dagger }=U^{\dagger \dagger }H^{\dagger }U^{\dagger }=UHU^{\dagger }=UHU^{-1}$ .

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khonch meaning

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