Hermicity
noun ·Rare ·Advanced level
Definitions
- 1 The quality that an operator has of being Hermitian. uncountable
"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=(OSOᵀ)ᵀ=OᵀᵀSᵀOᵀ=OSOᵀ=OSO⁻¹; (UHU⁻¹)^†=(UHU^†)^†=UH^†U^†=UHU^†=UHU⁻¹."
Example
More examples"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=(OSOᵀ)ᵀ=OᵀᵀSᵀOᵀ=OSOᵀ=OSO⁻¹; (UHU⁻¹)^†=(UHU^†)^†=UH^†U^†=UHU^†=UHU⁻¹."
More for "hermicity"
Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.