Adjective
Hermitian (not comparable)
(mathematics, of an operator) Equal to its own transpose conjugate.
If φ=φ then φ is Hermitian.
Synonym: self-adjoint
hermitian
Alternative letter-case form of Hermitian
According to the postulates of quantum mechanics, such quantities are defined by Hermitian operators that act on the Hilbert space of possible states of a system. Source: Internet
A Hermitian matrix is positive semidefinite if and only if all of its principal minors are nonnegative. Source: Internet
A Hermitian matrix is positive definite if all its eigenvalues are positive. Source: Internet
Hermitian vector spaces and spinors If the vector space V has extra structure that provides a decomposition of its complexification into two maximal isotropic subspaces, then the definition of spinors (by either method) becomes natural. Source: Internet
Each observable is represented by a maximally Hermitian (precisely: by a self-adjoint ) linear operator acting on the state space. Source: Internet
Conjugate symmetry is also called Hermitian symmetry, and a conjugate symmetric sesquilinear form is called a Hermitian form. Source: Internet