hermitian

Adjective

Meaning

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

Source: en.wiktionary.org

Related terms

hermicity hermitize hermiticity

Phrases with the word

hermitian transpose Hermitian adjoint Hermitian bilinear form Hermitian conjugate matrix Hermitian conjugate operator Hermitian form

Examples

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

Close letter words and terms

Hermite polynomial hermitess hermithood Hermitian adjoint Hermitian bilinear form Hermitian conjugate