self-adjoint

Adjective

Meaning

(mathematics) Adjoint to itself.

(functional analysis) Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space.

Examples

Each observable is represented by a maximally Hermitian (precisely: by a self-adjoint ) linear operator acting on the state space. Source: Internet

If A is a self-adjoint operator, then is always a real number (not complex). Source: Internet

It is possible to formulate mechanics in such a way that time becomes itself an observable associated to a self-adjoint operator. Source: Internet

The case when is self-adjoint, i.e. is sometimes known as Kadison's inequality. Source: Internet

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