Adjoint Operator

- Modern Physics -
Quantum Mechanics Dictionary
Definition

A quantum mechanics concept defining a model element, mathematical object, or experimental method used to predict measurable outcomes. It applies when required assumptions and definitions are specified and yields computable probabilities and expectation values. It does not ensure correctness without validation of approximations, numerical stability, and consistency of units and conventions.

Adjoint Operator

Natural & Formal Sciences Dictionary
Definition
Given a linear operator A between inner-product spaces, its adjoint A* is the operator that satisfies ⟨A x, y⟩ = ⟨x, A* y⟩ for all vectors x and y in the domains where both sides are defined.