Linear 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.
Linear Operator
- Natural & Formal Sciences -
Mathematics & Logic Dictionary
Definition
A mapping between vector spaces (or subspaces) that preserves vector addition and scalar multiplication: for all vectors u, v and scalars α, β, L(αu + βv) = αL(u) + βL(v); often realized on function spaces in analysis.