Operator theory

Operator (physics)

In physics, an operator is a function over a space of physical states onto another space of physical states. The simplest example of the utility of operators is the study of symmetry (which makes the concept of a group useful in this context). Because of this, they are very useful tools in classical mechanics. Operators are even more important in quantum mechanics, where they form an intrinsic part of the formulation of the theory. (Wikipedia).

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Differential operator | Rotation matrix | Norm (mathematics) | Schrödinger equation | Energy operator | Translational symmetry | Generalized coordinates | Vector space | Characteristic polynomial | Pauli matrices | Unit vector | Finite set | Hamiltonian mechanics | Summation | Noether's theorem | Exponential map (Lie theory) | Nabla symbol | Hermitian matrix | Parity (physics) | Group (mathematics) | Kronecker delta | Generator (mathematics) | Identity matrix | Spin (physics) | T-symmetry | C*-algebra | Representation theory | Time translation symmetry | Unitary transformation | Function (mathematics) | Rotational invariance | Orthonormal basis | Self-adjoint | Lagrangian mechanics | Vector potential | Integral | Infinitesimal | Eigenvalues and eigenvectors | Hilbert space | Complex number | Time evolution | Lp space | State space (physics) | Angular momentum operator | Moment of inertia | Symmetry (physics)