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Everything about Operator (physics)
Function acting on the space of physical states in physics
An operator is a function over a space of physical states onto another space of states. The simplest example of the utility of operators is the study of symmetry. Because of this, they are 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. They play a central role in describing observables. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Operator (physics)A 5-minute orientation
- Skim a recent paper: Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks and Operators in Scientific Computing: Fluid and Solid MechanicsInfluential work since 2022
- Pick up a classic book: Moonshine beyond the MonsterThe most-reprinted book on the subject
- Read the landmark paper: Physics-Informed Neural Operator for Learning Partial Differential EquationsCited 217 times
- Go sideways: Angular momentum operatorA closely related topic
- Go sideways: Expectation value (quantum mechanics)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Physics-Informed Neural Operator for Learning Partial Differential Equations
Operator analysis for precision electroweak physics
Operator analysis of new physics
Unitary-Model-Operator Approach to Nuclear-Structure Physics. I
Kaon photoproduction operator for use in nuclear physics
Unitary-Model-Operator Approach to Nuclear-Structure Physics. II. Applications
Multifidelity deep operator networks for data-driven and physics-informed problems
The Physics Superselection Principle in Vertex Operator Algebra Theory
🆕 Influential since 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks and Operators in Scientific Computing: Fluid and Solid Mechanics
Variational Physics-informed Neural Operator (VINO) for solving partial differential equations
Physics‐informed neural operator solver and super‐resolution for solid mechanics
Physics-Informed Geometry-Aware Neural Operator
Adaptive physics-informed neural operator for coarse-grained non-equilibrium flows
📚 Books worth reading
Moonshine beyond the MonsterTerry Gannon · 2006
Case FilesEugene C. Toy, Terrence H. Liu · 2002
Colloid and surface properties of clays and related mineralsRossman F Giese, Rossman F. Giese · 2002
Mathematical methods in physicsPhilippe Blanchard · 2002
LogisticsHessel Visser · 2006
European Distribution and Supply Chain LogisticsAd R. Van Goor, Walther Ploos van Amstel · 2003- 📕The effects of a group-oriented contingency management system on behaviorally disordered students in physical educationE. William Vogler · 1980
Traffic Flow DynamicsMartin Treiber, Arne Kesting · 2012
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Angular momentum operator In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator…
- Expectation value (quantum mechanics) In quantum mechanics, the expectation value is the probabilistic expected value of the result (measurement) of an experiment. It can be thought of as an…
- Degenerate energy levels In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system. Conversely, two or…
- Bra–ket notation Bra–ket notation or Dirac notation is a mathematical notation for linear algebra and linear operators on complex vector spaces together with their dual…
- Position and momentum spaces In physics and geometry, there are two closely related vector spaces, usually three-dimensional but in general of any finite dimension. Position space…
- Wave function In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common…
- Observable In physics, an observable is a physical property or physical quantity that can be measured. In classical mechanics, an observable is a real-valued "function"…
- Eigenfunction In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by…