Matrix model
Encyclopedia
The term matrix model may refer to one of several concepts:
- In theoretical physicsTheoretical physicsTheoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
, a matrix model is a system (usually a quantum mechanicalQuantum mechanicsQuantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...
system) with matrix-valued physical quantitiesPhysical quantityA physical quantity is a physical property of a phenomenon, body, or substance, that can be quantified by measurement.-Definition of a physical quantity:Formally, the International Vocabulary of Metrology, 3rd edition defines quantity as:...
. See, for example, Lax pairLax pairIn mathematics, in the theory of integrable systems, a Lax pair is a pair of time-dependent matrices or operators that describe the corresponding differential equations. They were introduced by Peter Lax to discuss solitons in continuous media...
.
- The "old" matrix models are relevant for string theoryString theoryString theory is an active research framework in particle physics that attempts to reconcile quantum mechanics and general relativity. It is a contender for a theory of everything , a manner of describing the known fundamental forces and matter in a mathematically complete system...
in two spacetimeSpacetimeIn physics, spacetime is any mathematical model that combines space and time into a single continuum. Spacetime is usually interpreted with space as being three-dimensional and time playing the role of a fourth dimension that is of a different sort from the spatial dimensions...
dimensions. The "new" matrix model is a synonym for Matrix theory.
- Matrix population modelsMatrix population modelsPopulation models are used in population ecology to model the dynamics of wildlife or human populations. Matrix population models are a specific type of population model that uses matrix algebra...
are used to model wildlife and human population dynamics.
- The Matrix Model of substance abuse treatment was a model developed by the Matrix Institute in the 1980s to treat cocaineCocaineCocaine is a crystalline tropane alkaloid that is obtained from the leaves of the coca plant. The name comes from "coca" in addition to the alkaloid suffix -ine, forming cocaine. It is a stimulant of the central nervous system, an appetite suppressant, and a topical anesthetic...
and methamphetamineMethamphetamineMethamphetamine is a psychostimulant of the phenethylamine and amphetamine class of psychoactive drugs...
addiction.
- A concept from Algebraic logicAlgebraic logicIn mathematical logic, algebraic logic is the study of logic presented in an algebraic style.What is now usually called classical algebraic logic focuses on the identification and algebraic description of models appropriate for the study of various logics and connected problems...
.
- The term "Matrix model" is used to describe Matrix managementMatrix managementMatrix management is a type of organizational management in which people with similar skills are pooled for work assignments. For example, all engineers may be in one engineering department and report to an engineering manager, but these same engineers may be assigned to different projects and...
where each worker in an organisation has two managers, one "functional": managing their expertise, the other "executive": managing their work on an a project.