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In quantum optics, superradiance is a phenomenon that occurs when a group of N emitters, such as excited atoms, interact with a common light field. If the wavelength of the light is much greater than the separation of the emitters, [2] then the emitters interact with the light in a collective and coherent fashion. [3]
Schematic representation of the difference between Dicke superradiance and the superradiant transition of the open Dicke model. The superradiant transition of the open Dicke model is related to, but differs from, Dicke superradiance. Dicke superradiance is a collective phenomenon in which many two-level systems emit photons coherently in free ...
Despite the original model of the superradiance the quantum electromagnetic field is totally neglected here. The oscillators may be assumed to be placed for example on the cubic lattice with the lattice constant in the analogy to the crystal system of the condensed matter. The worse scenario of the defect of the absence of the two out-of-the ...
A classical particle has a definite position and momentum, and hence it is represented by a point in phase space. Given a collection of particles, the probability of finding a particle at a certain position in phase space is specified by a probability distribution, the Liouville density.
Mathematical statistics is the application of probability theory and other mathematical concepts to statistics, as opposed to techniques for collecting statistical data. [1] Specific mathematical techniques that are commonly used in statistics include mathematical analysis , linear algebra , stochastic analysis , differential equations , and ...
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...
For example, the constant π may be defined as the ratio of the length of a circle's circumference to its diameter. The following list includes a decimal expansion and set containing each number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set.
Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
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