exponential operator

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• Operator (physics) — In physics, an operator is a function acting on the space of physical states. As a result of its application on a physical state, another physical state is obtained, very often along with some extra relevant information. The simplest example of… …   Wikipedia

• Exponential decay — A quantity undergoing exponential decay. Larger decay constants make the quantity vanish much more rapidly. This plot shows decay for decay constants of 25, 5, 1, 1/5, and 1/25 for x from 0 to 5. A quantity is said to be subject to exponential… …   Wikipedia

• Exponential utility — In economics exponential utility refers to a specific form of the utility function, used in many contexts because of its convenience when uncertainty is present. Formally, exponential utility is given by::u(c)= e^{ a c},where c is consumption and …   Wikipedia

• Exponential — Die Mathematik bezeichnet als Exponentialfunktion eine Funktion der Form mit der Basis . In der gebräuchlichsten Form sind dabei für den Exponenten x die reellen Zahlen zugelassen. Im Gegensatz zu den Potenzfunktionen, bei denen die Basis die… …   Deutsch Wikipedia

• Fourier operator — The Fourier operator is the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform.It may be thought of as a limiting case for when the size of the discrete Fourier transform increases without bound while… …   Wikipedia

• Stirling numbers and exponential generating functions — The use of exponential generating functions or EGFs to study the properties of Stirling numbers is a classical exercise in combinatorics and possibly the canonical example of how symbolic combinatorics, the method that encapsulates the… …   Wikipedia

• Ordered exponential — The ordered exponential (also called the path ordered exponential) is a mathematical object, defined in non commutative algebras, which is equivalent to the exponential function of the integral in the commutative algebras. Therefore it is a… …   Wikipedia

• Squeeze operator — The squeeze operator for a single mode is:hat{S}(z) = exp left ( {1 over 2} (z^* hat{a}^2 z hat{a}^{dagger 2}) ight ) , qquad z = r e^{i heta}where the operators inside the exponential are the ladder operators. The squeeze operator is ubiquitous… …   Wikipedia

• Szász-Mirakyan operator — In functional analysis, a discipline within mathematics, the Szász Mirakjan [Also spelled Mirakyan and Mirakian ] operators are generalizations of Bernstein polynomials to infinite intervals. They are defined by:left [mathcal{S} n(f) ight]… …   Wikipedia

• Favard operator — In functional analysis, a branch of mathematics, the Favard operators are defined by:: [mathcal{F} n(f)] (x) = frac{sqrt{n{nsqrt{cpi sum {k= infty}^infty {exp{left({frac{ n}{c} {left({frac{k}{n} x} ight)}^2 } ight)} fleft(frac{k}{n} ight)}where… …   Wikipedia

• Coupled cluster — Electronic structure methods Tight binding Nearly free electron model Hartree–Fock method Modern valence bond Generalized valence bond Møller–Plesset perturbation theory …   Wikipedia