unitary operator

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• Unitary operator — For unitarity in physics, see unitarity (physics). In functional analysis, a branch of mathematics, a unitary operator (not to be confused with a unity operator) is a bounded linear operator U : H → H on a Hilbert space H… …   Wikipedia

• unitary operator — unitarinis operatorius statusas T sritis fizika atitikmenys: angl. unitary operator vok. unitärer Operator, m rus. унитарный оператор, m pranc. opérateur unitaire, m …   Fizikos terminų žodynas

• Unitary — may refer to:* In automotive design, unitary construction is another common term for a unibody or monocoque construction * In Christian doctrine, unitarianism is the belief in a unitary God as opposed to the concept of the Trinity. ** Unitarian… …   Wikipedia

• Unitary representation — In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π( g ) is a unitary operator for every g ∈ G . The general theory is well developed in case G is a locally compact… …   Wikipedia

• Unitary transformation — Informally, a unitary transformation is a transformation that respects the dot product: the dot product of two vectors before the transformation is equal to their dot product after the transformation. More precisely, a unitary transformation is… …   Wikipedia

• Unitary matrix — In mathematics, a unitary matrix is an n by n complex matrix U satisfying the condition:U^* U = UU^* = I n, where I n, is the identity matrix and U^* , is the conjugate transpose (also called the Hermitian adjoint) of U . Note this condition says …   Wikipedia

• unitary — 1. adjective a) Having the quality of oneness. Ex. b) Relating to a system of government in which sovereign power is concentrated in a single body instead of being shared or possessed by more local bodies. Ex. Ant: federalist …   Wiktionary

• Unitary equivalence — *For unitary equivalence of bounded operators in Hilbert space, see self adjoint operator. *For unitary equivalence of unitary representations see that page …   Wikipedia

• Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 …   Wikipedia

• 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

• Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia