- harmonic operator
- мат.гармонический оператор
English-Russian scientific dictionary. 2008.
harmonic operator
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Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… … Wikipedia
Harmonic conjugate — For geometric conjugate points, see Projective harmonic conjugates. In mathematics, a function defined on some open domain is said to have as a conjugate a function if and only if they are respectively real and imaginary part of a holomorphic… … Wikipedia
Harmonic coordinate condition — The harmonic coordinate condition is one of several coordinate conditions in general relativity, which make it possible to solve the Einstein field equations. A coordinate system is said to satisfy the harmonic coordinate condition if each of the … Wikipedia
Harmonic polynomial — In mathematics, in abstract algebra, a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial.The harmonic polynomials form a vector subspace of the vector space of polynomials over the field. In fact, they… … Wikipedia
Quantum harmonic oscillator — The quantum harmonic oscillator is the quantum mechanical analogue of the classical harmonic oscillator. It is one of the most important model systems in quantum mechanics because an arbitrary potential can be approximated as a harmonic potential … Wikipedia
Laplace operator — This article is about the mathematical operator. For the Laplace probability distribution, see Laplace distribution. For graph theoretical notion, see Laplacian matrix. Del Squared redirects here. For other uses, see Del Squared (disambiguation) … Wikipedia
Oscillatory integral operator — In mathematics, in the field of harmonic analysis, an oscillatory integral operator is an integral operator of the form where the function is called the phase of the operator and the function is called the symbol of the operator. is a parameter.… … Wikipedia
Anti-symmetric operator — In quantum mechanics, a raising or lowering operator (collectively known as ladder operators) is an operator that increases or decreases the eigenvalue of another operator. In quantum mechanics, the raising operator is sometimes called the… … Wikipedia
Poincaré–Steklov operator — In mathematics, a Poincaré–Steklov operator (after Henri Poincaré and Vladimir Steklov) maps the values of one boundary condition of the solution of an elliptic partial differential equation in a domain to the values of another boundary condition … Wikipedia
List of harmonic analysis topics — This is a list of harmonic analysis topics, by Wikipedia page. See also list of Fourier analysis topics and list of Fourier related transforms, which are more directed towards the classical Fourier series and Fourier transform of mathematical… … 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
