eigenvalue spectrum

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• eigenvalue spectrum — tikrinių verčių spektras statusas T sritis fizika atitikmenys: angl. eigenvalue spectrum vok. Eigenwertspektrum, n rus. спектр собственных значений, m pranc. spectre des valeurs propres, m …   Fizikos terminų žodynas

• Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …   Wikipedia

• Spectrum (functional analysis) — In functional analysis, the concept of the spectrum of a bounded operator is a generalisation of the concept of eigenvalues for matrices. Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if… …   Wikipedia

• Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… …   Wikipedia

• Continuous spectrum — The spectrum of a linear operator is commonly divided into three parts: point spectrum, continuous spectrum, and residual spectrum. If H is a topological vector space and is a linear map, the spectrum of A is the set of complex numbers λ such… …   Wikipedia

• Cheng's eigenvalue comparison theorem — In Riemannian geometry, Cheng s eigenvalue comparison theorem states in general terms that when a domain is large, the first Dirichlet eigenvalue of its Laplace–Beltrami operator is small. This general characterization is not precise, in part… …   Wikipedia

• Emission spectrum — The emission spectrum of a chemical element or chemical compound is the spectrum of frequencies of electromagnetic radiation emitted by the element s atoms or the compound s molecules when they are returned to a lower energy state. Each element s …   Wikipedia

• Essential spectrum — In mathematics, the essential spectrum of a bounded operator is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, fails badly to be invertible .The essential spectrum of self adjoint operatorsIn… …   Wikipedia

• Folded spectrum method — In mathematics, the folded spectrum method (FSM) is a iterative method for solving large eigenvalue problems.Here you always find a vector with an eigenvalue close to a search value varepsilon. This means you can get a vector Psi in the middle of …   Wikipedia

• Energy spectrum — An energy spectrum is a distribution of energy among a large assemblage of particles. It is a statistical representation of the wave energy as a function of the wave frequency, and an empirical estimator of the spectral function. For any given… …   Wikipedia

• Dirac spectrum — In mathematics, a Dirac spectrum, named after Paul Dirac, is the spectrum of eigenvalues of a Dirac operator on a Riemannian manifold with a spin structure. The isospectral problem for the Dirac spectrum asks whether two Riemannian spin manifolds …   Wikipedia