- eigenfunction problem
- задача на собственные функции
English-russian dictionary of physics. 2013.
English-russian dictionary of physics. 2013.
Eigenfunction — [ vibrating drum problem is, at any point in time, an eigenfunction of the Laplace s equation on a disk.] In mathematics, an eigenfunction of a linear operator, A , defined on some function space is any non zero function f in that space that… … Wikipedia
Boundary value problem — In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. A solution to a boundary value problem is a solution to the… … Wikipedia
Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… … Wikipedia
Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia
Sturm-Liouville theory — In mathematics and its applications, a classical Sturm Liouville equation, named after Jacques Charles François Sturm (1803 1855) and Joseph Liouville (1809 1882), is a real second order linear differential equation of the formwhere y is a… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… … Wikipedia
Hartree-Fock — In computational physics and computational chemistry, the Hartree Fock (HF) method is an approximate method for the determination of the ground state wavefunction and ground state energy of a quantum many body system.The Hartree Fock method… … Wikipedia
Quantum graph — In mathematics and physics, a quantum graph is a linear, network shaped structure whose time evolution is described by a system of schrödinger equations or, more generally, by a set of evolution equations associated with differential or pseudo… … Wikipedia
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
Gauss–Kuzmin–Wirsing operator — GKW redirects here. For the Indian engineering firm see Guest Keen Williams.In mathematics, the Gauss–Kuzmin–Wirsing operator occurs in the study of continued fractions; it is also related to the Riemann zeta function. IntroductionThe… … Wikipedia