energy eigenvalue

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• Energy eigenstates — The Energy eigenstates of a quantum system are the set of eigenvalues and eigenvectors obtained by solving the time independent Schrödinger equation for the system in question,:hat{H}Psi n=E nPsi n:where hat{H} is the time independent Hamiltonian …   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

• eigenvalue — /uy geuhn val yooh/, n. Math. See characteristic root. [1925 30; partial trans. of G Eigenwert, equiv. to eigen characteristic, particular + Wert VALUE] * * * In mathematical analysis, one of a set of discrete values of a parameter, k, in an… …   Universalium

• Energy level — A quantum mechanical system or particle that is bound that is, confined spatially can only take on certain discrete values of energy. This contrasts with classical particles, which can have any energy. These discrete values are called energy… …   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

• Degenerate energy level — This article is about different quantum states having the same energy. For other uses, see Degeneracy. In physics, two or more different quantum states are said to be degenerate if they are all at the same energy level. Statistically this means… …   Wikipedia

• Dirichlet eigenvalue — In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape. The problem of whether one can hear the shape of a drum is: given the Dirichlet eigenvalues, what features of the shape of… …   Wikipedia

• Born-Oppenheimer approximation — In quantum chemistry, the computation of the energy and wavefunction of an average size molecule is a formidable task that is alleviated by the Born Oppenheimer (BO) approximation. For instance the benzene molecule consists of 12 nuclei and 42… …   Wikipedia

• Diffusion Monte Carlo — (DMC) is a quantum Monte Carlo method that uses a Green s function to solve the Schrödinger equation. DMC is potentially numerically exact, meaning that it can find the exact ground state energy within a given error for any quantum system. When… …   Wikipedia

• Particle in a box — In physics, the particle in a box (also known as the infinite potential well or the infinite square well) is a problem consisting of a single particle inside of an infinitely deep potential well, from which it cannot escape, and which loses no… …   Wikipedia

• Euler's three-body problem — In physics and astronomy, Euler s three body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other point masses that are either fixed in space or move in circular coplanar orbits about their… …   Wikipedia