angular momentum eigenfunction
1Wave 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… …
2Eigenvalues 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… …
3Particle in a ring — In quantum mechanics, the case of a particle in a one dimensional ring is similar to the particle in a box. The Schrödinger equation for a free particle which is restricted to a ring (technically, whose configuration space is the circle S^1) is …
4Parity (physics) — Flavour in particle physics Flavour quantum numbers: Isospin: I or I3 Charm: C Strangeness: S Topness: T Bottomness: B′ Related quantum numbers: Baryon number: B Lepton number: L Weak isospin: T or T3 Electric charge: Q …
5Wigner D-matrix — The Wigner D matrix is a matrix in an irreducible representation of the groups SU(2) and SO(3). The complex conjugate of the D matrix is an eigenfunction of the Hamiltonian of spherical and symmetric rigid rotors. Definition Wigner D matrix Let j …
6Quantum 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… …
7Particle in a spherically symmetric potential — In quantum mechanics, the particle in a spherically symmetric potential describes the dynamics of a particle in a potential which has spherical symmetry. The Hamiltonian for such a system has the form:hat{H} = frac{hat{p}^2}{2m 0} + V(r)where m 0 …
8eigenvalue — /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… …
9Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …
