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Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear … Wikipedia
Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… … Wikipedia
Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… … Wikipedia
Foldy-Wouthuysen transformation — THIS IS A NEW ARTICLE, WOULD APPRECIATE REVIEW BY OTHERS WITH EXPERTISEThe Foldy Wouthuysen (FW) transformation is a unitary transformation on a fermion wave function of the form::psi o psi =Upsi (1) where the unitary operator is the 4x4… … 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
Matrix mechanics — Quantum mechanics Uncertainty principle … Wikipedia
Standard Model (mathematical formulation) — For a basic description, see the article on the Standard Model .This is a detailed description of the standard model (SM) of particle physics. It describes how the leptons, quarks, gauge bosons and the Higgs particle fit together. It gives an… … Wikipedia
diagonalizable — adj. (Math.) able to be diagonalized; of a matrix. [PJC] … The Collaborative International Dictionary of English
diagonal matrix — noun Date: 1927 a diagonalized matrix … New Collegiate Dictionary
List of equations in classical mechanics — ;Nomenclature: a = acceleration (m/s sup2;): g = gravitational field strength/acceleration in free fall (m/s sup2;): F = force (N = kg m/s sup2;): E k = kinetic energy (J = kg m sup2;/s sup2;): E p = potential energy (J = kg m sup2;/s sup2;): m … Wikipedia
