one-parameter group
51Stone–von Neumann theorem — In mathematics and in theoretical physics, the Stone–von Neumann theorem is any one of a number of different formulations of the uniqueness of the canonical commutation relations between position and momentum operators. The name is for Marshall… …
52List of mathematics articles (O) — NOTOC O O minimal theory O Nan group O(n) Obelus Oberwolfach Prize Object of the mind Object theory Oblate spheroid Oblate spheroidal coordinates Oblique projection Oblique reflection Observability Observability Gramian Observable subgroup… …
53Symplectomorphism — In mathematics, a symplectomorphism is an isomorphism in the category of symplectic manifolds. Formal definitionSpecifically, let ( M 1, omega;1) and ( M 2, omega;2) be symplectic manifolds. A map : f : M 1 rarr; M 2 is a symplectomorphism if it… …
54Resolvent formalism — In mathematics, the resolvent formalism is a technique for applying concepts from complex analysis to the study of the spectrum of operators on Hilbert spaces and more general spaces.The resolvent captures the spectral properties of an operator… …
55Variational vector field — In the mathematical fields of the calculus of variations and differential geometry, the variational vector field is a certain type of vector field defined on the tangent bundle of a differentiable manifold which gives rise to variations along a… …
56Lorentz factor — The Lorentz factor or Lorentz term appears in several equations in special relativity, including time dilation, length contraction, and the relativistic mass formula. Because of its ubiquity, physicists generally represent it with the shorthand… …
57Time evolution — is the change of state brought about by the passage of time, applicable to systems with internal state (also called stateful systems ). In this formulation, time is not required to be a continuous parameter, but may be discrete or even . In… …
58Hairy ball theorem — The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on the sphere. If f is a continuous function that assigns a vector in R3 to every point p on a sphere such that f ( p ) is always… …
59Symmetry of second derivatives — In mathematics, the symmetry of second derivatives (also called the equality of mixed partials) refers to the possibility of interchanging the order of taking partial derivatives of a function of n variables. If the partial derivative with… …
60Stationary spacetime — In general relativity, a spacetime is said to be stationary if it admits a global, nowhere zero timelike Killing vector field. In a stationary spacetime, the metric tensor components, g {mu u}, may be chosen so that they are all independent of… …
