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searching for One-parameter group 20 found (45 total)

Resolvent formalism (866 words) [view diff] exact match in snippet view article find links to article

the one-parameter group of transformations generated by A. Thus, for example, if A is a skew-Hermitian matrix, then U(t) = exp(tA) is a one-parameter group

Continuous symmetry (316 words) [view diff] exact match in snippet view article find links to article

by u units, as u varies, is a one-parameter group of motions. Rotation around the z-axis is also a one-parameter group. Continuous symmetry has a basic

Killing horizon (859 words) [view diff] exact match in snippet view article find links to article

relationship between thermal radiation and spacetimes that admit a one-parameter group of isometries possessing a bifurcate Killing horizon, which consists

Locally compact quantum group (1,826 words) [view diff] exact match in snippet view article find links to article

and densely defined. Definition (one-parameter group). Let A {\displaystyle A} be a C*-algebra. A one-parameter group on A {\displaystyle A} is a family

Time evolution (1,014 words) [view diff] exact match in snippet view article find links to article

the case of a homogeneous system, the mappings Gt = Ft,0 form a one-parameter group of transformations of X, that is G t + s = G t ⁡ G s . {\displaystyle

Mathematical formulation of quantum mechanics (8,101 words) [view diff] exact match in snippet view article find links to article

observables are real-valued functions on it, time evolution is given by a one-parameter group of symplectic transformations of the phase space, and physical symmetries

Riemann curvature tensor (2,928 words) [view diff] exact match in snippet view article find links to article

pair of commuting vector fields. Each of these fields generates a one-parameter group of diffeomorphisms in a neighborhood of x 0 {\displaystyle x_{0}}

Bound state (2,314 words) [view diff] exact match in snippet view article find links to article

with separable complex Hilbert space H {\displaystyle H} . Define a one-parameter group of unitary operators ( U t ) t ∈ R {\displaystyle (U_{t})_{t\in \mathbb

Path integral formulation (14,277 words) [view diff] no match in snippet view article find links to article

caveat. The functional measure would have to be invariant under the one parameter group of symmetry transformation as well. Let's just assume for simplicity

Stationary spacetime (1,033 words) [view diff] exact match in snippet view article find links to article

interpretation. The time translation Killing vector generates a one-parameter group of motion G {\displaystyle G} in the spacetime M {\displaystyle M}

General covariant transformations (784 words) [view diff] exact match in snippet view article find links to article

}\partial _{\lambda }} on X {\displaystyle X} , whose flow is a one-parameter group of diffeomorphisms of X {\displaystyle X} . Conversely, let τ = τ

Jet bundle (7,607 words) [view diff] exact match in snippet view article find links to article

flow generated by a vector field Vr on the jet space Jr(π) forms a one-parameter group of contact transformations if and only if the Lie derivative L V

Lorentz group (9,875 words) [view diff] exact match in snippet view article find links to article

Hermitian. It may be helpful to briefly recall here how to obtain a one-parameter group from a vector field, written in the form of a first order linear

Theodore Frankel (774 words) [view diff] exact match in snippet view article find links to article

inequalities. Given a Killing vector field for which the corresponding one-parameter group of isometries acts by holomorphic mappings, Frankel used the Cartan

Butcher group (4,050 words) [view diff] exact match in snippet view article find links to article

independent of μ. The complex Butcher group comes with a natural one-parameter group λw of automorphisms, dual to that on H λ w ( t ) = w | t | t {\displaystyle

Lieb–Robinson bounds (4,663 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A} with a finite support Hamiltonian defines a continuous one-parameter group τ t {\displaystyle \tau _{t}} of transformations of the observables

Hermitian symmetric space (7,418 words) [view diff] exact match in snippet view article find links to article

fact J lies in k {\displaystyle {\mathfrak {k}}} and exp tJ forms a one-parameter group in the center of K. This follows because if A, B, C, D lie in m {\displaystyle

Lie point symmetry (2,893 words) [view diff] exact match in snippet view article find links to article

finite-dimensional Lie algebras are considered. A dynamical system (or flow) is a one-parameter group action. Let us denote by D {\displaystyle {\mathcal {D}}} such a

Borel–de Siebenthal theory (3,339 words) [view diff] exact match in snippet view article find links to article

case J lies in k {\displaystyle {\mathfrak {k}}} and exp Jt forms a one-parameter group in the center of K. This follows because if A, B, C, D lie in p {\displaystyle

Symmetric cone (16,608 words) [view diff] exact match in snippet view article find links to article

{Q(e^{a})=e^{2L(a)}.}} In fact Q(ea) is a positive operator, Q(eta) is a one-parameter group of positive operators: this follows by continuity for rational t