In mathematics, a commutation theorem for traces explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the...

mathématique. 4 vols., Springer-Verlag 1998–2001. Commutation theorem for traces Plancherel theorem for spherical functions Standard L-function "Décès de...

Hilbert algebras occur in the theory of von Neumann algebras in: Commutation theorem for traces § Hilbert algebras Tomita–Takesaki theory#Left Hilbert algebras...

Stone–von Neumann theorem gives a uniqueness result for operators satisfying (an exponentiated form of) the canonical commutation relation. By contrast...

the Stone–von Neumann theorem refers to any one of a number of different formulations of the uniqueness of the canonical commutation relations between position...

Wick's theorem is a method of reducing high-order derivatives to a combinatorics problem. It is named after Italian physicist Gian Carlo Wick. It is used...

fluctuation–dissipation theorem (FDT) or fluctuation–dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior...

commutation et réarrangements, Lecture Notes in Mathematics, no. 85, Springer, Berlin, 1969. L. Carlitz, An Application of MacMahon's Master Theorem,...

In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves...

Astrophysical Journal 482:L115–17 Biography portal Mathematics portal Commutation theorem for traces Metaplectic group Symplectic group Symplectic spinor bundle...

equivalence under all reorderings. The trace monoid or free partially commutative monoid is a monoid of traces. Traces were introduced by Pierre Cartier and...

mathematics, Hurwitz's theorem is a theorem of Adolf Hurwitz (1859–1919), published posthumously in 1923, solving the Hurwitz problem for finite-dimensional...

theorem. Suppose U(s) and V(t) are one parameter unitary groups on a Hilbert space H {\displaystyle {\mathcal {H}}} satisfying the Weyl commutation relations...

Weyl relations, so that the Stone–von Neumann theorem (guaranteeing uniqueness of the canonical commutation relations) holds. The Weyl transform (or Weyl...

Pierre; Foata, Dominique (14 November 2006). Problèmes combinatoires de commutation et réarrangements. Springer. ISBN 9783540360940. (1st edition 1969) Waldschmidt...

{\displaystyle {\hat {b}}} . These two results can be combined with the commutation relation obeyed by b ^ {\displaystyle {\hat {b}}} and b ^ † {\displaystyle...

This result is behind the "exponentiated commutation relations" that enter into the Stone–von Neumann theorem. A simple proof of this identity is given...

Neumann algebras (I, II, or III) is the maximum of their types. The commutation theorem for tensor products states that ( M ⊗ N ) ′ = M ′ ⊗ N ′ , {\displaystyle...

to the identity at t = 0. For an explanation of the phase factors ξ, see Wigner's theorem. The commutation relations in m for a basis, [ X i , X j ] =...

sl2-triple is a triple of elements of a Lie algebra that satisfy the commutation relations between the standard generators of the special linear Lie algebra...

operators on the space of states that satisfy certain natural commutation relations. These commutation relations typically come from a symmetry of the problem—specifically...

the same commutation relations as the infinitesimal generators of the SU(3) group, detailed above. As such, the symmetry group of Hamiltonian for a linear...

XX~=~~~~O,\qquad YY~=~~O,} where O is the 2×2 all-zero matrix. Hence their commutation relations are [ H , X ] = 2 X , [ H , Y ] = − 2 Y , [ X , Y ] = H . {\displaystyle...

in any order), but only up to a lock or mutex, which prevent further commutation (e.g. serialize thread access to some object). We define a pair of words...

means of its Lie algebra. (The commutation relations among the angular momentum operators are just the relations for the Lie algebra s o ( 3 ) {\displaystyle...

a sign: +1 for proper rotations and −1 for improper rotations. Since operators can be shown to form a vector operator by their commutation relation with...

{x}}} and p ^ {\displaystyle {\hat {p}}} that satisfy the canonical commutation relation [ x ^ , p ^ ] = i ℏ . {\displaystyle [{\hat {x}},{\hat {p}}]=i\hbar...

the spatial Dirac matrices multiplied by i, have the same squaring and commutation properties as the Pauli matrices. What is more, the value of the gyromagnetic...

phase space) as self-adjoint operators on this space. The canonical commutation relations are imposed: [ q ^ i , q ^ j ] = 0 , [ p ^ i , p ^ j ] = 0...

, q ] = 2 p × q , {\displaystyle [p,q]=2p\times q,} which gives the commutation relationship q p = p q − 2 p × q . {\displaystyle qp=pq-2p\times q.}...